What is the factorial of 5003? (5003!) 5003 Factorial

What is the factorial of 5003?

Here we will show you how to calculate the factorial of 5003 (aka 5003 factorial) and give you the approximate scientific notation answer and the exact answer.

Before we begin, note that the factorial of 5003 can be written as 5003 followed by an exclamation mark like this: 5003!

Factorial of 5003 means that you multiply 5003 by every number below it. Therefore, you calculate the factorial of 5003 by multiplying 5003 by 5002, then by 5001, and so on all the way down to 1. In other words, we calculate 5003 × 5002 × 5001 × ... × 1 to get 5003 factorial.

The answer to 5003 factorial (5003!) contains 16337 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 5003 factorial:

5.2920676011 × 10¹⁶³³⁶

The answer above is also sometimes written as 5.2920676011e+16336. Regardless, it means that the approximate answer to 5003! is 52920676011 followed by 16326 more digits.

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Like we promised, below is the exact answer to 5003 factorial (5003!) with all 16337 digits:

52920676011184120266799016685097048638320075525513666513188133486412777468420078857866570304473708163134770890904475541503319616723748374796240531832028679492057215009091284979835425392383059847791708946372645086853495105937938254833589487076757219447561770137439866284756848393844802598948894173116608677551630412822118293326409812703174080819157285520392041932098113883776589520272298988500161832386404483193606547100891509620120303055208736551895112553718673133619453421855352597702399182566545691620050714982342053128376149248500979886511677736841620996778152653029734671094942294474295917379887730416106900107644867641197344564080695925266888197783149502980893047639568313959092277475356012328676788478280960564574734035706849138975902811525946882884866024610511778401173300743885915982850082962862586529267583178872124212974649104141899041702131824579054606050323723938079609904872827744231930967993629180354315716781451315967224606148065264784596090233230204204399541440957453718209925913748173834343619554461638992288087327552914123037110385240687355505749930357698895872880272981303834358423365877559535089251512997167612187109650477468638699910056197106388457608508032168522156195976996796833254609336060175212748424231127913501950148160065955997208138432597295903141623433552290623891572678238244020271216780904704073556718677573913342307413832806025282260871785099563902337459695855961243380300268460153986284033680960527208304286471755502188424457261107945132829514173812858819062373696737547684400273450251040939551918607128629200580717862191822690256651247206249704604508435803780864721651313492115737710948485369118785805494420011383788009217860617856646152203418498685351139921933621289046217502229210562734023139169591728107058556007942152928316510127708043913615970102091239513502964997669270998429240160527240806260544496841184039705227954908107075098397355347151503720079699943496466794663953533769926392587671825700694195335396441804591598080522151544563289646869337252540920331975910499237487638094393097615191903142672134411246655044154312455391957524328461782332374272905893418200866308565045463527972888375905913706371800474460356592277495287791733968831008952912037905390650146703003300903687660246846495507050185952616495632338094316433705483072186858448997927683523844973193905097828326305853856589748113101530071975556755488174445986228106010707398316069680887136801076400220312929179718761999411649989434120828765396594289165758908061286417871771851764184191782930842211813175250698906285179872055637489517689947435886770804218718345769694196465190820825787533070684495274355494856319330260607558177303209424243494163187002858787372212923747510233475919046438970851644723324746993903252710870110648354554967281445233816453299186224130178268228900255331944731378261798874893697350699318137551119014528756440301934054364225630248345561794558313871357049173853017678446580172742422335579706313125771507135183418150821052940262490168014478661987065823843205523267578814332969424235110746401889544679275967023806704393429614728173283704296724004948573138712075520349082992464927134324848997297224899865127452947310675561286035731329252363395606047728185367531015584964743507525743596349579491820165005980644940455694796974459364390052595996430740236263671263099249595857169930334938502667041651176433225719459429988090471877807108108675819749786029477929680649446833727690039101302167637977838121528494304385731758828536781952202624646817296417833591412312311463822545383733025687434254135199155122733110447403145736768255880067926306781745794571125144773540038385872717477054260124006617047567033772990581199943370366097575082558965888235660628394081764179667144896475900185412585180597258458449495419344711798291993223933142786492264522576587226207670620447521418099598005873462749394942918346692783114532589425940800614100029384122980054568308983256991921313634090331001280499168504542542093664896144599009821645098200796994429723802374415432529289980148729494850126573693278396333629211884366684799440945625102099248442847059129876007463813671588342689953344825742742430843027543288294262533524364314159669205975176921718037266474320322114140630304891590666539164277925277208998904641219648607758642962097335238078610746051649684210019964934904413277629330337330794200527620631825245203957229318145216152994871679601516757350697279007475336296050775520651332344735322237711086611327683441807563612700390704316456619674642630624055498289290499047039048858301759476774581449238852766938514657483297823968980071724174284573671057925478705952627335449068051652004082371821205144922552149630047639927063420516283976234786796423556073165980660751495116554767905247025845512152171362512262467138560570463397817598686477955735056077805013854435287282964647130953787573439754553144416556678384900571583711360862371530220929373119906769901863320887649054595747727543270373503124589737870086283234613162091212016361460116399005452006050489514838949110816521455064803394052434351214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What is the factorial of 5004?
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