What is 128 factorial?

128! = 38562048236258042173.... It has 216 digits and 31 trailing zeros.

Calculate the factorial of 128 - Factorial Calculator

Quick Answer: 128! = 3856204823...0000
216 digits | 31 trailing zeros

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128! Result

38562048236258042173...00000000

How 128! is calculated

The number of trailing zeros in 128! is 31.
The number of digits in 128 factorial is 216.
In scientific notation: 128! ≈ 3.856204 × 10²¹⁵
The factorial of 128 is calculated, through its definition, this way:
128! = 128 • 127 • 126 • 125 • 124 ... 3 • 2 • 1

Exact value of 128!

128! = 385620482362580421735677065923463640617493109590223590278828403276373402575165543560686168588507361534030051833058916347592172932262498857766114955245039357760034644709279247692495585280000000000000000000000000000000

Nearby Factorials

n	n!	Digits	Trailing Zeros
123!	12146304...0000	206	28
124!	15061417...0000	208	28
125!	18826771...0000	210	31
126!	23721732...0000	212	31
127!	30126600...0000	214	31
128!	38562048...0000	216	31
129!	49745042...0000	218	31
130!	64668554...0000	220	32
131!	84715806...0000	222	32
132!	11182486...0000	225	32
133!	14872707...0000	227	32

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 128 What is the factorial of 128? What is the last digits of factorial of 128? How many trailing zeros in 128 factorial? How many digits are there in 128 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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Trailing Zeros in Factorials

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