阶乘

1  阶乘定义

定义:正整数n的阶乘是所有小于或等于n的正整数的乘积。

n= 1 * 2 * 3 * …. * n

注意:0的阶乘被定义为:

0= 1

2  从1100整数的阶乘

简单求阶乘的可以在excel单元格里输入公式“=FACT(数字)”,即可得到相关数字的阶乘。

下面列出1到100的阶乘结果:

nn!
11
22
36
424
5120
6720
75040
840320
9362880
103628800
1139916800
12479001600
136227020800
1487178291200
151.30767E+12
162.09228E+13
173.55687E+14
186.40237E+15
191.21645E+17
202.4329E+18
215.10909E+19
221.124E+21
232.5852E+22
246.20448E+23
251.55112E+25
264.03291E+26
271.08889E+28
283.04888E+29
298.84176E+30
302.65253E+32
318.22284E+33
322.63131E+35
338.68332E+36
342.95233E+38
351.03331E+40
363.71993E+41
371.37638E+43
385.23023E+44
392.03979E+46
408.15915E+47
413.34525E+49
421.40501E+51
436.04153E+52
442.65827E+54
451.19622E+56
465.50262E+57
472.58623E+59
481.24139E+61
496.08282E+62
503.04141E+64
511.55112E+66
528.06582E+67
534.27488E+69
542.30844E+71
551.26964E+73
567.10999E+74
574.05269E+76
582.35056E+78
591.38683E+80
608.32099E+81
615.0758E+83
623.147E+85
631.98261E+87
641.26887E+89
658.24765E+90
665.44345E+92
673.64711E+94
682.48004E+96
691.71122E+98
701.1979E+100
718.5048E+101
726.1234E+103
734.4701E+105
743.3079E+107
752.4809E+109
761.8855E+111
771.4518E+113
781.1324E+115
798.9462E+116
807.1569E+118
815.7971E+120
824.7536E+122
833.9455E+124
843.3142E+126
852.8171E+128
862.4227E+130
872.1078E+132
881.8548E+134
891.6508E+136
901.4857E+138
911.352E+140
921.2438E+142
931.1568E+144
941.0874E+146
951.033E+148
969.9168E+149
979.6193E+151
989.4269E+153
999.3326E+155
1009.3326E+157

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