※「セキュリティ保護のため...」というメッセージが出る方・日本語が入力できない方へ

階乗

初めて買った電卓は四則機能しかついてなかった。平方根も付いてなかった。でも、その電卓で私は平方根はもちろんサイン・コサインやら対数やらも計算していた。その時６９の階乗を計算すると、そのあと桁が「逆転」するのがとても面白いと思った。これは計算結果の絶対値が２の128乗を越えて指数部の符号が反転するために起きる現象で、これは当時の電卓でしか見ることのできない現象であった。現代の電卓はここでエラーになってしまう。

   1=...................................................................1 (   1)
   2=...................................................................2 (   2)
   3=...................................................................6 (   3)
   4=..................................................................24 (   4)
   5=.................................................................120 (   5)
   6=.................................................................720 (   6)
   7=................................................................5040 (   7)
   8=..............................................................4,0320 (   8)
   9=.............................................................36,2880 (   9)
  10=............................................................362,8800 (  10)
  11=...........................................................3991,6800 (  11)
  12=.........................................................4,7900,1600 (  12)
  13=........................................................62,2702,0800 (  13)
  14=.......................................................871,7829,1200 (  14)
  15=....................................................1,3076,7436,8000 (  15)
  16=...................................................20,9227,8988,8000 (  16)
  17=..................................................355,6874,2809,6000 (  17)
  18=.................................................6402,3737,0572,8000 (  18)
  19=..............................................12,1645,1004,0883,2000 (  19)
  20=.............................................243,2902,0081,7664,0000 (  20)
  21=............................................5109,0942,1717,0944,0000 (  21)
  22=.........................................11,2400,0727,7776,0768,0000 (  22)
  23=........................................258,5201,6738,8849,7664,0000 (  23)
  24=.......................................6204,4840,1733,2394,3936,0000 (  24)
  25=....................................15,5112,1004,3330,9859,8400,0000 (  25)
  26=...................................403,2914,6112,6605,6355,8400,0000 (  26)
  27=................................1,0888,8694,5041,8352,1607,6800,0000 (  27)
  28=...............................30,4888,3446,1171,3860,5015,0400,0000 (  28)
  29=..............................884,1761,9937,3970,1954,5436,1600,0000 (  29)
  30=...........................2,6525,2859,8121,9105,8636,3084,8000,0000 (  30)
  31=..........................82,2283,8654,1779,2281,7725,5628,8000,0000 (  31)
  32=........................2631,3083,6933,6935,3016,7218,0121,6000,0000 (  32)
  33=......................8,6833,1761,8811,8864,9551,8194,4012,8000,0000 (  33)
  34=....................295,2327,9903,9604,1408,4761,8609,6435,2000,0000 (  34)
  35=.................1,0333,1479,6638,6144,9296,6665,1337,5232,0000,0000 (  35)
  36=................37,1993,3267,8990,1217,4679,9944,8150,8352,0000,0000 (  36)
  37=..............1376,3753,0912,2634,5046,3159,7958,1580,9024,0000,0000 (  37)
  38=............5,2302,2617,4666,0111,1760,0072,2410,0074,2912,0000,0000 (  38)
  39=..........203,9788,2081,1974,4335,8640,2817,3990,2897,3568,0000,0000 (  39)
  40=.........8159,1528,3247,8977,3434,5611,2695,9611,5894,2720,0000,0000 (  40)
  41=......33,4525,2661,3163,8071,0817,0062,0534,4075,1665,1520,0000,0000 (  41)
  42=....1405,0061,1775,2879,8985,4314,2606,2445,1156,9936,3840,0000,0000 (  42)
  43=..6,0415,2630,6337,3835,6373,5513,2068,5139,9750,7264,5120,0000,0000 (  43)
  44=265,8271,5747,8844,8768,0436,2581,1014,6158,9031,9638,5280,0000,0000 (  44)