What is the factorial of 2004? (2004!) 2004 Factorial

What is the factorial of 2004?

Here we will show you how to calculate the factorial of 2004 (aka 2004 factorial) and give you the approximate scientific notation answer and the exact answer.

Before we begin, note that the factorial of 2004 can be written as 2004 followed by an exclamation mark like this: 2004!

Factorial of 2004 means that you multiply 2004 by every number below it. Therefore, you calculate the factorial of 2004 by multiplying 2004 by 2003, then by 2002, and so on all the way down to 1. In other words, we calculate 2004 × 2003 × 2002 × ... × 1 to get 2004 factorial.

The answer to 2004 factorial (2004!) contains 5749 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 2004 factorial:

5.3326168096 × 10⁵⁷⁴⁸

The answer above is also sometimes written as 5.3326168096e+5748. Regardless, it means that the approximate answer to 2004! is 53326168096 followed by 5738 more digits.

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Like we promised, below is the exact answer to 2004 factorial (2004!) with all 5749 digits:

53326168096826225454036229430068118719691959667780551177544540085555381537057207127413462502417500895436783993786881346868181309403430381600715021254781168375580435894484551009037121328572881506702977645341905291678381327866256169008564885167085554793364252803140547501351759171141922076231389952273925513515763595426878429205911312988827463852382059320826298067300225446567438174276647352081992711946634182850652436869101603437061690702163698248582862103097584368229093601788892996891654550481983420247576527278391079442294204327449920002576963679658303151990563727033420569393904680124305286353759444200281276820404246616253387888668154244815227432086689139331163189108077988994701860080282545275057089209998952640610355310546522848050975201164906680554050012922653627612933108563922178412898279624261026525644528985679049552630148682774501394177479572658305228410004167564906907620413666928776290463542456267651199003466479235482492237648281328729102991240951994228906396392942298026006803749389992633707657959149921840245215265783104346954949789214466024488173706967675428126306299282159841385291270737326768164359930000858370891213028584602045904449934311224284503179508477641689601465284852072640285375663712718141225902881247986947476536308095136782688496478253587218175519777816109325727330163348406802708889738920740681705045708832761392184155451191800791092255644902394166340840524435273109366820542140255613033217137713385932372666012225086497861475549486077055411178633621307792569676033802858209856500582996582130176197219507765111002608738279928852527688596097077938269651184973705911555150968587294366654210524192409449985803433059461182360884913696094604277176487786662824493042304086893712691342481623798736649355134283466431748170915804829215574754924364654185298102633047373410004879188906898397655070639520401858790670165699584706868038835411304740979573636107619439356024946119028548002404398351841110844701168128515018617277944303530122231331894538631893579467747229028905868185324168140227812201145904334333744833551371693391325514336461069464786406685286839150873011410352648451553651378299337124639664818804203513181924645922889808822192362927220310455611145374590772177730494052155595534518040567867449540531352203002771079747186252890711444170249215987824997407276276018027529713942017061248294480880591329713278271086091879250712961325051102764668207674041900794717649128958332578681976846532837147357858371662496502867807440012179810203449312862299928140354063575384312307717211281706226087430067933717131670674432738113076223653918134552286392482144962144707516125079910324161864128000868515716747201574536248059600654449435375549253652156774380792796291615222927182889331164253197472411261571143443954315297489233217308232889635816100413911348224989396781579612263633790885725110163558485861105946726552199388685101673176749671529020820169592688575862981971012556362565845320249522653991136424079745823126538191877918959022032716102413344898448380654942859908365423847865176844767534687321133890674943043157092393299479405894654780204081225790563890426730165905367012118825679484498567141165147892151253018624645824223684556290319474373678980664547851321334383797789280730639993275841224403324593148735972062412417978438904707796142476339591746891648237296332863490745379226324637264668605586326721571267966274945135790443571824133576200701042984904334613456017250546133005967093959816678250913042727235875649507858546859428573601045094578079882080691492756605505532596388426543777897399890734007347505864603497916271427701436906750105130014470361855217989656090427707913822675289917433505053435693855732424659982771342898521997793805923476103973798710573287340573426405095903418151570064389104949071475447780453005413475498027372052697047849066879837609851558368742856750471447862868792376020342255107006358125819274548381857742165964365512408808118224688864291316088633410415695107731421937307375198641123245083079034003533686669913930813034064223700883192423771417666806850268979813463154242848840973461951351075234792483359279037754465035483754169397204711655245540851460519072078517938091635672122065264321540904747542245795344871444279101346773269423393814558809017434371809935794621310902447126232941945415818827379182564718090066462887660253280776219962682616930110141211155417437243915237939307659407730845395584698990088520960949192459573088505283500415450404730353088628352225814459702763363014789256624419123115632835059740710000432781766644709536195449670274977705822877014500097419343959135698448197040244334006363683142354234853858591770766694703340478797532090075735842515099126382372948428741408258614479393055882919394225004653855419536666805797398800366936608042517215043154433551778176254576438383036716699276707635138302242400789901163209352834706198036975447723341065537554220021585592934646076581653101951890186457574357655316842882118540477150654384849007874030633623546380705506341519657738954197551643779347384516580813599167671413852077564748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