What is the factorial of 5042?


5042 Factorial

Here we will show you how to calculate the factorial of 5042 (aka 5042 factorial) and give you the approximate scientific notation answer and the exact answer.

Before we begin, note that the factorial of 5042 can be written as 5042 followed by an exclamation mark like this: 5042!

Factorial of 5042 means that you multiply 5042 by every number below it. Therefore, you calculate the factorial of 5042 by multiplying 5042 by 5041, then by 5040, and so on all the way down to 1. In other words, we calculate 5042 × 5041 × 5040 × ... × 1 to get 5042 factorial.


The answer to 5042 factorial (5042!) contains 16482 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 5042 factorial:

1.1511894875 × 1016481

The answer above is also sometimes written as 1.1511894875e+16481. Regardless, it means that the approximate answer to 5042! is 11511894875 followed by 16471 more digits.


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Like we promised, below is the exact answer to 5042 factorial (5042!) with all 16482 digits:

11511894875077769437359377168274114778617370007888195956000636290339195990647386501051254450203126442992923273701913357790465722753179533090643697287046257855383369337867456860290408650651934346903796693281670527700651506367815545402141424983432683463092838512628794940897794987983743260322401893596090801459179428617230440583600200727977552941915576066861868213238669176287852535727215285242137019637376105113544151737719266226404452514051898949144745734494008019284121217985727807049447568986661319476905380995392403613123727496329172192895983277404353073501517422929240474306334624019650875660347854200755595006580611277391333286190894367490005789913564490743177053803794763756595903707713147173030083333407467564611544607062863751911846866723082168168177542649367800523660227043440507891720532034426028058429115639064874160464253844949485291362239626722359242912686895840551223706636323596829267287348912441390907923623964295434624309678491182977154970388002527990447310936526993267460210215978465848021099295304504434112464489856338101130034016317818466252563470246845931263460904117958482066802395557498890573898520497348828087636584045509163467009357040244480455657629359839131308080618085367689255391974612937329848590400546998454793055566937251963347817543921426254567005024195161536113434447004125424561357449469095379449334046071636481453190094848450318107776656878041425178579651223421717830645210875375598343778071044489774820369092263451581361838988454034033858934856092893395351395931637004644597749339499375411457661264179547486710054606801786899608971011108833916641524001812286451955134472587704876761386188356707392199636002855243563434862650597283793694577310650970099134135198427574049037800039147861403444384725015459666607622238508546199533886335998120683300433150131673116828990114227272590412452875970053403174900970549730410650683053695290617497915738459384376315831545876991220578650994106836680830092896395994069918531872725922794962127292014847256777514444595811861461358337004625686978224344793778306434841876937436678791627403389463736661529466882671200630373452345712744923003146617950322147094817182566059741461100095053098645881162687669004395665570482843150525383614763900965754543086481069936081250572661645981009710424652686405836544467355674382021257917130843793890553080558128819339743953142765844499532894929128037768308701145297205962439533806380929328103952204725175211323604533817212695810045766896716351677079174141712816490512974329349043269962413806530920789518034391224241117697582834455408666377635514810858221896360430847976616640305622538447431700744284157539114711523346537161466922716640473882155561668220308970090593166875577174560499909836513881706120267333548603820752359668536908290428218268376373373951428627267824251642264408796365184087344074204131380265897293974472786799744616669663332440476658895016988288837544040547712097872567294338297148800693098438371128200315388512702652031338049146021298772471704606279717477915233271355195685036617549683538002861430643039767392936352927524028964298795962879324531116472474951576417226285323900525935780762492515419127438585272677543474260149484197597947992104714903005962043195456349318494937268970622686610343971043766717496734105375945553505530299195523323431397575970259249644742810073292387021449698611691594884340298319156912807521072694009870464864699624531626357422071243986627299744588385777525042839909757145516259506997888074792224889830835554895107420753956911357820080668048756779842281174790631927550371538174295879421248303428144264841538547028787592178154913150165440309881879567076284565938683373064932938443764282788670034000459671078234191297944680732658658700101553674193170550534823874828465638355928093649100747330897016223635698623427537404492551011631401582537067481187147553293062880247639483408228676074241004151125735614158260461186095789171996184669493828094615349363130504938151259341366721192655037623015080840694154121164033553914121756646820719346797576563969295445554510511721472564120569665298260942539229428257272526597789773862283178907303134435475085725230438677311548784343134379404461343101827093616993543484411570425654142706556306400545120725384219971702668394808866587272387678315341206452077336188482176349929212954243235069181546543832841356075041482428395491358703277228817957985746291762948407246278876438408919441440664195862931433287247452867079217008300622447542711108519793721514773837238152492894359266528967935619802598572262195131865349718782300038894560163610677405948217344632114228776833024248096082726775177058716165083357123077327430999500552157146441762306496669974737464573896326804049510625656035061904404066300303451533555410280244015571611629578697617228722494176846013958150009995546492251466674377381234462234562404688283184499361199925315955743182706140530849431263308504054328870393470790745087309023393290267651823817124004908428162920303641427834953405025846804073907050034038144977636000636484696028995832413821638188081236248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