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1到100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:
n | n! |
1 | 1 |
2 | 2 |
3 | 6 |
4 | 24 |
5 | 120 |
6 | 720 |
7 | 5040 |
8 | 40320 |
9 | 362880 |
10 | 3628800 |
11 | 39916800 |
12 | 479001600 |
13 | 6227020800 |
14 | 87178291200 |
15 | 1.30767E+12 |
16 | 2.09228E+13 |
17 | 3.55687E+14 |
18 | 6.40237E+15 |
19 | 1.21645E+17 |
20 | 2.4329E+18 |
21 | 5.10909E+19 |
22 | 1.124E+21 |
23 | 2.5852E+22 |
24 | 6.20448E+23 |
25 | 1.55112E+25 |
26 | 4.03291E+26 |
27 | 1.08889E+28 |
28 | 3.04888E+29 |
29 | 8.84176E+30 |
30 | 2.65253E+32 |
31 | 8.22284E+33 |
32 | 2.63131E+35 |
33 | 8.68332E+36 |
34 | 2.95233E+38 |
35 | 1.03331E+40 |
36 | 3.71993E+41 |
37 | 1.37638E+43 |
38 | 5.23023E+44 |
39 | 2.03979E+46 |
40 | 8.15915E+47 |
41 | 3.34525E+49 |
42 | 1.40501E+51 |
43 | 6.04153E+52 |
44 | 2.65827E+54 |
45 | 1.19622E+56 |
46 | 5.50262E+57 |
47 | 2.58623E+59 |
48 | 1.24139E+61 |
49 | 6.08282E+62 |
50 | 3.04141E+64 |
51 | 1.55112E+66 |
52 | 8.06582E+67 |
53 | 4.27488E+69 |
54 | 2.30844E+71 |
55 | 1.26964E+73 |
56 | 7.10999E+74 |
57 | 4.05269E+76 |
58 | 2.35056E+78 |
59 | 1.38683E+80 |
60 | 8.32099E+81 |
61 | 5.0758E+83 |
62 | 3.147E+85 |
63 | 1.98261E+87 |
64 | 1.26887E+89 |
65 | 8.24765E+90 |
66 | 5.44345E+92 |
67 | 3.64711E+94 |
68 | 2.48004E+96 |
69 | 1.71122E+98 |
70 | 1.1979E+100 |
71 | 8.5048E+101 |
72 | 6.1234E+103 |
73 | 4.4701E+105 |
74 | 3.3079E+107 |
75 | 2.4809E+109 |
76 | 1.8855E+111 |
77 | 1.4518E+113 |
78 | 1.1324E+115 |
79 | 8.9462E+116 |
80 | 7.1569E+118 |
81 | 5.7971E+120 |
82 | 4.7536E+122 |
83 | 3.9455E+124 |
84 | 3.3142E+126 |
85 | 2.8171E+128 |
86 | 2.4227E+130 |
87 | 2.1078E+132 |
88 | 1.8548E+134 |
89 | 1.6508E+136 |
90 | 1.4857E+138 |
91 | 1.352E+140 |
92 | 1.2438E+142 |
93 | 1.1568E+144 |
94 | 1.0874E+146 |
95 | 1.033E+148 |
96 | 9.9168E+149 |
97 | 9.6193E+151 |
98 | 9.4269E+153 |
99 | 9.3326E+155 |
100 | 9.3326E+157 |