Base 10: Iteration Frequencies: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789

Color Key
OrangeFixed Pointnumber that becomes itself after one iteration
GreenFinal Numbersall numbers eventually reached, from all cycles
PurpleCycle Startiterations include entry into cycle, assuming it repeats
RedFull Cycleiterations include entire cycle, proving it repeats
BlueStart Numberssubset (optimization) of all numbers; minimal for full coverage
GrayNo Resultsany calculation that has no results

Digits 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79
Average Steps
Cycle Start
0.90 step
avg
1.29 step
avg
3.27 step
avg
4.65 step
avg
2.78 step
avg
5.57 step
avg
5.80 step
avg
7.64 step
avg
5.76 step
avg
6.88 step
avg
6.25 step
avg
6.67 step
avg
5.77 step
avg
7.07 step
avg
5.34 step
avg
6.73 step
avg
6.09 step
avg
6.59 step
avg
8.18 step
avg
6.29 step
avg
8.81 step
avg
5.89 step
avg
8.30 step
avg
5.73 step
avg
7.55 step
avg
5.83 step
avg
6.78 step
avg
6.69 step
avg
6.19 step
avg
6.99 step
avg
5.76 step
avg
6.77 step
avg
5.48 step
avg
6.51 step
avg
5.41 step
avg
6.23 step
avg
5.71 step
avg
5.91 step
avg
5.78 step
avg
5.65 step
avg
5.60 step
avg
5.49 step
avg
5.39 step
avg
5.44 step
avg
5.20 step
avg
5.63 step
avg
5.02 step
avg
5.69 step
avg
4.87 step
avg
5.56 step
avg
4.75 step
avg
5.42 step
avg
4.73 step
avg
5.29 step
avg
4.85 step
avg
5.16 step
avg
4.89 step
avg
5.04 step
avg
4.80 step
avg
4.95 step
avg
4.70 step
avg
4.93 step
avg
4.62 step
avg
5.02 step
avg
4.53 step
avg
5.03 step
avg
4.45 step
avg
4.96 step
avg
4.39 step
avg
4.88 step
avg
4.38 step
avg
4.81 step
avg
4.44 step
avg
4.74 step
avg
4.46 step
avg
4.67 step
avg
4.42 step
avg
4.62 step
avg
4.37 step
avg
Step Frequency
Cycle Start
0s:
1s:


0s:
1s:
2s:

31×
20×
0s:
1s:
2s:
3s:
4s:
5s:
6s:

39×
28×
54×
46×
34×
18×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:

29×
34×
140×
129×
113×
153×
116×
0s:
1s:
2s:
3s:
4s:
5s:
6s:

519×
466×
354×
342×
242×
78×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:

308×
531×
838×
452×
521×
468×
398×
472×
379×
378×
88×
166×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:

631×
958×
1,136×
1,234×
956×
1,516×
2,088×
1,050×
930×
394×
320×
168×
58×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:

599×
2,405×
3,317×
2,691×
1,378×
1,265×
1,407×
1,317×
1,478×
1,217×
1,105×
1,636×
1,065×
1,297×
629×
343×
430×
722×

0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:

1,769×
4,522×
6,576×
4,268×
4,794×
6,610×
5,704×
6,074×
4,886×
1,992×
838×
538×
48×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:

1,195×
8,121×
11,831×
12,254×
11,427×
7,085×
6,256×
4,846×
3,893×
3,833×
4,709×
4,837×
5,251×
4,394×
1,253×
933×
259×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:

2,181×
10,342×
16,486×
18,814×
18,464×
25,844×
19,710×
24,312×
13,956×
7,562×
4,726×
3,630×
1,674×
78×
150×
30×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:

2,423×
25,577×
33,760×
35,629×
40,331×
33,419×
26,619×
16,152×
11,343×
11,771×
12,025×
14,237×
15,920×
7,911×
3,643×
2,304×
847×
18×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:

3,715×
30,680×
58,518×
74,906×
76,952×
82,534×
69,176×
35,966×
23,910×
14,882×
11,234×
7,454×
3,740×
2,604×
936×
166×
46×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:

4,481×
69,545×
100,626×
90,010×
101,848×
87,786×
90,482×
47,366×
29,709×
22,864×
26,507×
29,958×
35,296×
24,860×
17,537×
11,459×
4,778×
5,574×
4,406×
3,812×
4,475×
2,012×
1,656×
98×
44×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:

6,855×
81,758×
206,584×
188,738×
210,808×
230,890×
182,808×
115,622×
57,290×
18,254×
5,546×
1,770×
494×
86×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
26s:

8,428×
188,857×
290,927×
239,874×
220,089×
176,763×
207,834×
171,115×
126,119×
78,352×
48,958×
58,042×
62,180×
60,054×
47,121×
28,822×
9,567×
2,988×
2,401×
3,009×
4,405×
3,612×
1,330×
1,006×
1,049×
72×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:

9,369×
165,982×
445,678×
383,380×
369,012×
430,146×
423,692×
339,376×
224,878×
155,888×
66,172×
59,094×
31,384×
14,368×
5,804×
248×
50×
28×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:

