What is 5171 factorial?

5171! = 25885293858528283195.... It has 16960 digits and 1290 trailing zeros.

Calculate the factorial of 5171 - Factorial Calculator

Quick Answer: 5171! = 2588529385...0000
16,960 digits | 1290 trailing zeros

Factorial Calculator Until 10,000

Factorial Triangular Fibonacci

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

5171! Result

25885293858528283195...00000000

How 5171! is calculated

The number of trailing zeros in 5171! is 1290.
The number of digits in 5171 factorial is 16960.
In scientific notation: 5171! ≈ 2.588529 × 10¹⁶⁹⁵⁹
The factorial of 5171 is calculated, through its definition, this way:
5171! = 5171 • 5170 • 5169 • 5168 • 5167 ... 3 • 2 • 1

Exact value of 5171!

5171! = 25885293858528283195307995759984027537364111744119932756270996187721864363006081133479908736808598634141883023198388116854494518401766705593742898986425730215908241645710780424210310109483287061197262673922323545560608627617432540577424505373248353653347895692941690856568734040971247186462719334789814844408917746825115611030773349694194968720689111567847426286648991414906816567280170452964187244113131860663484006086845861011147401593615129365526041250907719943499143165729818201120042053058258717126766750432142506058456817345735920572556812769456011767284120711736333329134649414573077962718347782828640435922976248661306159055752582697683715879069312586728856890695969710766132260061091102678031809717179871413419506010377937107893469847740410719230904286337973512652344321640930175279691751187396935177192376812459016605339084793896951945869686960904879389283434730222455099515540193536639871073796871409018815824498267348786433707615751618818242950144964146458701970353827836179763159823080236202616609484374080970516387488410974446617222022304706345090125384023377170472408227732591424203756048596694855966760204589622872198219781808209169647980631130654162511733782993100468775856321380724949735233257082181741787090972094310924561484602432303697365885381635892161700586634091840812557404329280241525028446280218498205775143733999933274846768686514407947263192702920927094257402288256669223937217807066818273507899423768940213473553807404308360801535400125996808161196390149831537953325469497828961170825071562469070751305734985207748887674929028760306507744732359162550163013508587454446951134514083287995379850652640167592808159379367965438512898892662968722057988497159736905152326997977749559505177333248356429327602021420437471538897433849947510800870668937595812978288022757936846136957221095453703720902227215154004008231304067909642917796708239604234185233636761984445357120881025804646758664703274405080276757076516019737064179528143330663579508518377361475333452010140284802852366731227152220159739622790391879312478222998182550949594877409133439772056250536227608282299997526845935539143244613396553806579609599270001258436454367753888770957222964026221021585277485047434511511063393864832707612557608488694510876295281121638998359359553466111918206480294101193581845903297280416918513493696297530051634882053456226618143113642229609551030946960758031700886010354577919996382592069973727043878619262392101123406661883057615744561069625709828227412089360457516490685013756682540907970689978977980006041336345895755061118506591398296379651929830958827635791055737944618485119052912205153003432065096160966463541157127338716604067831878185363322561421807858619808510737743788451389759508936453789350620250557370796050076017309386511099043251790132246622412032168333799799937421125398097086524238681791807361142046258552414375213047473067895446366542394545713995686796414303166362304609153965609354042345008601792540792518123504240374337979585387711753637500695093545283504777056174681253495466843126869315996785965204017428674618163291638558242618918229556482367746282463600158358107636983242350509959929894857118225805336499706790454621385356445586733454264842628523174285234554970647665990502968248857455898916388664699685130444410928508325610939030564462088624710299570846158375161532941001725035255313120145074804328143691533631758532813234551266286042020085849379809570537107021475795669754563352635492113672314533799541982604041303856737951075134663319277308581850362324574432208545689091341447828567197209717639808139693260958437649267711978377018794412699809629127041812462117276052571317889418601946099700455529656537394842937643942683320214976537270517473786061486364225114750110724733384488952342741774605758060180781983942045533943281034155784641530395076178023532943337091254042378743071912746785053774999378027567045443335537193993086695293431114999795602437069047784769857735363435938237967483265667711024371534545343662664256992309513833544104048099487213272004695006697802310276305432527207526677189726565193770143620644265033125393306309491524523653084500024862995093911900378449155604256627714738981053018765533643382737385331541719616683066707911063076605874627590643725527524369025591604112975870279469627276126051640535858426381061818879517869904984221584205729651283841865056550437096312420523239576541170745607141481339151608044322672039711444231401554330667425846549907515428448680676214672692064103797072583114116303503780947170038497417915245125935012745362409847431135431117379442163552414279070144883949882107517569774058307796374633148299586138992470104220244396612540649073967344993950757426110587407933470754817774343489376678009006167412551535372942521760410034717408880089744625924195410336438035959199494344312048075207217997744061601220503475468784114253708369572873210876667874302908213830369147648154470856153907675598424577494570000683381741277253924360473970119759471236396924166741559666098894586202094925318600530307576997676700793681194906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Nearby Factorials

n	n!	Digits	Trailing Zeros
5166!	70148844...0000	16,941	1289
5167!	36245907...0000	16,945	1289
5168!	18731885...0000	16,949	1289
5169!	96825114...0000	16,952	1289
5170!	50058584...0000	16,956	1290
5171!	25885293...0000	16,960	1290
5172!	13387873...0000	16,964	1290
5173!	69255472...0000	16,967	1290
5174!	35832781...0000	16,971	1290
5175!	18543464...0000	16,975	1292
5176!	95980971...0000	16,978	1292

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 5171 What is the factorial of 5171? What is the last digits of factorial of 5171? How many trailing zeros in 5171 factorial? How many digits are there in 5171 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: