What is the factorial of 5048?


5048 Factorial

Here we will show you how to calculate the factorial of 5048 (aka 5048 factorial) and give you the approximate scientific notation answer and the exact answer.

Before we begin, note that the factorial of 5048 can be written as 5048 followed by an exclamation mark like this: 5048!

Factorial of 5048 means that you multiply 5048 by every number below it. Therefore, you calculate the factorial of 5048 by multiplying 5048 by 5047, then by 5046, and so on all the way down to 1. In other words, we calculate 5048 × 5047 × 5046 × ... × 1 to get 5048 factorial.


The answer to 5048 factorial (5048!) contains 16504 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 5048 factorial:

1.8992053666 × 1016503

The answer above is also sometimes written as 1.8992053666e+16503. Regardless, it means that the approximate answer to 5048! is 18992053666 followed by 16493 more digits.


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Like we promised, below is the exact answer to 5048 factorial (5048!) with all 16504 digits:

18992053666716611609455045714074007522772793587939120095799175905254136980766949448409611877500395132366519538123088365645703708203119600977094171013931410825042660083919517454902390357406985330815245910618098613367300684298563860325914134735609788175104552810666022088686168520474244209313182700948440945874935085829340235577461141291279980809934356655262282689481518302935294944816971529990576907590440661105590733981494780291814562461516238105651820084341802445537463998994857609852313981455332043980654814242755176629492893559263213251660637771176774152900212571818913889896196456997588004189909478791918954477890338158700224814622170709853079657818990335647789676859425828895911372895670068552979774620348638719410191559235804118609968916821409003205659571215359794438930942483645641161754224040278522894117068743349440796823679468408530423203690804392604015391541517621529544838195275049958170736470390493924361352210869267717028153393349044804890453534613864358880037114188323013549725910752436170584025312090366701357287640761231416344539833236008182747052171946203496151317744226694210143401556762708092948788145262906581885622054792315919676152795834894692828778295759508886669847156527266519024484367183777473259228507256200274305317024788654184339677644347939947810311332927511922987638190200714928451135629687013028267869898647784310170025885038464077885477227186268317032477897764447454146748211295351983771410319221130337364862896317629725557672090882025827521244327692741049043276564135175845676912324557595854806460259321775894964858653635314311402844938764011157963237770210519402476076136486420784748802934307233325482479177177121807207236885695635421029426063291017279814218815553217529752172665072276276809387581696694808080948968883706350679878247442583437919712745749259168030016191999032445923993638747866115032832148564956304739739572982501992636348178579837545296744176585965160714084557084643238448999302388698964112114368732212847465043994421596064505766265680550808968977769486732252197891878143607888640722526781775227796297548491619191622034222902885950455436924235202379985639476689000252633640007994407470137562110846795293786297767037376455599053184087993493530629852915309159397493287560104346693356670952804391171260954432418223046678211442620928959150966110485959391927196894864381126713650688371639499723725554638515768023623405675889733316708120346256963658749827188590285989999098750264010056951709753266117668839753999658065966698939715409761554639268740269576620522422107683608009467309024858251560028402276505025977059807670870064471468048070839171593347503488137953129065218039518297075533757061504885064575601185172012829774505315432651622049475565982969831104844476182086663404528681283546053197615386906068960262468723511159371820039492650911528141992574315040158705153706471269765183999740438610208091327064463887010377821581622425355927532063810122578589206667160890701606492406473159158283218503444764458236913433988424372511119564178993413509029838337364783873353526912226285542600724912574630981145611079630526560670812255171899288208514577812736478338757647289254432581130660492135911019893109236006890677944048202069988368865642969582851354901997244168664297374465527681440580366905238506212158272625877816960974303246433075427126898643021545711702925126248634891905862936486814591951973421438920198897757568654612040612494097236405767181948042376324007548030250907743883897079669606603875658072759093462298106509626682549701550278447639529928578343892370361037354426476494748009295370300256620530402272608858926767032051907878400571770054163469828732739006024392294138370231170080360130600362198426994676319589721450304130701100711233064141286362623008440327303445947611433923835737025441794634298100667853821594626478861720555342902459347419983096896007830727115377524351708126021056260188790294806161753928450706734268309529569903764783969316756666998874605546811436158868237108042878383890442560515091009853661433913669265303518161816186650943972308253136237717016766893181160783134104038358182084276973196570230987918337531723617153097911069624053157921145916824936581080410085559704221697766456524390901574215847137557866057533716159389582851895809078403420350889450958431684367717533307775803233617567850964847666320650588242469461876537740710815972867272152159669107857205105117367929767974607992069819115343089126522647633131458614592306418923322520084116902911294042918667836610651620076207222971371888364402482464184212631001960978536387981395745975468470468721041005637569885099395576570231330560648000607763903766264668380221958270262715125677688900838403363469580413455852009319598131745585025376665567762486023515740476222428098120098700892843930784702098516856578791065968174853847523167727911303311977898836530556833248168436832715847104008615673153947603324844145589274042527663917278899946994392492361018823459944878063145160147918916036228401227507681626971021398408202817890208907263779550361766505707831408470386896641981271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