13,076×
428,347×
683,557×
609,845×
499,613×
399,912×
443,726×
388,232×
332,573×
230,777×
127,694×
96,932×
98,387×
95,159×
86,158×
60,332×
35,228×
30,477×
11,097×
9,236×
3,587×
2,809×
70×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:

11,129×
284,572×
685,672×
557,060×
552,434×
608,538×
599,986×
538,892×
466,980×
447,352×
399,644×
549,174×
505,856×
296,328×
232,416×
96,056×
49,272×
20,990×
4,104×
320×
124×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
26s:
27s:
28s:

21,422×
980,995×
1,599,950×
1,465,542×
1,222,239×
1,020,198×
838,440×
555,872×
492,447×
490,480×
304,844×
180,428×
175,203×
158,790×
168,962×
154,861×
80,120×
40,901×
22,989×
15,014×
7,106×
5,160×
4,847×
1,623×
4,765×
1,728×
62×
16×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:

15,511×
515,232×
1,353,262×
1,088,194×
1,058,214×
1,029,164×
1,043,166×
1,008,360×
891,632×
764,992×
838,208×
1,147,936×
1,240,976×
844,310×
738,962×
449,496×
160,028×
91,120×
24,086×
3,422×
848×
30×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
26s:
27s:
28s:
29s:
30s:
31s:
32s:

34,432×
2,102,455×
3,667,350×
3,158,606×
2,619,465×
2,160,775×
1,725,399×
1,018,501×
848,717×
663,259×
486,136×
344,168×
272,160×
250,904×
249,047×
203,441×
122,759×
94,178×
52,126×
27,804×
18,246×
7,419×
5,027×
5,169×
5,930×
1,716×
2,589×
5,721×
2,773×
1,621×
2,091×
90×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:

25,425×
1,098,144×
2,986,822×
2,474,856×
2,197,192×
2,420,264×
2,166,118×
2,148,764×
1,767,186×
1,527,292×
1,592,742×
1,826,012×
2,191,232×
1,449,314×
1,087,104×
648,044×
231,160×
149,396×
53,034×
7,446×
1,002×
250×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
26s:
27s:
28s:
29s:
30s:
31s:
32s:
33s:
34s:
35s:

51,923×
4,184,849×
7,493,547×
6,106,332×
5,015,434×
4,212,810×
3,224,375×
2,248,905×
1,564,619×
930,297×
621,927×
521,870×
467,643×
414,387×
372,952×
334,030×
237,179×
192,458×
216,215×
48,509×
15,185×
14,077×
8,986×
9,713×
8,617×
5,033×
6,954×
11,328×
6,500×
4,998×
7,626×
2,735×
2,961×
2,101×
24×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:

41,041×
2,324,618×
6,810,738×
5,460,564×
4,717,920×
5,148,484×
4,720,830×
4,381,118×
3,342,442×
2,538,116×
2,310,574×
2,512,784×
3,340,894×
2,172,170×
1,444,888×
723,710×
237,060×
141,696×
72,938×
7,544×
1,054×
72×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
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17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
26s:
27s:
28s:
29s:
30s:
31s:
32s:
33s:
34s:
35s:

72,753×
7,715,689×
13,819,293×
10,602,785×
7,718,708×
6,457,426×
5,921,521×
5,164,124×
3,977,145×
2,717,479×
1,746,224×
1,170,330×
723,733×
621,898×
536,569×
437,301×
362,289×
333,947×
284,334×
82,205×
35,203×
18,466×
5,182×
10,744×
9,508×
4,616×
8,832×
13,074×
11,018×
6,614×
8,098×
4,935×
2,141×
2,625×
650×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:

66,617×
4,786,140×
14,170,476×
12,042,950×
9,627,554×
10,040,950×
9,623,774×
8,232,270×
5,705,248×
4,247,038×
3,321,574×
3,302,810×
3,910,382×
2,647,388×
1,268,524×
726,260×
228,020×
143,550×
46,250×
3,888×
1,328×
288×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:
23s:
24s:
25s:
26s:
27s:
28s:
29s:
30s:
31s:
32s:
33s:
34s:
35s:

97,731×
13,476,247×
23,192,758×
16,172,479×
10,952,296×
8,341,812×
8,258,013×
7,106,528×
5,452,895×
4,608,867×
5,410,099×
6,446,866×
5,822,987×
3,379,221×
1,831,632×
1,323,462×
799,413×
576,622×
480,243×
247,079×
112,912×
73,464×
35,055×
37,872×
39,780×
20,326×
28,737×
26,636×
13,294×
11,414×
11,946×
2,891×
2,933×
9,085×
24×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:

107,091×
9,699,506×
27,777,624×
24,525,070×
19,514,106×
18,892,404×
16,025,948×
13,169,200×
8,544,356×
5,591,100×
4,379,460×
4,270,052×
4,882,604×
3,050,772×
1,403,420×
747,364×
233,238×
137,306×
53,338×
6,198×
1,452×
30×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
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18s:
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23s:
24s:
25s:
26s:
27s:
28s:
29s:
30s:
31s:
32s:
33s:
34s:
35s:

132,777×
23,197,571×
39,620,694×
26,516,070×
17,202,974×
13,302,944×
12,665,755×
10,929,489×
8,696,481×
7,569,131×
9,098,770×
10,399,198×
9,750,930×
6,893,604×
6,014,710×
3,882,326×
2,165,415×
1,385,315×
1,069,378×
453,564×
293,594×
148,222×
92,742×
112,341×
76,766×
47,937×
52,373×
34,005×
35,352×
31,775×
16,779×
10,726×
8,246×
5,342×
1,835×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
7s:
8s:
9s:
10s:
11s:
12s:
13s:
14s:
15s:
16s:
17s:
18s:
19s:
20s:
21s:
22s:

166,785×
18,723,574×
52,600,958×
45,480,790×
36,154,396×
31,653,372×
25,303,010×
20,026,948×
11,935,508×
6,932,564×
5,495,596×
5,592,168×
6,521,018×
3,889,978×
1,633,194×
886,520×
230,902×
149,380×
55,372×
4,914×
1,564×
368×
0s:
1s:
2s:
3s:
4s:
5s:
6s:
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177,746×
38,922,255×
67,636,271×
45,160,358×
27,379,039×
24,014,099×
22,250,175×
19,899,665×
14,289,866×
12,502,233×
14,948,648×
15,399,571×
15,645,758×
11,058,748×
8,702,740×
4,703,945×
2,227,593×
1,596,382×
1,193,032×
783,578×
660,855×
332,148×
185,533×
185,919×
141,986×
79,627×
103,227×
53,133×
35,977×
34,871×
17,699×
8,116×
6,986×
5,659×
126×
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249,303×
34,299,184×
93,891,578×
77,856,658×
59,038,030×
51,071,888×
39,723,266×
31,884,758×
17,928,776×
9,356,606×
6,800,092×
7,029,174×
8,895,322×
4,428,248×
1,781,624×
1,121,940×
305,426×
158,722×
62,854×
6,636×
1,694×
30×
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238,010×
64,160,967×
112,498,871×
74,667,187×
46,562,325×
43,430,603×
39,266,043×
32,449,180×
23,217,595×
19,304,130×
20,765,437×
21,126,726×
22,300,645×
15,511,968×
11,409,368×
5,779,201×
2,886,425×
1,985,001×
1,582,189×
1,144,740×
1,084,991×
675,234×
558,406×
550,948×
249,642×
119,988×
167,781×
82,354×
51,492×
48,280×
20,040×
10,920×
8,406×
5,371×
1,530×
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357,721×
59,624,202×
157,770,328×
124,445,722×
85,432,582×
72,766,154×
58,255,110×
53,302,582×
33,398,106×
20,113,818×
12,521,156×
9,889,374×
11,856,588×
5,232,114×
2,059,494×
1,340,942×
323,058×
169,290×
64,634×
5,202×
1,882×
448×
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317,638×
103,760,803×
184,063,498×
121,047,471×
76,070,748×
71,422,422×
67,772,886×
55,306,079×
38,046,033×
29,094,780×
27,682,046×
27,537,351×
27,074,461×
19,629,953×
13,219,985×
7,116,646×
4,072,395×
2,697,267×
2,343,628×
1,717,688×
1,531,722×
1,218,478×
875,303×
1,019,623×
608,463×
305,101×
212,511×
102,904×
66,706×
115,765×
78,705×
16,363×
11,255×
6,433×
24×
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499,249×
99,307,340×
252,733,422×
187,619,130×
121,014,024×
99,238,996×
77,493,366×
66,407,332×
39,344,438×
25,522,406×
28,043,476×
33,435,958×
37,389,730×
18,420,778×
7,196,142×
4,535,736×
2,537,884×
752,776×
192,640×
29,386×
2,090×
30×
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422,828×
165,212,255×
294,862,134×
194,529,102×
128,487,554×
120,739,556×
105,070,302×
83,590,658×
54,519,312×
40,336,305×
36,711,618×
35,807,271×
33,420,874×
23,595,744×
15,090,008×
8,418,040×
5,342,302×
3,599,785×
2,745,615×
2,319,318×
2,049,409×
1,538,048×
1,165,880×
1,066,864×
792,744×
424,939×
306,581×
147,900×
103,471×
120,969×
52,662×
26,916×
21,414×
8,796×
1,970×
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679,631×
160,758,388×
394,640,262×
281,240,176×
178,467,120×
146,812,976×
111,879,928×
92,559,016×
55,211,544×
36,357,740×
41,544,084×
47,519,166×
48,713,226×
27,404,704×
20,515,634×
17,098,436×
8,940,262×
4,167,300×
1,961,102×
605,276×
27,370×
3,120×
178×
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559,243×
257,444,545×
469,042,027×
314,089,202×
209,171,315×
191,139,821×
152,126,587×
114,908,647×
72,604,808×
50,145,415×
45,777,991×
43,392,650×
43,028,496×
28,671,415×
18,131,643×
10,518,048×
7,356,954×
6,364,208×
4,214,346×
3,612,654×
3,246,201×
2,627,954×
1,959,879×
