File:N! v !n.svg

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Summary

Description
English: Semi-log plot of n factorial (n!), n subfactorial (!n) and nth power of 10 versus n between 0 and 30.
Source Own work
Author Cmglee
n n factorial (permutation), n! n subfactorial (derangement), !n
0 1 =1×100 1 =1×100
1 1 =1×100 0 = 0
2 2 =2×100 1 =1×100
3 6 =6×100 2 =2×100
4 24 =2.4×101 9 =9×100
5 120 =1.20×102 44 =4.4×101
6 720 =7.20×102 265 =2.65×102
7 5 040 ≈5.04×103 1 854 ≈1.85×103
8 40 320 ≈4.03×104 14 833 ≈1.48×104
9 362 880 ≈3.63×105 133 496 ≈1.33×105
10 3 628 800 ≈3.63×106 1 334 961 ≈1.33×106
11 39 916 800 ≈3.99×107 14 684 570 ≈1.47×107
12 479 001 600 ≈4.79×108 176 214 841 ≈1.76×108
13 6 227 020 800 ≈6.23×109 2 290 792 932 ≈2.29×109
14 87 178 291 200 ≈8.72×1010 32 071 101 049 ≈3.21×1010
15 1 307 674 368 000 ≈1.31×1012 481 066 515 734 ≈4.81×1011
16 20 922 789 888 000 ≈2.09×1013 7 697 064 251 745 ≈7.70×1012
17 355 687 428 096 000 ≈3.56×1014 130 850 092 279 664 ≈1.31×1014
18 6 402 373 705 728 000 ≈6.40×1015 2 355 301 661 033 953 ≈2.36×1015
19 121 645 100 408 832 000 ≈1.22×1017 44 750 731 559 645 106 ≈4.48×1016
20 2 432 902 008 176 640 000 ≈2.43×1018 895 014 631 192 902 121 ≈8.95×1017
21 51 090 942 171 709 440 000 ≈5.11×1019 18 795 307 255 050 944 540 ≈1.88×1019
22 1 124 000 727 777 607 680 000 ≈1.12×1021 413 496 759 611 120 779 881 ≈4.13×1020
23 25 852 016 738 884 976 640 000 ≈2.59×1022 9 510 425 471 055 777 937 262 ≈9.51×1021
24 620 448 401 733 239 439 360 000 ≈6.20×1023 228 250 211 305 338 670 494 289 ≈2.28×1023
25 15 511 210 043 330 985 984 000 000 ≈1.55×1025 5 706 255 282 633 466 762 357 224 ≈5.71×1024
26 403 291 461 126 605 635 584 000 000 ≈4.03×1026 148 362 637 348 470 135 821 287 825 ≈1.48×1026
27 10 888 869 450 418 352 160 768 000 000 ≈1.09×1028 4 005 791 208 408 693 667 174 771 274 ≈4.01×1027
28 304 888 344 611 713 860 501 504 000 000 ≈3.05×1029 112 162 153 835 443 422 680 893 595 673 ≈1.12×1029
29 8 841 761 993 739 701 954 543 616 000 000 ≈8.84×1030 3 252 702 461 227 859 257 745 914 274 516 ≈3.25×1030
30 265 252 859 812 191 058 636 308 480 000 000 ≈2.65×1032 97 581 073 836 835 777 732 377 428 235 481 ≈9.76×1031

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Date/TimeThumbnailDimensionsUserComment
current19:57, 17 May 2012Thumbnail for version as of 19:57, 17 May 2012512 × 512 (45 KB)CmgleeUpdate y major ticks to match digit grouping in table, plus some cosmetic change.
01:03, 17 May 2012Thumbnail for version as of 01:03, 17 May 2012512 × 512 (43 KB)Cmglee{{Information |Description ={{en|1=Semi-log plot of n factorial (n!), n subfactorial (!n) and nth power of 10 versus n between 0 and 30. }} |Source ={{own}} |Author =Cmglee |Date = |Permission = |other_v...
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