Lets count in factorials

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richie
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24 Jan 2010, 5:33 pm

23!=25852 016738 884976 640000 = 2 ^ 19 x 3 ^ 9 x 5 ^ 4 x 7 ^ 3 x 11 ^ 2 x 13 x
17 x 19 x 23

Number of divisors: 192000

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jc6chan
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26 Jan 2010, 12:25 pm

24!=6.204484017E23

richie
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26 Jan 2010, 4:34 pm

25!=15 511210 043330 985984 000000 = 2 ^ 22 x 3 ^ 10 x 5 ^ 6 x 7 ^ 3 x 11 ^ 2 x
13 x 17 x 19 x 23

Number of divisors: 340032

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richie
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30 Jan 2010, 6:55 pm

26!=26x25x24x23x22x21x20x19x18x17x16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1=
403 291461 126605 635584 000000 = 2 ^ 23 x 3 ^ 10 x 5 ^ 6 x 7 ^ 3 x 11 ^ 2 x
13 ^ 2 x 17 x 19 x 23

Number of divisors: 532224

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jc6chan
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02 Feb 2010, 12:47 pm

27!=1.088886945E28

richie
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02 Feb 2010, 6:37 pm

28!=28x27x26x25x24x23x22x21x20x19x18x17x16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1=
304888 344611 713860 501504 000000 = 2 ^ 25 x 3 ^ 13 x 5 ^ 6 x 7 ^ 4 x 11 ^ 2
x 13 ^ 2 x 17 x 19 x 23

Number of divisors: 917280

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jc6chan
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03 Feb 2010, 10:12 am

29!=8.841761994E30

richie
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03 Feb 2010, 5:42 pm

30!=30x29x28x27x26x25x24x23x22x21x20x19x18x17x16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1=
265 252859 812191 058636 308480 000000 = 2 ^ 26 x 3 ^ 14 x 5 ^ 7 x 7 ^ 4 x 11
^ 2 x 13 ^ 2 x 17 x 19 x 23 x 29

Number of divisors: 2 332800

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jc6chan
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03 Feb 2010, 9:01 pm

31!=8.222838654E33

richie
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04 Feb 2010, 7:10 pm

32!=32x31!=263130 836933 693530 167218 012160 000000 = 2 ^ 31 x 3 ^ 14 x 5 ^ 7 x 7 ^ 4 x
11 ^ 2 x 13 ^ 2 x 17 x 19 x 23 x 29 x 31

Number of divisors: 5 529600

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jc6chan
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05 Feb 2010, 8:19 pm

33!=8.683317619E36

Dylan14
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05 Feb 2010, 9:35 pm

34!=295 232799 039604 140847 618609 643520 000000

richie
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06 Feb 2010, 6:34 pm

35!=10333 147966 386144 929666 651337 523200 000000 = 2 ^ 32 x 3 ^ 15 x 5 ^ 8 x 7
^ 5 x 11 ^ 3 x 13 ^ 2 x 17 ^ 2 x 19 x 23 x 29 x 31

Number of divisors: 16 422912

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jc6chan
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06 Feb 2010, 8:04 pm

36!=3.719933268E41

richie
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06 Feb 2010, 8:32 pm

37!=13 763753 091226 345046 315979 581580 902400 000000 = 2 ^ 34 x 3 ^ 17 x 5 ^ 8
x 7 ^ 5 x 11 ^ 3 x 13 ^ 2 x 17 ^ 2 x 19 x 23 x 29 x 31 x 37

Number of divisors: 39 191040

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jc6chan
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07 Feb 2010, 8:44 pm

38!=5.230226175E44

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