1,501,427×
1,041,419×
502,221×
452,914×
254,672×
208,620×
184,345×
79,622×
32,880×
42,513×
18,649×
1,125×
1,177×
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909,489×
254,675,254×
606,033,132×
421,879,274×
264,536,148×
220,473,638×
170,588,848×
141,269,060×
83,722,454×
52,586,016×
60,304,810×
66,972,024×
71,265,492×
37,878,636×
24,950,278×
15,549,186×
7,878,204×
2,449,220×
1,305,042×
181,030×
24,674×
1,612×
178×
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731,909×
394,366,351×
723,185,225×
480,893,513×
318,411,171×
281,739,267×
221,644,511×
163,269,492×
99,026,713×
65,738,488×
58,116,571×
54,625,098×
56,738,617×
36,947,923×
23,220,703×
14,728,567×
10,427,825×
8,714,254×
6,333,794×
5,678,752×
4,075,763×
3,086,920×
2,881,088×
2,402,348×
1,943,540×
1,071,905×
759,817×
453,121×
456,635×
310,847×
119,902×
67,339×
82,947×
40,310×
9,302×
9,620×
2,201×
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1,198,385×
394,832,212×
920,833,892×
635,021,410×
388,689,936×
327,552,136×
256,608,160×
207,528,146×
118,675,766×
73,354,436×
77,185,972×
82,272,938×
87,575,910×
48,703,466×
31,147,440×
17,386,620×
6,606,382×
2,210,820×
1,481,804×
136,382×
64,038×
8,568×
580×
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947,541×
591,469,197×
1,086,995,276×
701,581,813×
441,144,066×
379,445,956×
302,406,190×
247,821,053×
163,492,387×
116,901,908×
92,350,376×
70,832,893×
70,921,165×
46,528,044×
27,769,960×
18,913,280×
14,942,490×
12,806,432×
9,280,775×
7,914,547×
5,697,161×
4,568,816×
4,294,473×
3,569,079×
2,715,786×
2,030,549×
1,535,684×
793,966×
611,217×
522,373×
262,010×
241,364×
159,939×
70,988×
22,654×
34,547×
14,890×
1,383×
1,321×
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1,556,761×
600,322,278×
1,372,211,396×
931,653,386×
566,452,442×
480,536,846×
376,887,722×
304,322,052×
169,369,084×
105,072,420×
98,363,834×
97,419,002×
100,379,050×
54,117,288×
31,349,274×
18,321,174×
5,810,962×
2,293,442×
1,356,558×
138,062×
3,196×
30×
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1,208,525×
870,392,487×
1,581,116,914×
984,377,494×
596,966,482×
499,379,410×
388,489,316×
301,582,140×
195,635,454×
139,616,387×
155,101,530×
159,946,071×
167,019,648×
112,110,704×
55,075,096×
34,885,154×
29,666,167×
22,227,111×
13,248,660×
11,202,253×
8,012,856×
5,879,750×
5,307,000×
4,775,360×
4,013,951×
3,125,122×
3,151,327×
1,718,225×
937,745×
717,744×
423,332×
494,533×
279,107×
130,352×
58,119×
77,041×
33,731×
7,724×
9,538×
2,489×
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1,997,619×
896,651,130×
2,014,614,874×
1,347,429,124×
814,026,632×
703,944,834×
546,860,582×
423,772,210×
229,097,682×
136,469,196×
118,436,336×
115,903,026×
112,096,976×
58,026,136×
28,484,042×
18,200,714×
5,680,888×
2,561,970×
1,525,696×
185,170×
2,874×
688×
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1,528,678×
1,261,532,211×
2,273,116,109×
1,385,506,118×
827,161,037×
694,136,163×
525,861,111×
396,017,599×
251,713,106×
182,836,403×
202,078,231×
212,898,530×
209,784,930×
151,489,029×
110,817,995×
89,817,431×
70,131,865×
43,911,908×
26,586,550×
20,140,574×
12,255,960×
8,801,395×
8,062,295×
6,751,739×
5,565,404×
5,374,814×
3,951,030×
3,366,160×
1,507,183×
1,306,027×
824,267×
582,988×
422,677×
202,480×
117,810×
152,697×
75,141×
24,924×
35,339×
13,728×
1,373×
1,465×
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2,533,857×
1,317,313,690×
2,912,053,986×
1,929,405,202×
1,174,313,440×
991,489,038×
757,756,624×
553,549,736×
297,709,356×
172,443,104×
141,273,140×
137,876,468×
135,115,230×
64,813,868×
32,148,020×
18,999,856×
6,040,836×
2,394,660×
1,597,708×
43,126×
2,974×
30×
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1,918,232×
1,805,399,837×
3,227,835,133×
1,950,529,451×
1,162,559,989×
984,440,945×
744,360,463×
568,321,110×
345,675,089×
246,545,152×
280,178,941×
277,725,728×
291,836,283×
188,379,137×
125,639,425×
93,668,301×
