What is 1013 factorial?

1013! = 44054306154082771936.... It has 2607 digits and 251 trailing zeros.

Calculate the factorial of 1013 - Factorial Calculator

Quick Answer: 1013! = 4405430615...0000
2,607 digits | 251 trailing zeros

Factorial Calculator Until 10,000

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1013! Result

44054306154082771936...00000000

How 1013! is calculated

The number of trailing zeros in 1013! is 251.
The number of digits in 1013 factorial is 2607.
In scientific notation: 1013! ≈ 4.405430 × 10²⁶⁰⁶
The factorial of 1013 is calculated, through its definition, this way:
1013! = 1013 • 1012 • 1011 • 1010 • 1009 ... 3 • 2 • 1

Exact value of 1013!

1013! = 440543061540827719368683076066697508632163253719825492242266626458544045024910445641147839176464486850700589952860265353571084387906361247208024228225377698162228815084076466709688145308181819730780993501125417942630536059702164189619481718315671563397296776504058718491388901012222776006926341778499676691716311551271821865407749089443404618581788334171421261630091787949905707688838831938098120549834374753004347567014377916802037977572600828877092135955245272112060773460260457548587519231332605233600548929245358815717102034333087031546207740630027280266487066985143269959735642422343862126880748947266087203001898635746850133015844042857070581024028484566794222803451810102521954608767530560114625830060333359760501615235223979772911464445725894008254976541279681774852145601040800310340140326917398496178387183833059795829605327303193841536742549693520058103512513723634739086573603399324203496912006156305476191883345122892921778209802935759598213205907659694536661869100536866174345400817550228811680568142909939973562631995271486537784083014603427670610471169109245815806238930674000280119078316348188614607698833624752733310172667441715537491069894521709315357790463828213697900874155110014112405026157245392764738930388241454507478925028171452700111611852968752369416992885120074721405587886606864614483094928582824054447808117581190878502652072415881893174072065608181697822096699745530872589398938969920067691580202389546498824227636287894519570768323483490905682985904334535744008025750150310582571754579814528287832391299837837006235420374106655913168286550513979985859407305532766720038511954314143755381022587441941253741473872562051921538869971712718384574565637701061378779263271785606855249307196895037329546565679628994479491048001477236308194399678836836107216008751776905111319055321883682450169491806321823485230340567844119811085769792231172763524763363079648239037345597155856732309092669008188498441929130347342376494035822986934769076020584247206842104477457516561058685719109541808509814004391238661331288009019320122718316141474549541694233437051613861322428365407083282368854498221210678141182781428737044081921887687442656217446632528692962339348193166611893019334407257412411933323780438292365370328496066155258425428735298297427728309063319410444194824846744416619873752153618394220330753063981557728944713134802917235097600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Nearby Factorials

n	n!	Digits	Trailing Zeros
1008!	41709473...0000	2,592	250
1009!	42084859...0000	2,595	250
1010!	42505707...0000	2,598	251
1011!	42973270...0000	2,601	251
1012!	43488949...0000	2,604	251
1013!	44054306...0000	2,607	251
1014!	44671066...0000	2,610	251
1015!	45341132...0000	2,613	252
1016!	46066590...0000	2,616	252
1017!	46849722...0000	2,619	252
1018!	47693017...0000	2,622	252

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 1013 What is the factorial of 1013? What is the last digits of factorial of 1013? How many trailing zeros in 1013 factorial? How many digits are there in 1013 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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