What is 3100 factorial?

3100! = 11301587240703339838.... It has 9480 digits and 772 trailing zeros.

Calculate the factorial of 3100 - Factorial Calculator

Quick Answer: 3100! = 1130158724...0000
9,480 digits | 772 trailing zeros

Factorial Calculator Until 10,000

Factorial Triangular Fibonacci

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

3100! Result

11301587240703339838...00000000

How 3100! is calculated

The number of trailing zeros in 3100! is 772.
The number of digits in 3100 factorial is 9480.
In scientific notation: 3100! ≈ 1.130158 × 10⁹⁴⁷⁹
The factorial of 3100 is calculated, through its definition, this way:
3100! = 3100 • 3099 • 3098 • 3097 • 3096 ... 3 • 2 • 1

Exact value of 3100!

3100! = 113015872407033398381120937930974330397960244730932516498651915533674528989615976693289137184439940339287443172306557457754037535868155683469437059685837928833369352531480410608916041043224806669852039770617136213212677497935610176865123580657966518858446431376972514755274426825806303485775206658194978442472782515591803805036231615459105714876550296965387916558217599418449661273139277309325801401475439214594593366061303134974623108418846290331458627875742772799689693846485724587004337467169645555093186657180271839073460646726967649795586555554663733491717720971651243807012609930963577939186207296816247329441976420121836699793571377656906595756763733557577201471035406691596908137894726166485325846756861249667878111915617287591685150209654265661962395993658421733465675357568456485280171206610992860680306140681096054586317297234864823595664805474092857993851137155138960733283853989350536358800686417105320690286295342036796716005883322811129358470863686582767781968163965689071959052945129534605688642211025749666709130875869464096873413855590785917069920639073511477583041583891577183288029999526392830949064947522918802721942158960749409298117426795864368782387725476951975161746486156630423170895421249302465170666542298573644551438340418556355134125678174691238887983375544024978544457425213931516810275042709405031290799138594267592200918906952836808586446965178132365103406308004994128392823887762929849274797992629890477561730357840590385420430129649563770989689639462915790883698423322818355968821037713522534617307177557794727237123449325297006015978754018970628518543503338756959631221050514520061262800021873698903728052100150566126409778166946654446692435522337329549240233724160317418552701376501400349043379330378054143570484705182653801221464916475891558107594897681642286089808889157355382620342281191685800785253012886928934089433277523874860284650542855034047716374927895448657575010788695180157159736975419949849095395024024228175872245091119258792289720931884786732056097373660180347515523251749318030716785663248166565706958332456052908122505653142124530517647004896978457031007367148892137457187822983281798671432813144875127858740213029458312905590778832598690595332810214957824309110232200393590601879426892914830900068195194239461825820396523908677885985223681001020094332158320648006288597584679625410180894369021776437380513469288086636121378822479083905663479644617898538264682980097224207593970206308583680549141070342720120986638990900883995889782846740108934324054781413331992679871634940228706577351458167134770277135948804295517074697701581010175028003006107077659557711681535791906670759103080665617609260653390060387995624894123050965488008404070115563695505427334986528077706444506087200961684163476562528006339690547254988040576952167345809673093341891958447147108740926181989683831787223587422433068027202098891421612969459014833730581446570116607421386102637898194552643483215100771605907943642030319749915544172188763716321235015022962829057420130109976240627786971603079363013884816975944836933210917507040992783902708554709465326965537411746317908415637403213405563132153742833017460112710952920368544958918631260621810183132576329249908382566729278101498189502700192556463121744091497513516716114034518085809411877850961179135178213083104407217915436115074697698588990660538343663500704938143014616820751524031292945917763166489758352114424998974611049253170748998181387485065163498245256603073424298482664783962527057367697360117220148749858382343561998077069915910862703333662854648820018222205947230766605199661096516324195050392589266515906966109216304369831651664086556122659552198745596597251112010231448709905419294642705542487315568004585066410025150222210004154574725126441646121906672193403743043927114469328995002885776223133126224290183173339044476198797794250393216262195518680810763914960840936227947129196912920806629662905075241970143027885370221403352535984049703043560176376797782587901403187546331313177713033409165386033043763679329453854972475126944510139084473833272648211571775680936842860946354620706594491710240626817879228771391172395915136892426309259028947637965696353764923677911863917189705210424188355517176949708549453285693790467201442994616210145021329610707319274547215624559959964537794483343061747207573031041670721115989363917333157452170034054056368145231940458451428679063680815735043764908123734484372368825410926543018076171107287951133990801826059181852459529833568647239072179530455845021877163