What is 138 factorial?

138! = 69177864726194884922.... It has 237 digits and 33 trailing zeros.

Calculate the factorial of 138 - Factorial Calculator

Quick Answer: 138! = 6917786472...0000
237 digits | 33 trailing zeros

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138! Result

69177864726194884922...00000000

How 138! is calculated

The number of trailing zeros in 138! is 33.
The number of digits in 138 factorial is 237.
In scientific notation: 138! ≈ 6.917786 × 10²³⁶
The factorial of 138 is calculated, through its definition, this way:
138! = 138 • 137 • 136 • 135 • 134 ... 3 • 2 • 1

Exact value of 138!

138! = 691778647261948849222819828311491035886734385827028118707676848307166514238979223884785249055995983385450621636277440066920043595627074569065446040152660143904127838730788278294186615891819670506731208704000000000000000000000000000000000

Nearby Factorials

n	n!	Digits	Trailing Zeros
133!	14872707...0000	227	32
134!	19929427...0000	229	32
135!	26904727...0000	231	33
136!	36590428...0000	233	33
137!	50128887...0000	235	33
138!	69177864...0000	237	33
139!	96157231...0000	239	33
140!	13462012...0000	242	34
141!	18981437...0000	244	34
142!	26953641...0000	246	34
143!	38543707...0000	248	34

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 138 What is the factorial of 138? What is the last digits of factorial of 138? How many trailing zeros in 138 factorial? How many digits are there in 138 factorial? Use the factorial calculator above to find the factorial of any natural between 0 and 10,000.

What is factorial?

Definition of factorial

The factorial is a quantity defined for any integer n greater than or equal to 0.

The factorial is the product of all integers less than or equal to n but greater than or equal to 1. The factorial value of 0 is, by definition, equal to 1. For negative integers, factorials are not defined. The factorial can be seen as the result of multiplying a sequence of descending natural numbers (such as 3 × 2 × 1).

The factorial symbol is the exclamation mark (!).

The factorial formula

If n is a natural number greater than or equal to 1, then

n! = n x (n - 1) x (n - 2) x (n - 3) ... 3 x 2 x 1

If n = 0, then n! = 1, by convention.

Example: 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

Shortcut to find trailing zeros in a factorial

Trailing zeros are a sequence of zeros in the decimal representation of a number, after which no other digits follow. This video shows how to find the trailing zeros of a factorial easily.

Table of factorials until 30

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!	1307674368000	#
16!	20922789888000	#
17!	355687428096000	#
18!	6402373705728000	#
19!	121645100408832000	#
20!	2432902008176640000	#
21!	51090942171709440000	#
22!	1124000727777607680000	#
23!	25852016738884976640000	#
24!	620448401733239439360000	#
25!	15511210043330985984000000	#
26!	403291461126605635584000000	#
27!	10888869450418352160768000000	#
28!	304888344611713860501504000000	#
29!	8841761993739701954543616000000	#
30!	265252859812191058636308480000000	#

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