What is 3004 factorial?

3004! = 33721976264217300960.... It has 9145 digits and 748 trailing zeros.

Calculate the factorial of 3004 - Factorial Calculator

Quick Answer: 3004! = 3372197626...0000
9,145 digits | 748 trailing zeros

Factorial Calculator Until 10,000

Factorial Triangular Fibonacci

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

3004! Result

33721976264217300960...00000000

How 3004! is calculated

The number of trailing zeros in 3004! is 748.
The number of digits in 3004 factorial is 9145.
In scientific notation: 3004! ≈ 3.372197 × 10⁹¹⁴⁴
The factorial of 3004 is calculated, through its definition, this way:
3004! = 3004 • 3003 • 3002 • 3001 • 3000 ... 3 • 2 • 1

Exact value of 3004!

3004! = 3372197626421730096034041603998667221892572109094253016311969598148374551969559816701463165591938562030940364094146208798333774042169440538937933548921784302575535992995041570498529512028799740624137129864234006953860220626151182105219003474302519544226948016754035125668308872399568367356218554167719686119743863349703093677117823937903405631394989125885025639381381367258197990870898872738117346294092652608854882404250246423159375911438934517254616530904186454765587362297224977933444106292222478758531348873007517796131998715197357005413325295367922920347393560563234827033933221446723427035298218299789120658782827296886634445997759025141911764003747725223245718996816863652431276044493182626562240322582258082908628647712317935911080311536119219402257266682226403320937518705835050386096221595777759308648490144408741654889938349991818116184124637721666248172190539588486149338188014682404888920094157674089819369670115514461733847359913231753365911267183382533860548517246962205118282149194477819011823132088792992431786402418096696572184391013715455945746240782309173548808836691171850177418113484603738838368108981975754609516091230050942518837792293196685953533866522431756473318128296106236860799140815564509020662163126826940411854011423783958615451884780887677330236527424284347272580764191558615508078014723899633124611244476576737680798179905616643032714540438393619566767567879225836762589627725812497847403670644336370057063140258286000943615477523237259453499360780739271040682337779824362955648522807195048889028147865018990223066045164822451585087207402063154037913232572848833596943580081733544311537296284811440982876940231836450406940610005671382568446460561027354823751069407644654080583070989377914694487322414943064951693000425950530383454983522055048371770210418744626944509452873162269841745711716603233908299004239400067357158510262541375647225304747215696056287813191427571868207345198626905955443473515215807762704401824487530909820222614917586668421068952763716444188073893325111303142710818247688842936706933928369692965252626662775469445923025126996858024288269306326643417859181889750056594949938389198664095536089572596331237934571079279955817523550250900573811122537728705061087242942062706698975596704735670869587964809203557529924142678449803438175198648851444806761715892053754860707311648746406481351527284742858953962927392619920896101538766878506579441092871260293933189571832656716941942397640466172686520154811993859456495090554546379107280149051202413237420733903453771546604392229152224300937740769163580661459683438537918962139607723428194101277775191108221336186346300525453318542325492534400057842965606075456692070573842212796166195402656227031607123840792641455895742383548858140219682839105641082824972138515557651388861103014177429150147420844191751523693137487645103533297352302360201380624782104778703598346438122549855555492770113326778156612421803303192560830625575229963154416187259306798608551193842645828050811992149475176006777825450136892879122929137341241676644849323645206775571388847073824357167418729392955537497126690904418091073441640715520426647721295847309099748445620773646007039844990586289189920382707491922083569826485465786213896341238884272515202018047399819386925050546764150827812712437473768237252708823519600234899936031796098648750402464555966323941083931835434030318753931958561439535001328835571150527547945057984256006885048014607863988057957983793660824853234848982647757485029457268079505896781997232432138569111629997887651634143558361629119930102298152798265164238384300924427335175839746547434441914408313627662510192697159658652941875973145885654603925784468810402707906370709047001241216429555517068274245475866096251917968118175724768021586021826001204412003823947378885841420870197886898560815986143155420899639905404458793190738458531987518869058923263885401002321483572722734654027315731969020117009649601705830787629442577037452433606033111006158761561928451096638326358592722131797735963472826852357112582991829287362210432623974360617137756275915018747709409679631666155419877074692831944963647566233246845591701445294383167356110849403410073049192107097113470563258202148139582982965629830057562