72,616,324×
53,266,680×
33,262,953×
25,175,276×
19,075,981×
12,420,185×
11,176,799×
10,317,284×
7,715,803×
6,590,590×
5,396,779×
4,186,819×
3,181,565×
2,206,422×
1,504,658×
747,144×
664,803×
323,206×
222,245×
270,117×
126,193×
60,627×
85,331×
40,971×
8,556×
11,956×
2,777×
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3,180,687×
1,905,216,750×
4,145,199,700×
2,714,687,848×
1,644,531,902×
1,374,524,322×
1,032,868,438×
740,907,948×
395,483,600×
209,484,046×
170,202,762×
155,667,726×
158,414,784×
72,064,628×
31,157,432×
19,526,184×
5,631,192×
2,582,970×
1,741,990×
63,590×
3,392×
768×
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2,388,576×
2,549,824,049×
4,544,917,264×
2,727,909,999×
1,612,974,862×
1,394,920,402×
1,034,971,510×
781,991,663×
473,498,715×
336,736,350×
359,070,866×
346,509,435×
350,048,509×
220,833,830×
147,830,186×
111,047,624×
79,719,132×
60,741,465×
43,836,553×
37,006,665×
28,785,177×
19,196,236×
16,253,288×
12,837,386×
10,020,958×
8,423,194×
7,739,528×
5,958,210×
4,449,151×
3,695,771×
2,988,497×
1,508,298×
1,108,030×
494,610×
381,438×
462,745×
223,683×
128,306×
166,407×
74,207×
27,588×
42,067×
17,956×
1,509×
1,609×
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3,945,361×
2,709,576,354×
5,793,610,620×
3,702,364,634×
2,169,084,440×
1,776,478,920×
1,319,474,258×
1,028,165,034×
583,211,990×
347,857,234×
284,750,778×
205,957,456×
198,291,144×
91,070,994×
38,541,182×
22,621,190×
6,787,380×
2,670,026×
1,982,132×
145,582×
4,400×
160×
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2,952,060×
3,559,112,273×
6,318,461,538×
3,788,670,248×
2,222,258,140×
1,910,919,754×
1,435,408,986×
1,076,823,234×
640,706,482×
464,961,823×
434,096,238×
415,806,489×
414,984,976×
257,678,398×
163,148,510×
127,608,688×
93,707,115×
67,941,133×
56,774,894×
43,606,391×
35,714,000×
24,676,118×
21,589,818×
20,997,545×
14,486,578×
12,390,824×
10,684,495×
7,956,303×
6,080,315×
5,451,030×
4,168,142×
2,660,706×
1,754,867×
779,859×
625,135×
781,843×
352,689×
239,563×
296,571×
146,203×
68,485×
95,185×
42,115×
9,388×
11,602×
3,065×
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4,846,353×
3,797,128,078×
7,962,347,282×
4,935,772,616×
2,832,153,156×
2,264,649,330×
1,657,888,756×
1,205,726,304×
677,452,504×
386,698,396×
425,982,994×
416,619,220×
453,985,554×
283,080,298×
106,911,986×
56,349,650×
37,282,842×
22,737,906×
9,677,492×
2,754,284×
504,486×
35,024×
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3,623,675×
4,914,557,529×
8,698,617,645×
5,183,656,256×
3,047,098,769×
2,629,902,779×
1,987,792,445×
1,453,368,585×
833,813,182×
567,148,483×
523,592,531×
487,893,402×
479,562,798×
275,581,171×
183,156,325×
142,176,001×
109,404,843×
83,164,636×
64,675,934×
54,619,658×
44,170,222×
33,958,693×
30,998,347×
28,951,765×
20,444,301×
21,122,143×
14,823,512×
11,286,976×
9,281,967×
8,056,925×
6,959,623×
4,094,978×
2,962,950×
1,525,790×
1,320,637×
1,185,029×
554,055×
418,992×
474,267×
231,389×
145,738×
188,825×
92,847×
30,252×
42,859×
16,752×
1,645×
1,753×
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5,903,919×
5,256,947,608×
10,813,430,704×
6,540,913,334×
3,714,818,390×
3,014,688,602×
2,172,506,306×
1,523,645,372×
838,958,190×
500,399,512×
528,616,750×
555,223,626×
545,849,222×
342,645,054×
206,206,962×
182,043,896×
149,216,434×
58,666,724×
36,863,478×
19,984,830×
6,083,586×
505,600×
13,124×
216×
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4,421,293×
6,715,724,677×
11,838,662,725×
7,044,882,573×
4,206,519,379×
3,587,999,915×
2,652,307,881×
1,852,249,882×
1,023,577,153×
690,104,038×
619,065,877×
558,477,274×
557,217,705×
308,768,723×
206,499,099×
167,073,913×
129,828,296×
110,007,866×
85,442,455×
73,067,966×
60,503,983×
43,532,959×
40,753,537×
36,230,222×
26,114,279×
28,080,247×
21,341,918×
14,280,291×
12,502,529×
10,969,598×
8,915,238×
5,757,492×
5,491,201×
3,071,543×
2,805,467×
1,742,180×
