What is 5021 factorial?

5021! = 21115440077388219533.... It has 16404 digits and 1253 trailing zeros.

Calculate the factorial of 5021 - Factorial Calculator

Quick Answer: 5021! = 2111544007...0000
16,404 digits | 1253 trailing zeros

Factorial Calculator Until 10,000

Factorial Triangular Fibonacci

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

5021! Result

21115440077388219533...00000000

How 5021! is calculated

The number of trailing zeros in 5021! is 1253.
The number of digits in 5021 factorial is 16404.
In scientific notation: 5021! ≈ 2.111544 × 10¹⁶⁴⁰³
The factorial of 5021 is calculated, through its definition, this way:
5021! = 5021 • 5020 • 5019 • 5018 • 5017 ... 3 • 2 • 1

Exact value of 5021!

5021! = 2111544007738821953320652193611569042819950836959669822426449781341491844029451932108906258459631792177149352222157169350042613093057017012725669778600870996000761020727673907220225587380318065147530830300294856593483360119478016025209909669887999704422203989307453357755726320392583489611402266308392404468951072177003232609718951483475329298631646708917941252382945032625093506184257355492774250534023538365073456105957489232599243428837084526828617604338510118447699320521649350796862404119717181542562408712552079454100238178347124585303416105382161583599195388586069704873277533405747637177753201868278387556827840467026252688169053245590208409599282007130974712617676661285925727362543539608893511027094832897975391517596876739022778011250109875269911681751279535841617044157049803529836446583641570442193504535915125260057826362742708097232676340016094700405628041964262949814049279691268938618733935679274372279683337923829305787762761463463368760954173996504115593059002232995032451318045251910622914691109745723211081824994591479308492618450205418939093184067692292475122635045020492590588587476374578781460106369456671607774198467480736110093768102139906457030973927652553943371643591707063560599473183601662526485833310744472797476478665772892365692222200675160970465174503911941962685593918909285253184562819165949871898127703913602217287070525835806494684909350960794328771103253745418880114688300712218821565204411022671786568820205063940371968514765980707589004886809363975397259822277157189619878491962266884109344132578333790566878042992470503914890794365555883324640034238573622844637516045103312968968279849833716069742186412879520319074032185768205955628119260865696314632886973123192621120762668001774169119709968448554144399718466357322148788539010141827828517325158525641950014387795114860485392472633873845404589785881202127143837930673823993220010389197390259592756577927642145095003570531643499118875388442378461081008457379387512630035161207414505594247067150191364713096537324842994591521271201004704632461326077378236475399661478471617754760652124314228317285880309720022934028977838820885690904407127037550704924180423673925807284600604833237494411764564011323315233569550265206255348634423498323778549144405984156534072585492804485438228492665804200382968036860925024756743108670511742417500976002506318257193017794217562600018582596423658613135002248195918779075418753331068008404644411313583956628177799984778606920660682125594563771487347690435951634962132961118856544649618205807859648838545786216036878410718826719882797502065003138483323216854065414160860862458859930034681797508012013508253905208932623449597335121504756746745998526153423869692139833321458589170409154344333150294812951907065195733074788731242265798021477609990284091482716272262447270093501062930910509561378010545513477615786239305720818698522005973322402290191857212566663172492413475700940538677520794071156962406434489834045242711483747273726208933931642923251249689310887043217607935352603831876914541925448636781571952371720146776925271308669093489762125768721913450606874651525681220454560265861685096865409302521722275789195806401121342625815989049445555590470097746027531230196635311903669723556134048983981048931580017428674611238600676571204890102565613478586721938038657298669267570092423838929466978539478153369603669776424043150163827807035695354426819257588265658594983680606331066865624082690310096171125618194088444673374588494684869710422646093875304976427805069815006927388480706637532139708535690825812188006576888010125607413188492454654510034934247864448906974852713259433470237181435397151515718796853329863335121078875663951326480609821688579986019635714207651889814360006192834127111123411747084343476608562938701609557894715025040023405445434530015417239941222793225501028328584345558637418247886047589480552575386963290878264287368711618309044788247190181680171879448055033727556568929392943091940481321509339787849081027225536579090907233575048225813989007491729172029379088098430266623817731522071908306236956630401840375497899886937120469926840843510128266964066101365023668515298988950165544037504490021564825732738194791826850725263527429095991846556177892180870403392958131009153086864304006751538425256564978165041228113249968435926453943354468565675330883849703070225852698471140622850157546042980392183269722090027630908746496973491929551395441492026619316933315863731502905542871950458744806541444267908313091206396294208517400659167450457022029277604745650575422792478433131979517758874872217062428829893251510027633923165554870084578648727202285002279365601734930955026793446367130098343027366815316049796725539727310544689461926463424831027963927799791114402804446901418387947996713538958776003242454686194561611893706475287523188817538115978030483981330274871381389697001305075516192054414566218105436465535231053437469590116053858645185818994019470572587392539628704949757745837243716739118336199569926822666647544090087183349184656915162005219294994040049