Calculate the factorial of 38 - Factorial Calculator

Quick Answer: 38! = 5230226174...0000
45 digits | 8 trailing zeros

Factorial Calculator Until 10,000

38! Result
52302261746660111176...00000000

How 38! is calculated

  • The number of trailing zeros in 38! is 8.
  • The number of digits in 38 factorial is 45.
  • The factorial of 38 is calculated, through its definition, this way:
  • 38! = 38 • 37 • 36 • 35 • 34 ... 3 • 2 • 1

Exact value of 38!

  • 38! = 523022617466601111760007224100074291200000000

Nearby Factorials

n n! Digits Trailing Zeros
33! 86833176...0000 37 7
34! 29523279...0000 39 7
35! 10333147...0000 41 8
36! 37199332...0000 42 8
37! 13763753...0000 44 8
38! 52302261...0000 45 8
39! 20397882...0000 47 8
40! 81591528...0000 48 9
41! 33452526...0000 50 9
42! 14050061...0000 52 9
43! 60415263...0000 53 9

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 38 What is the factorial of 38? What is the last digits of factorial of 38? How many trailing zeros in 38 factorial? How many digits are there in 38 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 #

Frequently Asked Questions

What is 38 factorial?

38! = 52302261746660111176.... It has 45 digits and 8 trailing zeros.

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