854,509×
671,577×
777,495×
394,925×
269,949×
333,109×
156,143×
73,571×
103,267×
49,775×
10,220×
14,292×
3,353×
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7,137,681×
7,195,425,960×
14,577,256,174×
8,713,451,580×
4,875,218,142×
4,014,305,444×
2,878,339,558×
2,049,899,170×
1,105,023,614×
677,903,300×
712,477,544×
719,256,050×
734,292,272×
414,436,104×
227,175,812×
176,961,822×
128,205,146×
38,464,212×
23,286,548×
10,889,338×
463,470×
180,976×
15,202×
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5,353,565×
9,083,231,017×
15,952,421,850×
9,413,350,069×
5,662,727,406×
4,765,898,872×
3,480,243,814×
2,384,153,523×
1,319,729,087×
833,886,194×
741,224,272×
652,467,789×
630,900,761×
362,964,256×
233,332,836×
198,914,744×
158,463,932×
133,164,019×
102,072,125×
92,617,673×
90,009,917×
62,518,086×
58,832,632×
53,342,866×
33,779,378×
34,220,300×
27,641,089×
22,407,985×
20,815,121×
14,695,455×
11,737,269×
8,723,052×
8,954,394×
4,548,064×
2,987,043×
3,031,297×
1,569,236×
1,504,312×
1,170,217×
600,851×
470,850×
566,617×
275,983×
154,948×
201,111×
90,729×
32,916×
50,131×
21,556×
1,781×
1,897×
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8,568,849×
9,745,593,990×
19,452,228,220×
11,540,366,082×
6,451,747,290×
5,313,310,478×
3,827,936,796×
2,679,098,658×
1,446,897,262×
891,899,946×
889,213,368×
869,792,904×
859,927,410×
444,587,226×
237,712,700×
183,029,514×
116,506,398×
37,685,348×
26,024,360×
10,778,022×
557,168×
23,164×
37,978×
5,060×
368×
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6,438,687×
12,163,362,081×
21,230,489,664×
12,390,651,304×
7,253,482,326×
5,980,366,532×
4,299,498,734×
3,098,656,422×
1,862,039,794×
1,274,686,969×
1,131,901,412×
831,408,839×
774,978,262×
445,516,082×
274,652,990×
226,943,972×
191,187,461×
162,289,323×
133,110,446×
128,741,919×
120,063,696×
83,836,084×
78,562,728×
68,230,373×
49,202,636×
42,384,982×
34,474,631×
26,823,800×
22,051,802×
20,220,254×
16,734,696×
12,588,690×
10,372,171×
7,569,871×
4,620,509×
4,363,684×
2,646,495×
2,615,394×
1,896,831×
1,009,525×
788,835×
882,349×
435,939×
289,625×
358,031×
178,741×
81,701×
113,329×
50,499×
11,052×
13,666×
3,641×
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10,220,025×
13,068,025,820×
25,738,714,164×
15,106,160,464×
8,483,537,748×
6,960,239,784×
5,008,196,514×
3,497,322,784×
1,920,632,416×
1,207,301,334×
1,072,773,504×
1,011,295,714×
965,978,502×
470,111,868×
235,320,308×
194,540,342×
104,592,144×
27,799,310×
23,378,376×
6,520,392×
279,172×
20,400×
38,606×
5,060×
368×
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7,694,542×
16,135,191,253×
27,980,449,481×
16,053,175,300×
9,156,572,005×
7,427,269,521×
5,270,477,291×
3,539,415,329×
2,106,086,770×
1,417,145,103×
1,473,166,851×
1,355,178,928×
1,462,822,952×
1,048,333,509×
492,966,125×
358,190,323×
308,749,507×
284,266,298×
192,157,832×
176,355,108×
159,315,184×
117,574,623×
103,050,053×
88,928,157×
64,309,813×
55,979,599×
53,220,458×
38,272,276×
29,975,862×
26,599,532×
21,381,177×
18,973,282×
15,334,866×
10,958,668×
7,468,299×
6,471,889×
4,832,426×
3,363,774×
2,813,944×
1,675,147×
1,834,874×
1,354,219×
688,039×
506,484×
572,469×
281,645×
173,690×
224,953×
112,341×
35,580×
50,379×
19,776×
1,917×
2,041×
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12,120,171×
17,367,682,760×
33,756,376,530×
19,626,214,612×
11,114,126,680×
9,159,990,868×
6,580,339,798×
4,628,512,690×
2,386,276,360×
1,405,665,540×
1,265,256,206×
1,146,160,202×
1,067,919,654×
461,707,414×
223,751,638×
184,111,270×
81,983,976×
23,290,506×
25,365,912×
6,217,412×
942,426×
123,982×
8,824×
2,082×
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9,143,780×
21,221,623,457×
36,532,017,175×
20,725,889,617×
11,638,579,855×
9,503,319,387×
6,691,153,349×
4,327,810,042×
2,534,499,779×
1,744,336,370×
1,782,578,223×
1,756,645,976×
1,711,532,249×
1,213,690,903×
752,724,613×
713,411,175×
647,001,318×