896062084604366766369155868456777102538620428062112093506677465017869984496519495869256951621949224686426359423749921297529244726951981378129335252771448507586178732395319357091118786827474049073088569236372053658184916096249271131932890513888453804306720421036860225144917114413436937719411965840455946597652101383707109360410132828406926711394729578934943316307712064283720495829235568121037390265359174551037326830687370110386304588343985839861975289728503747648090128047539168774505012551136992768769165718056071544861041943669902343011312258770231947255429095226412471281678929027963308229649098682159037747784292184578454351099986496784994119484053234327431709546650217722217083745309153228272552970704306773980371938831566804779407010261574194034055919330997928687506861173422426926695646581643621938078579768656196647674104852909928133798913773774384429427829512411407730507534239210773572903594449178026645498691543850874962440938388926587498702141928947944986026477426824417109441537840449108511094349085288389412391908547132313678595265179986543860432198780790385243507956596677030103564666020214631756985083371709556305731804771525011219613731127900714341219605248059939120232056797744683653270077449074548938472967671229373840534904401371167366543295129285527256797938061676014332155994780643743480417973049281006257004038246135439646039635100202269938404508777224048303413221389562295080127136017186885704275441398332172828204421563267513431970418935540624842934795698307077672698367497209499264593988845191406503494193894817372879519551152745729531863694870192814937979831353848468957412730421725388107618091694753760035665344069277176019067319979710329333766462793525088933582813413008184889747980002039358814280127132017773402518064397886238628040281912707676753537272636604132283970828129043114417346895871533329413519519925066098876337094405409030450179073731823068343152907372582314734262050576477937905842066211019835938181942867324025132348031618381157958670393415975855030619075375613182693713356197905568617287939648040660905659208703881852537027975995190739521496987962742915324815933820113089187730133335214705921572047553256741756868299075284581872241722282989158702645610859628077058633488483792516595123591141687496273974030366637719293715959413966787799702628585141726396736576600599862889760098013869478486768847191039978834313040510574629238100528395053309289543027504531733326782451991052089145209661706541492264561883932359683370871594802565916952206113488914379254878842375305596308474159641740619771369758904812728934943408529013686922789378321361741795737458587389888422827244697633380165992292014605116829374273465593580820280237061816421928362548671542441796706809730090122726153992514416457806970461004769407453359084047761764396873885966285346547048068334264185829766820284983121420940346359534943973832381780711933822251159304838248512153344125726148239480144447015072384265465334680223560290474614126281757814415832211328937882422374109843227757086531121240364708347275351346558380143597041810728648648393034754811226671202938844211602098908678283712212431252313131210294531917555628710901476596016828105285442132134720312215468220364699357776869463290588979180475703025484429537311383085052507317882251043895845812745901497158081955088042493238526546392084954005381104490495542225058043082958811477099718942329788894759067068480505415423863047041022568973024015963603182571950169101556547431666434106193083909794961719924948015946346065181662105130378903603441076511727358676507182554611628899126462044971680126722209092192319289267357701905716482000705086762155262959874604631255160593380301684060339868466550892995809017851816918462840291154353017155210433665076566807493353701445079201133503053989853202602151415945136900938744982038020623376084703365834675338955922867382012212739647807602026319644512309985586856180344952978124190091140276209080622967817131753457534028830494660494493635626594541534246967599433593091683019833581646285891315414038205414744990775727118857763009759224934407907600642117495183187390473588949719788898478479161139180304416086199946059199640413595217044535169454971484381667247754059783486707423484695821108247403095434199040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Nearby Factorials

n	n!	Digits	Trailing Zeros
2999!	13831198...0000	9,128	745
3000!	41493596...0000	9,131	748
3001!	12452228...0000	9,135	748
3002!	37381588...0000	9,138	748
3003!	11225691...0000	9,142	748
3004!	33721976...0000	9,145	748
3005!	10133453...0000	9,149	749
3006!	30461162...0000	9,152	749
3007!	91596715...0000	9,155	749
3008!	27552291...0000	9,159	749
3009!	82904846...0000	9,162	749

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 3004 What is the factorial of 3004? What is the last digits of factorial of 3004? How many trailing zeros in 3004 factorial? How many digits are there in 3004 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: