Lets count in factorials

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richie
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08 Feb 2010, 6:00 pm

39!=20397 882081 197443 358640 281739 902897 356800 000000 = 2 ^ 35 x 3 ^ 18 x 5
^ 8 x 7 ^ 5 x 11 ^ 3 x 13 ^ 3 x 17 ^ 2 x 19 ^ 2 x 23 x 29 x 31 x 37

Number of divisors: 85 100544

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jc6chan
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08 Feb 2010, 6:53 pm

40!=8.159152832E47

richie
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09 Feb 2010, 4:42 am

41!=33 452526 613163 807108 170062 053440 751665 152000 000000 = 2 ^ 38 x 3 ^ 18
x 5 ^ 9 x 7 ^ 5 x 11 ^ 3 x 13 ^ 3 x 17 ^ 2 x 19 ^ 2 x 23 x 29 x 31 x 37 x 41

Number of divisors: 204 871680

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jc6chan
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09 Feb 2010, 12:07 pm

42!=1.405006118E51

richie
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09 Feb 2010, 7:30 pm

43!=60415 263063 373835 637355 132068 513997 507264 512000 000000 = 2 ^ 39 x 3 ^
19 x 5 ^ 9 x 7 ^ 6 x 11 ^ 3 x 13 ^ 3 x 17 ^ 2 x 19 ^ 2 x 23 x 29 x 31 x 37 x
41 x 43

Number of divisors: 516 096000

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jc6chan
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12 Feb 2010, 2:33 pm

44!=2.658271575E54

richie
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12 Feb 2010, 3:25 pm

45!=119 622220 865480 194561 963161 495657 715064 383733 760000 000000 = 2 ^ 41 x
3 ^ 21 x 5 ^ 10 x 7 ^ 6 x 11 ^ 4 x 13 ^ 3 x 17 ^ 2 x 19 ^ 2 x 23 x 29 x 31 x
37 x 41 x 43

Number of divisors: 819 624960

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jc6chan
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12 Feb 2010, 3:56 pm

46!=5.50262216E57

richie
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12 Feb 2010, 5:06 pm

47!=258623 241511 168180 642964 355153 611979 969197 632389 120000 000000 = 2 ^
42 x 3 ^ 21 x 5 ^ 10 x 7 ^ 6 x 11 ^ 4 x 13 ^ 3 x 17 ^ 2 x 19 ^ 2 x 23 ^ 2 x
29 x 31 x 37 x 41 x 43 x 47

Number of divisors: 2517 419520

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jc6chan
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14 Feb 2010, 4:31 pm

48!=1.241391559E61

richie
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14 Feb 2010, 6:56 pm

49!=608 281864 034267 560872 252163 321295 376887 552831 379210 240000 000000 = 2
^ 46 x 3 ^ 22 x 5 ^ 10 x 7 ^ 8 x 11 ^ 4 x 13 ^ 3 x 17 ^ 2 x 19 ^ 2 x 23 ^ 2 x
29 x 31 x 37 x 41 x 43 x 47

Number of divisors: 3698 576640

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jc6chan
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15 Feb 2010, 10:02 am

50!=3.04140932E64

richie
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15 Feb 2010, 6:20 pm

51!=1 551118 753287 382280 224243 016469 303211 063259 720016 986112 000000
000000 = 2 ^ 47 x 3 ^ 23 x 5 ^ 12 x 7 ^ 8 x 11 ^ 4 x 13 ^ 3 x 17 ^ 3 x 19 ^ 2
x 23 ^ 2 x 29 x 31 x 37 x 41 x 43 x 47

Number of divisors: 6210 846720

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iamnotaparakeet
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17 Feb 2011, 8:28 pm

52! = 80658175170943878571660636856403766975289505440883277824000000000000

ryan93
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18 Feb 2011, 5:47 am

53! = 4.27488328 × 10^69

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iamnotaparakeet
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18 Feb 2011, 10:06 am

54! = 2.308*10^71

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