388,108,056×
296,004,979×
270,002,516×
234,147,697×
149,912,525×
130,253,329×
111,525,458×
86,506,265×
82,193,185×
71,907,354×
52,244,743×
42,909,371×
36,452,065×
26,393,657×
22,576,382×
19,310,293×
15,689,421×
14,406,491×
10,760,692×
7,401,655×
4,837,280×
3,839,611×
2,467,560×
3,192,747×
2,144,601×
1,046,571×
810,561×
935,275×
479,139×
322,219×
396,101×
187,993×
86,515×
121,203×
58,955×
11,884×
16,628×
3,929×
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14,288,409×
22,875,611,896×
43,926,524,638×
25,402,188,144×
14,554,689,436×
11,968,011,558×
8,516,505,352×
5,684,959,264×
2,821,373,482×
1,673,149,914×
1,497,109,144×
1,280,350,702×
1,190,219,606×
492,752,584×
244,515,110×
193,776,998×
77,638,884×
23,791,342×
23,576,494×
5,613,292×
28,534×
1,116×
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10,808,498×
27,695,129,077×
47,353,008,684×
26,605,295,525×
14,952,873,632×
12,256,114,220×
8,504,981,416×
5,670,626,585×
3,314,340,993×
2,301,791,472×
2,285,874,770×
2,177,256,197×
2,118,216,459×
1,374,907,660×
838,244,834×
735,833,122×
677,914,828×
386,691,971×
317,401,891×
287,960,471×
262,353,511×
203,539,806×
175,665,604×
143,637,548×
108,371,984×
102,517,648×
84,866,705×
66,110,963×
60,125,997×
57,421,529×
40,374,740×
33,488,385×
24,710,168×
19,409,162×
14,974,491×
15,662,397×
10,892,710×
8,143,258×
6,492,474×
4,343,415×
4,070,447×
3,023,899×
1,496,795×
1,250,938×
1,401,751×
724,111×
560,102×
673,251×
331,891×
182,866×
235,815×
106,975×
38,244×
58,195×
25,156×
2,053×
2,185×
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16,754,799×
29,885,789,454×
56,755,863,590×
32,601,905,592×
18,697,945,478×
15,333,811,978×
10,793,530,738×
7,033,688,552×
3,556,531,138×
2,062,547,606×
1,714,731,446×
1,466,043,486×
1,314,550,756×
534,998,038×
251,362,548×
213,147,702×
76,909,754×
26,066,010×
24,568,570×
3,863,682×
19,856×
1,676×
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12,712,462×
35,875,942,633×
60,931,701,386×
33,952,989,928×
19,180,532,100×
15,766,872,502×
10,857,576,284×
7,271,873,142×
4,269,897,870×
2,956,628,385×
2,788,601,256×
2,628,239,169×
2,500,573,550×
1,476,108,646×
903,357,372×
787,515,688×
662,164,717×
412,426,641×
368,347,466×
331,637,871×
309,167,254×
268,636,570×
227,884,626×
177,519,435×
141,515,878×
132,375,316×
104,939,325×
84,006,626×
81,679,958×
74,332,796×
53,879,766×
53,200,943×
37,393,656×
25,490,013×
19,581,251×
18,821,542×
15,158,265×
13,117,692×
10,059,683×
7,244,752×
4,960,537×
3,942,294×
2,142,501×
1,841,913×
2,061,505×
1,105,049×
900,063×
1,047,261×
520,017×
340,779×
419,867×
209,627×
94,917×
131,473×
58,883×
12,716×
15,730×
4,217×
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19,546,225×
38,732,983,788×
72,795,939,702×
41,402,315,184×
23,318,767,490×
18,750,250,902×
13,074,739,038×
8,743,769,038×
4,781,931,358×
3,012,441,850×
2,558,943,058×
1,873,705,646×
1,564,150,226×
640,442,466×
283,007,814×
215,448,012×
73,707,674×
27,641,480×
26,518,024×
4,012,768×
34,192×
1,264×
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14,884,583×
46,144,174,511×
77,881,135,343×
43,132,625,062×
24,389,342,565×
20,070,819,989×
13,840,890,127×
9,390,848,879×
5,434,804,072×
3,794,752,195×
3,327,166,929×
2,990,145,264×
2,803,625,076×
1,549,728,873×
941,379,025×
888,505,403×
685,319,381×
451,135,008×
415,869,476×
383,574,186×
353,668,142×
282,651,859×
267,204,085×
231,627,519×
186,199,905×
170,978,245×
152,697,784×
114,559,200×
107,685,598×
90,993,108×
70,890,459×
79,767,104×
50,160,409×
39,195,643×
37,428,811×
28,013,125×
23,862,064×
14,137,014×
14,092,782×
11,325,227×
7,662,777×
6,142,291×
2,931,520×
2,682,906×
2,842,639×
1,598,901×
1,419,174×
1,562,529×
813,367×
593,936×
670,395×
331,325×
201,642×
261,081×
129,711×
40,908×
57,899×
22,800×
2,189×
2,329×
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22,692,977×
49,816,975,070×
92,554,384,852×
51,966,457,260×
28,846,713,320×