017188427571599689955046597320694382556813626161058371835755205813983813159108015340526913339145998818919315918113378232446349693515339756595712251694475493405636164343646517290110499532755119641369758951343075844165007631471136444514766285834550102816218270889602254339102025751925880485293981463384540564126691464103283944591809465479929655218502729618846831761667058758676358885427425219666435839706458861522196581421742202790133679364687310180635794391047032583181022327317088838226567789527521260244648125313895882633238488214410469552380561386410623840127222186567324192160062761730362200140786115202298453325549088880897219612199938989037391963565554788804723707571734350812691953721652733878090732154359178179496257302821709372130448872120591394637546053410764511659755221785470801575805006833665636567808710425451853675467309281690820048883752768082016479383647123447834433590214289015436525318508964800532664888756516308330716691925196134571347239053976115983659130917511248746232060960265859577841974750086087815668713453307084416396631947024512892542944470050076384290578115819422691466902384244676850948429437318264893515831114591214223686552103227054291046987259262443582651272558723155635639649587223672198842591659169434618699562098571818432592287640312254623415139162069649160347448674761510517475569492298872921415672405009685672736756119962381272961252158786782232971545664774428477929884847680847649602787667290563113224097073886722348892154405199593322964448232878617615282229403517792450142055116355747624740524672441276051743233778304154161206064853548971726696284979043185727925057134558639484689496155634391627510824789833838079245928538063771770075045202906099766610779698857432801248902753198474709097931601240648960083130996160446930507459826804000019290639850369514732925312422450064938439996849014656372405090144283567744682859481128545775047714209194962204000051096548457113229918037760873428995191195376223295754228533569636024315922159359779536646273530934246472057015123249786454180838237733487956512309591404008694426985606751365992341455987780021628811579429705801410879489541813304268411628730010160491608838836191733498359692669304629881124396497542315148664638194404840850855654499989839002462203981102580487958710316096127734139509382447475308929244774841374892549851913263098898692789155201667999211316912022957754243129680689471162023032296735215054637643120837014697103378668475066535248559356474718151862719608506301874126098239484864991698354458145968598480051747290090437649576639093019213634905978669727148059334045499433027359999493868319707977280884069184644779054545501197875414519065258514208020984089715192770117204591906427334033698163943215533201766362984350078609045154123727606574388206878949777403998765811403939128043953001676570455095061316344697036030479463756561996609742921427786148193946871800375347885885677083132436803066222689178451322997131996355516188786775174863435322529580484626181968663910643095953106938515627016441237097725039957623377575418953625103957681674364505168897601236023885157214582545557550176364005347831473389048039963461535672213131347247333038672813336061046654401140676197953695807819563625990768143731547304896925175987840627429525867331975293949813364518070170354224803947414680688608891954601233169806002539641966637349148825300352240433366282426288924364300358991354571214306912506067509899191930214893052734787888965707406088602414430468319407738924003700024121528039866760665177545667065977365762334539060157962168168032706461927072607278803748849843292926054101962426817276611717195890797554995929256573450648418420780496767674016436518685441874368184106351752738749669159291468050149836605927696085290942422229973342205023184006797639214683723081680670106363187703722328028685647182604582343775314248468144990807441103494833404737809846112690449661985602043240684656190472973924149053721866590639960295919524051392495123647460955282420079708841824581825392085861574835090560733353983777548732609682031713762277261651942115646684056602820188797726582065596016570164928378182193564384758293032849114322168766911486990840369476608909377711627495266628060404072418423250505187416480487487247762285798623954817133500107325440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Nearby Factorials

n	n!	Digits	Trailing Zeros
3095!	39603411...0000	9,462	770
3096!	12261216...0000	9,466	770
3097!	37972986...0000	9,469	770
3098!	11764031...0000	9,473	770
3099!	36456733...0000	9,476	770
3100!	11301587...0000	9,480	772
3101!	35046222...0000	9,483	772
3102!	10871338...0000	9,487	772
3103!	33733762...0000	9,490	772
3104!	10470959...0000	9,494	772
3105!	32512329...0000	9,497	773

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 3100 What is the factorial of 3100? What is the last digits of factorial of 3100? How many trailing zeros in 3100 factorial? How many digits are there in 3100 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	#

Factorial Calculator

Please link to this page! Just right click on the above image, choose copy link address, then past it in your HTML.

Popular Factorial Calculations

Top factorial calculations based on search data:

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: