TIME NOW
CALENDAR
Convert
:
Life calculator
Astronomy
Length
Area
Time
Weight
Temperature
Capacity
Math
Density
Pressure
Random
IT converters
Electricity
MainFacts
Factorial n! calculator, convert
!, Factorial (10)= 3628800
What is factorial?
What is that operation? Factorial n means 1 * 2 * 3 * 4 * ... * n. It means that starting from n you multiply by every number that is once smaller than it to one. Then you stop. For example 5 factorial: 5! is equal to 1 * 2 * 3 * 4 * 5 = 120. So it is big number. Power of factorial is increasing enormously, and 100 is equal to 9.332621544E+157. They grow very fast. So it is very big distance from 5! and 100!. High level factorials end with zero every time, because it was multiplication by 5 and by 2.
Next factorial from previous differs in such way: n! = n * (n-1)!. So 6! = 6 * 5! = 6 * 120 = 720. 7! factorial will be 7 * 6! and so on. 0! is equivalent to 1. This is one exception. Factorials are used in combinatorics and probability theory mostly.
Examples and formulas:
2! + 3! is not equal to 5!. Using above formula 2! + 3! = ( 1 * 2! + 3 * 2!) = 2! ( 1 + 3) = 8
2! * 4! is not equal to 8!. In similar way as above 2! * 4! = ( 1 * 2! * 4 * 3 * 2!) = 2! * 2! ( 1 * 4 * 3 ) = 48
Factorials from 1 to 100
1
= 1
26
= 4.032914611E+26
51
= 1.551118753E+66
76
= 1.885494702E+111
2
= 2
27
= 1.088886945E+28
52
= 8.065817517E+67
77
= 1.45183092E+113
3
= 6
28
= 3.048883446E+29
53
= 4.274883284E+69
78
= 1.132428118E+115
4
= 24
29
= 8.841761994E+30
54
= 2.308436973E+71
79
= 8.946182131E+116
5
= 120
30
= 2.652528598E+32
55
= 1.269640335E+73
80
= 7.156945705E+118
6
= 720
31
= 8.222838654E+33
56
= 7.109985878E+74
81
= 5.797126021E+120
7
= 5040
32
= 2.631308369E+35
57
= 4.05269195E+76
82
= 4.753643337E+122
8
= 40320
33
= 8.683317619E+36
58
= 2.350561331E+78
83
= 3.94552397E+124
9
= 362880
34
= 2.95232799E+38
59
= 1.386831185E+80
84
= 3.314240135E+126
10
= 3628800
35
= 1.033314797E+40
60
= 8.320987113E+81
85
= 2.817104114E+128
11
= 39916800
36
= 3.719933268E+41
61
= 5.075802139E+83
86
= 2.422709538E+130
12
= 479001600
37
= 1.376375309E+43
62
= 3.146997326E+85
87
= 2.107757298E+132
13
= 6227020800
38
= 5.230226175E+44
63
= 1.982608315E+87
88
= 1.854826423E+134
14
= 8.71782912E+10
39
= 2.039788208E+46
64
= 1.268869322E+89
89
= 1.650795516E+136
15
= 1.307674368E+12
40
= 8.159152832E+47
65
= 8.247650592E+90
90
= 1.485715964E+138
16
= 2.092278989E+13
41
= 3.345252661E+49
66
= 5.443449391E+92
91
= 1.352001528E+140
17
= 3.556874281E+14
42
= 1.405006118E+51
67
= 3.647111092E+94
92
= 1.243841405E+142
18
= 6.402373706E+15
43
= 6.041526306E+52
68
= 2.480035542E+96
93
= 1.156772507E+144
19
= 1.216451004E+17
44
= 2.658271575E+54
69
= 1.711224524E+98
94
= 1.087366157E+146
20
= 2.432902008E+18
45
= 1.196222209E+56
70
= 1.197857167E+100
95
= 1.032997849E+148
21
= 5.109094217E+19
46
= 5.50262216E+57
71
= 8.504785886E+101
96
= 9.916779349E+149
22
= 1.124000728E+21
47
= 2.586232415E+59
72
= 6.123445838E+103
97
= 9.619275968E+151
23
= 2.585201674E+22
48
= 1.241391559E+61
73
= 4.470115462E+105
98
= 9.426890449E+153
24
= 6.204484017E+23
49
= 6.08281864E+62
74
= 3.307885442E+107
99
= 9.332621544E+155
25
= 1.551121004E+25
50
= 3.04140932E+64
75
= 2.480914081E+109
100
= 9.332621544E+157