22,831,176,210×
15,751,797,620×
9,842,599,248×
5,348,613,786×
3,210,977,480×
3,189,329,948×
2,850,417,060×
2,987,627,314×
1,940,494,370×
733,892,862×
426,152,472×
283,770,764×
242,225,190×
116,981,304×
68,347,220×
14,387,528×
5,709,914×
364,130×
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17,345,525×
58,957,721,879×
98,849,922,869×
54,456,226,009×
31,061,304,541×
25,608,712,303×
17,680,673,565×
11,944,282,274×
6,538,857,931×
4,382,159,076×
3,871,145,615×
3,486,996,078×
3,162,492,395×
1,651,900,815×
990,581,531×
942,934,649×
715,996,316×
497,138,994×
495,792,607×
443,685,438×
406,617,347×
322,774,745×
318,616,647×
277,763,212×
235,222,125×
237,152,983×
205,277,162×
155,327,005×
143,336,869×
138,322,935×
90,656,575×
82,496,798×
63,920,875×
48,074,322×
42,650,422×
35,462,066×
29,200,021×
21,039,468×
23,616,987×
15,386,518×
11,586,681×
9,127,810×
4,449,947×
3,779,692×
3,998,409×
2,256,659×
2,090,907×
2,265,925×
1,217,971×
949,689×
1,093,463×
562,429×
372,925×
459,093×
217,647×
99,459×
139,139×
67,695×
13,548×
18,964×
4,505×
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26,230,543×
63,635,001,958×
116,989,093,842×
64,903,534,802×
35,720,202,162×
28,258,042,018×
19,322,877,268×
11,799,131,302×
6,326,798,114×
3,881,319,072×
3,806,079,244×
3,734,648,362×
3,418,678,810×
2,207,734,650×
1,164,467,696×
1,082,453,320×
1,034,536,696×
365,754,246×
227,672,896×
173,605,876×
46,495,040×
11,996,762×
414,532×
9,048×
5,938×
818×
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20,128,225×
74,853,131,833×
124,845,823,822×
68,478,114,271×
39,533,704,274×
32,467,788,778×
22,427,832,082×
14,360,298,891×
7,757,236,809×
5,112,204,030×
4,505,438,144×
3,863,980,007×
3,542,686,453×
1,736,432,590×
1,073,676,352×
1,062,305,970×
781,342,514×
574,286,999×
575,715,005×
513,589,191×
490,200,757×
398,790,934×
390,496,794×
354,654,802×
291,267,374×
287,664,232×
249,552,791×
191,116,973×
180,047,927×
164,280,247×
114,604,596×
97,760,531×
80,868,296×
64,430,050×
59,056,032×
47,199,074×
38,056,392×
30,436,420×
28,556,230×
22,781,941×
14,238,157×
12,358,711×
7,211,550×
6,812,054×
6,065,706×
3,158,727×
3,001,074×
3,286,943×
1,747,629×
1,467,584×
1,635,395×
850,355×
649,446×
778,201×
383,791×
209,220×
270,519×
123,529×
43,572×
66,259×
28,756×
2,325×
2,473×
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30,194,289×
80,758,549,168×
146,799,399,388×
80,806,036,126×
44,269,353,758×
35,144,856,562×
23,786,895,308×
14,972,142,574×
8,022,935,646×
5,147,064,118×
4,897,009,110×
4,537,491,654×
4,211,855,422×
2,525,490,176×
1,258,312,110×
1,060,784,904×
1,010,535,556×
316,100,972×
186,445,808×
106,647,140×
7,236,990×
782,636×
322,564×
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23,261,951×
94,457,372,215×
156,835,910,674×
85,713,318,618×
49,701,933,438×
40,492,177,436×
27,525,572,352×
17,210,619,630×
9,611,939,046×
6,256,300,227×
5,188,465,952×
4,318,342,029×
3,961,659,118×
1,944,062,508×
1,191,293,036×
1,182,170,264×
856,353,045×
637,929,435×
667,698,954×
600,624,525×
605,390,650×
484,776,076×
472,110,106×
456,043,473×
361,744,720×
348,903,752×
294,435,497×
237,001,380×
215,218,238×
196,024,310×
143,949,844×
134,873,915×
120,935,502×
79,730,199×
70,984,363×
64,239,851×
50,179,098×
42,067,950×
36,197,347×
27,790,668×
19,973,895×
18,206,130×
14,011,329×
11,079,632×
7,977,261×
4,341,576×
4,156,965×
4,758,899×
2,510,809×
2,157,757×
2,402,799×
1,290,985×
1,042,567×
1,209,229×
603,299×
390,461×
481,263×
242,437×
108,133×
149,617×
67,267×
14,380×
17,794×
4,793×
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34,625,737×
101,859,125,026×
183,196,614,058×
100,154,585,258×
55,117,784,058×
43,731,040,884×
29,510,404,086×
18,671,723,626×
10,018,304,658×
6,546,022,878×
5,788,888,960×
5,350,986,678×
4,789,892,118×
2,611,541,570×
1,357,538,188×
1,097,418,242×
935,464,622×
254,523,140×
211,232,484×
105,023,246×
7,390,036×
227,894×
2,792×