What is 5072 factorial?

5072! = 15107913099220477196.... It has 16593 digits and 1265 trailing zeros.

Calculate the factorial of 5072 - Factorial Calculator

Quick Answer: 5072! = 1510791309...0000
16,593 digits | 1265 trailing zeros

Factorial Calculator Until 10,000

Factorial Triangular Fibonacci

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

5072! Result

15107913099220477196...00000000

How 5072! is calculated

The number of trailing zeros in 5072! is 1265.
The number of digits in 5072 factorial is 16593.
In scientific notation: 5072! ≈ 1.510791 × 10¹⁶⁵⁹²
The factorial of 5072 is calculated, through its definition, this way:
5072! = 5072 • 5071 • 5070 • 5069 • 5068 ... 3 • 2 • 1

Exact value of 5072!

5072! = 15107913099220477196087774435822605563148634997544586967108264617651302183912146560267180450995717665167649862316992973261896879055649732081361938881697498687769876937616523214940058586051680611848079289800695984240308034512694896827038307572988276734389241467395859700561016237047112135616391253905700797976332409585178445601360861589458148074001729071178401044759557474253872046056445435522553299338238800960665830413158971565237088517253717016403295957314378606958441372273145567552734593703692286698829478436282772850349693188526259437976107419801723097309256542198687273942569756995547338768142994404765158412389009342311270229223878168471657204144718978014595153965046587814569816374125058207312655075280729131306255105929260577799442341059726624652419350580821416103978660990711648315572496069223097324537228350182644340795391074506312357870855119671826077926978116523867082568177766680029123373496036470721473064497933265599873655240125093076467967594789870255386750203599285557645743523295787026645754775914432515766207939542013037011840763101634599231235253792942073397382022981974939815357053364111073041545098629761277521799002772637378312176145799168934378004269843458833746878046721834367633898573823028594069518154093074786378336160130544060360191254548685899359160194039579029074504647746480975517908261033093888179785932778236264906763884277876904750816881641892200483065203961456121870122936464275095036307916094344565647458066327412529298127957789597123692880186745031093623190298916641627602650025690210294145811834968574084380510954993766155445253630080934983451632883787193408069810322583978866053483893389044747909221885344099280242985407606445712542909391683216913787672427787970506949132731745262550977449477844135506492320030584364800020287952916660026754947995416876963583136297038880010178005951221722050390446085203524160560883883450420865279200124954418596684756123670616568430754720244699966709136106073559657577456075799652581958882510497005839932543242338065377441486984639459217123724150055067307467210926133301355615183357714404299435483556858703572831650434570053598214570480919388597288061884964811973838728938188506674496181397993684632347813499262225711106482695474106479869690418396959344519848797533916581637592241082589563602631232240123405069459562666873111477783981915004942970596627504119791302506813062070741471295387271364682548417173336797037705046133424534012301469515895518823490438913311958356897046745612975552432895962303862599803802253761696559982222490699429893215543471891312161863529184081307015379883157122777633899022411177286378546557129303755173338635618533738110362123887576289639260216961494727957598031509515192228773940844657387931408585951703711601162299629707483870175270569285155883421761936056077295861608132983031992343011999526672865340150797676975822376212735313257103485491533764048140415288071669704220888845878072481154028078423504756857569137826298408216532067507366515801794742940513539584980168064581261248938918619759846791174627670671327572826323488582935594611196022579628894228795724269995380469733920012124858004190495103762296743450751520849423280566157880196263397506067661422120040983527656367623049794439907192748195098461781373101416001795103767994741963368760228431374517381552408827390509743264173172505350212130563005716759778901498286852088725623110710725762542284304986447378556700897996462940703501463497022400283921289300394139414714305912300909919210851521233716343556329150223053512445406197605246296922918992180250856275718111628684406741944602870418360915136934796269840292294126837678045340926728476170749783951837872649731954616612235714444668453942817018240244316429522323499302236239475583219319861991917746614069606609159262275604114907461502075178222508457438701743159292578229333280008200652655379052350855225162656746431621547956486586549590178303959559699524603615309770279778286877882289568023436053015191073069469794540390002529457971655687259488796097155344100992296185684396136326963220803580552616470916617648449222786544683735972475909687204480250476156439228496030622823927290054297597090837316653531823583605942472156267778363901088812844783410221495560009323818815741786390030734200418488472879978412046563055086778068982708074514294129989680510795176876234858814406445536764162881384961614207279388838859503238785838741277309416743551065200652410176418493037996391986939798234561904774141000239634890725443604677840045822325931495337242684884214082958677598086205721382245074436147337668986864300058989928133518336981397322753844530359360566162307233945788512016015234459025090894924993611898158314010226837563432162307966757289247587069074117245491688348393575325204866178661383491675621535228790776744992643385861073096573188418593201995686431319800261897213018058211874597973200894526348783407675113897111463916627575110237834159800431690849828885503560210669390556063924076412565215660351543900370469901188499236505481458179548544004743898643831689056129468112068341449873570020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053812068489991890704260857451640332876997453794623499932929212723208316275703522661884107957140676809286481476903486202572365390827618316580312359825028720581561707462532243551315373255769801996954072785801369556363760446088270825981097044023187354442136708849119429077289346753306441742869060017743242975017741268802501554995200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Nearby Factorials

n	n!	Digits	Trailing Zeros
5067!	45098777...0000	16,574	1264
5068!	22856060...0000	16,578	1264
5069!	11585736...0000	16,582	1264
5070!	58739686...0000	16,585	1265
5071!	29786894...0000	16,589	1265
5072!	15107913...0000	16,593	1265
5073!	76642443...0000	16,596	1265
5074!	38888375...0000	16,600	1265
5075!	19735850...0000	16,604	1267
5076!	10017917...0000	16,608	1267
5077!	50860968...0000	16,611	1267

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 5072 What is the factorial of 5072? What is the last digits of factorial of 5072? How many trailing zeros in 5072 factorial? How many digits are there in 5072 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: