What is 5002 factorial?

5002! = 10577788529119352441.... It has 16334 digits and 1249 trailing zeros.

Calculate the factorial of 5002 - Factorial Calculator

Quick Answer: 5002! = 1057778852...0000
16,334 digits | 1249 trailing zeros

Factorial Calculator Until 10,000

Factorial Triangular Fibonacci

Enter a natural number (0 - 10,000):

5002! Result

10577788529119352441...00000000

How 5002! is calculated

The number of trailing zeros in 5002! is 1249.
The number of digits in 5002 factorial is 16334.
In scientific notation: 5002! ≈ 1.057778 × 10¹⁶³³³
The factorial of 5002 is calculated, through its definition, this way:
5002! = 5002 • 5001 • 5000 • 4999 • 4998 ... 3 • 2 • 1

Exact value of 5002!

5002! = 10577788529119352441894666537097151436801933944735891767577080449013147605120943205649924106430883102765295001180186996103002122071506770896710080318214807014202921249068815706543159182966831870436080141189815128293722787515078603804435236273587291514603591872364554524236827582219628742544252283253369713682116812476937496167581413692419364545104394467397969604656828679547589350444193281730993770215151805555388076574233761667023846303259791435517711883613566486831791609405427263182570294336707114055576796918317420173571087197381766917152044320775858684145143444539223400178881130216729145988384515373996981832429515818748219980827642599493681430698210974011771546599953690577471972311684191950565018684445524798036125132062132548266220829807304993580824710096044728842928902807092927440105953020760061269092061398935063804312342415379152316950256211189097462732425289613847613412926809463168485102537203513962485651965111196475559585478326057322525702625070998241934747439727654151151294406105971184158228973508222864738774200989988831308636894911190756647161689058104916224841149906316976685673269213983516907705679191918371414573186183783457665382781570478990297343295629056270668837892663761109984930908666834941584734005822089446721996434152699579693811399679651389794448017899718293802033315658253851743197437718309828814055302333382638878155873037382626876048727783242834766631959995195131597101792616460920704384105728668240716427437888367417234550721788515917015693418711344956838371716317718905536732650459932228573239777559190325920591217707739894114861332641664941955728250210629795067289888765164049112722063835522443694881954829379130123769310537248979842535162602175764769122912976471926087847737199792671201906689904402979623936839484739741818211098882279415074149530699828005897054766673849889751996834005045134171605935806752756287273227045394178512571927912682691129338336986507388925577444240209859362899794488447070596709053856047289945648715201188199738086521954277941419214866262342442032308233938256569096922475049397243902989215301681482189078058030873832167174549851267922886441396874884162208269615905637800061237617524377444851544572314169844886834101329784536858962752377913852348771474647261012691486518126314734458451396780794809855183504334770827303203614536047366219049589811778194254218786677616050675609029693534976648899857331222468660283493118065338224425559944077616016226208027583332330599527107901012471835756379324187099997285203232430894300258201665169340758180142054548527919222877401057269176483597019142675238600508848629661496140479877231167913388865735429841066623891717091256881331842779181190118566260815268313454512042276680686771746240050140244797786277632201329744327425674266351182746641062126015050806760769573909300199931107724311688639176269217209144653071784439560066865631908915037788199925170947100851847802980985680001833670401294912368613380456193399901321832055068386005080581815121515143411986411049102935651773704418453581366942700973300866502247931618937573311206680752889145198803663436594783988951430131635646354602342664218067652393990470687387027228642787353078742216805029239663348256896334878194292969855160409957142707324306920996121596957723729795124121655994494442294018480784407366099539562410600892198933259893982781764927110721267772744683425231506240147797319226558440497123347726528033137323501485045102827670143451936658265474243049737781636716830778679144279139872466960348720131380455293542157168161395926952905003602975701429969058395986954449419828731908208725940449315671953177252562687416504805124602413095638028035203679115939949437092342710613620501772156221283741548248697913377652225017825238286007690565697663918684908506587737256729831043733418347636204905613930094847606753393205610757634923329622146313386660553546860467388905213494809632105924605359604243330826100350703239852739754531543800537743554123625658305924953446664980240775336762271656646171695868423706251132407061621023415696481081376488845348470184615073332873612792212861408175514540963991017215645814004360118246720505687256611181839382539082059422005649117234532143545806357380607020131528536173160168321835025045950747684697014646796977255446513020431670719120256438556333247667121876084679129364385361769918931296747817377039934879178017315975463762533925508324048801318183425864784480781670453529377440794733315115061229731108399407897478834964557953589359107075832641278524209409282956351000499358243153917057575226524437233015107225512463075542377504993663366773731775279667056680725776119424086738482377663215680921847707849654448359968529312338606364166912536581308010440692943518600054600435870627922269948984190535084118631251683262544925538104849204569937600959161798512039787343155109705064019045165829928233817224353338907284512603773412932354903799992177168005241041249874056919828475578830231671915999945541329277134344311360757562719015513324423588250322098764021388257446742052671364970839659508585861443812522973086391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Nearby Factorials

n	n!	Digits	Trailing Zeros
4997!	33848930...0000	16,315	1245
4998!	16917695...0000	16,319	1245
4999!	84571558...0000	16,322	1245
5000!	42285779...0000	16,326	1249
5001!	21147118...0000	16,330	1249
5002!	10577788...0000	16,334	1249
5003!	52920676...0000	16,337	1249
5004!	26481506...0000	16,341	1249
5005!	13253993...0000	16,345	1250
5006!	66349493...0000	16,348	1250
5007!	33221191...0000	16,352	1250

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 5002 What is the factorial of 5002? What is the last digits of factorial of 5002? How many trailing zeros in 5002 factorial? How many digits are there in 5002 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

Find how many trailing zeros are in n! using Legendre's formula:

Digits in Factorials

Find how many digits are in n! using Stirling's approximation: