階乗

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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)
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