597792592020410700779852561672600329170120198474450442294260031117104771103761532050332240497822414920764590972351869393068280618776691306059888845851192551255590024532502587919588116638130581062526118601753970892767988858195707427052195185958253178186048378244977334882222091106261463527940256533567765996142049943319592025010367090549128589044002267481355823170604342045821709419346942360330092849292065252248481204583166965266684503326771973603647358213108626317545223915638820861902636808319744605492141144831407847215832620901282843699868732889470290463120853634334707825370097272166995301414286307700298979386044897224605599914033836031481837973684154631481390682804552793993026710609696247316937568972605600541842251036920814023377999953156667646277739415431483922393124634505396918282934030152457240048096024683898383913911690004297654200532954218019003456789445732662155711631014610573673146969934764125420442434958464595678876561860973979682196080746650424875889131794264985142614058786620891105250632278129704682220510421598736234037328471749491930589183387957957603051196947998279153472712922466613464009558587765385210525061093087484125323265636492702986368980064281935564580107837867839284691703164361617996962781293680827157827866982490716940293418372119664870258846665580724226887410868004670971054235225770120650722553255840492834518456423093125180608384387622040960722908868929599504232172320384254871660573269401868994517390987131162070761986689384318089906115378286723148160187730881577450108359504475220393798913497321627455714874399637194587377555651677975929914330748998627665725828766281687525294807890678811879295815971269172569668930207747274236363469956158745469904707542069715151665787732292632114096887434077935595145411982574640240332956246515750389296157660375453759037483907218158129728306906324630130895836760557382355320390825311416445103614120804361843163419676678620365513715295719543039206324850228481986186691518852004257226568254332980474773004838639212152628819231727221099300156561899032878370990343992133215708745154274512076675127084863928514320565927297306766128927670556376462200552572382862610015874876236164455733446446877507039451179168200001307011879308288903020864451836059959976052524174825537738855944666469045519460506798616550714136839338426278329944696198343501865113164001422255868482540346905650832918185632403112092706631083375787906342172441330272802042838290098744251593787445386474142598698835154698168334672711962580281110076738013012923522691676486851993067939941407725717671832135707242788054684398851519601120197881151804468917980341594440208031232126934340483316685261660984638774421024457214692260813941904821766099011624567859397259728900438388168280884287220948722757682218834811131154086960010450477057926931932226010302238163350555157083341751000707326863967473176284843437708824096179628611016109900086240897057826660212692487070978258669632245817649980953586824655196915511605850206556539421161731132073469000014930173725627422869647061931764660708409999254080082255498102587515623477518287528535124012635882992477301458415928258101855325323425725689968865402076654893702450490095118101777680132870359517981802277128383807925133741728096871912999802600135875718971212564570680007823003963930187700048394247851255805784884279385386717772126269382506237908391638088006009994000079275496795641177891699577567318772315711346850330851174030329212026504218452089965351321496973575554529160169031612879044726874464317611415001964720549658429466374370370210334433727282150984945398977635432008446951975435804283434113791658543450713227419104738133867467851683683862036942400375914484264711172132714457911487985267481198016696201575257731040042429990932691260030861396813318084982587181307468307141515767616393177589563014743889103689137158948435793311752344204048497636662702997778416372426442294782428274371414321447183298213061662655444105717539642837715341221038462647270371269190388472701040233719752020044249998317599628372278324694493707019822000363646283942269286346758352167716485321060339922470147054596301008933841923389713776324314741922194913449115344464135243511762478234182466566587160006484348926961738373697274946123889407886997303420794556722486490165401464623562970302924454912133776796598032575175391017833150117061323638976397950971805179185433143305995687181392171549133525971032973477377845347370874056607532065992091562331547337055549494558665519235789112142337663014080685231795136578246091081313227509157408973247775458233045898610603907500632170987468589647473798600576855791598246006862581620249068254789424052774735727992112879331841383322224557946969384370855119843993762602553745069130294059878402049895127227109793630281193122951631103093085131829288823732944319573409090441715560996736510529816747043977812724317367011254075262281378648050901050688589714833273328487279707627071628354738917004823161639455925405812384757159843501663565184272911851006343282254090572277519045317769983014473114659496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Nearby Factorials

n	n!	Digits	Trailing Zeros
5016!	66300109...0000	16,385	1252
5017!	33262764...0000	16,389	1252
5018!	16691255...0000	16,393	1252
5019!	83773410...0000	16,396	1252
5020!	42054252...0000	16,400	1253
5021!	21115440...0000	16,404	1253
5022!	10604174...0000	16,408	1253
5023!	53264766...0000	16,411	1253
5024!	26760218...0000	16,415	1253
5025!	13447009...0000	16,419	1255
5026!	67584671...0000	16,422	1255

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 5021 What is the factorial of 5021? What is the last digits of factorial of 5021? How many trailing zeros in 5021 factorial? How many digits are there in 5021 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: