What is 5104 factorial?

5104! = 61667241683343452478.... It has 16711 digits and 1273 trailing zeros.

Calculate the factorial of 5104 - Factorial Calculator

Quick Answer: 5104! = 6166724168...0000
16,711 digits | 1273 trailing zeros

Factorial Calculator Until 10,000

Factorial Triangular Fibonacci

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

5104! Result

61667241683343452478...00000000

How 5104! is calculated

The number of trailing zeros in 5104! is 1273.
The number of digits in 5104 factorial is 16711.
In scientific notation: 5104! ≈ 6.166724 × 10¹⁶⁷¹⁰
The factorial of 5104 is calculated, through its definition, this way:
5104! = 5104 • 5103 • 5102 • 5101 • 5100 ... 3 • 2 • 1

Exact value of 5104!

5104! = 61667241683343452478205435330734343419151789018844073010259894625306107891628267033175027288056688987147591144266574510586104411490654826778115920275844751040446735237994532102635465791514901532236947879090606946936780199588470793711517172547496825286839533516714173977804251234681921750047888545817104684683265386445663408244709808152970426328454329517777441475961871260742426108359454706350697876569677328897145280763095117942433997707348051060436626781547598780045201536540230668879603184693846683345537979009991029438274229371636259957158709048785621252252025207390608788448366893358880135331527386377007690307202552959032348908309940038963369761199976471817001760474237660869559905463437460447383145950657691180499871526200021629901088666549250141139609455907589207468927154195493499845457192990343762345851734162835051426954290823221079082772941979859775140547634729239536040829410313490819510277022381156317699473773526912658124080022271840579487113057282267503541421264551187848760223716193930242376413523065284061649602726311988134434776032941586344042062504033064927346816926239018664407837382871702482411285160924767499252377384350165386285761996411065927683798405990586581054865685649235200570903757791447261287649040095555391135187347005808412146066053777896000814560739552854181143089848094152276243123654202380682979508295961126295203922513319266116861242840898277789770913881579882913668853823788547088681919958919159814374765012509207651875285612215883068521449103541862245902561302292248134907815321694200032420102948815958495334422201901933009190530130603458080232980128888878805491769522909445836079276065695350878273994895208768865246741383338508814254602756152788311924173457033461394225979562627228681051956407248037542857233535690602000189804934081387309708821548609244730515222402445920296141946407108292505103991254577859503173070054953591358010163976050363232451479754038681339585198961356288069271781695287200568995314319392476967524944815814540621219030482138982295863529027337461182075711050060874925924436249492410399273202405128062728054635891512411197376091838553155999919514572615800568506144778180138657491816982043665632338519218829717128031532984564479524698376339204726549678426174553106087604006013445479451808707782068764181501693084517268766867886512796538601670782847092207712192989133990724768730594740158000128765849843772508978334948564864591636362261703426143025459548459547776692930932678197128559356931135703392749250287990172798030498341858502574039801354030646739480199446659778686001813151167140713569370681594540149216840392530090177418593796045510761122345482460063669637376996790904668112276131472333395820760422877282326407333046004385311735476494636753683936444751950919646749104227658269087955774110417023151876854130661167613285174518712354902806298930662172174134269907200652504599341950657330951583793867541225077918421903599092859445858853880326516521324996300096822813549533251791229742811822584800828738245180907806394109904824937610516824975753736416263874505706946347332660703766737667680143099190790840457903750584766844468444535679795948440672199712103755238172977123259237142399342500100755083863649083541500795863238943086164184428727446699002540005443944482235387208073515767530178091240791326269084711520808324306479300585397022489933281708126853458893468633991451496935405491387097126981388059872475726025377584789077108876458310604362432738495151942031205981903809356788738716537322576917149219817815220599283860922838527953177930570330820040722773706318497287238737457965361218835106482942267401615812728411083254011908183863868240113784289360961578972401295271295270671904929698956031591176446414993334877934754710819332618205397271874127005974398612295885911872030531337444287716060419599906871998613640849136408661235756405196585403678055900374058118856201815576699996198831623868619783188992136394212158761900534896529892724835217037581335753807631183820844891606789352548343623200163587990387192892570187192510940897982344626957329379169401136775683929038499769499142036504268761019661945976036390458857107008074973889712362010266682504832326115882570679257841365785158522108082869437682494196839331599917207578034468690456651942033442977955767158259309934251145163462717535700715320346068299594242746352776553313588565253651226042777117068368111044987326103626834156446742972296721300037126921095071195553033981122354325909833016973233178541501577871410062257068692244864858366217106671942317793026082844643870785787255271147833185329634465731689883313808755539840740483405992864443092495623639654931016601898784623643907364819392354288475328370361289951338130384425339163492741247171309651563885308740892642764284759401215354985195332887880315439507719721301996343883952029081036353351219188451956782486523083581920262811270581110410867151210438993777379077447182624123243415903052508797837141863172710109300229352648562295641349576733693691446732261334912812531252960019322648579100893202818010600089336524112225798291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Nearby Factorials

n	n!	Digits	Trailing Zeros
5099!	17838253...0000	16,693	1271
5100!	90975093...0000	16,696	1273
5101!	46406395...0000	16,700	1273
5102!	23676542...0000	16,704	1273
5103!	12082139...0000	16,708	1273
5104!	61667241...0000	16,711	1273
5105!	31481126...0000	16,715	1274
5106!	16074263...0000	16,719	1274
5107!	82091263...0000	16,722	1274
5108!	41932217...0000	16,726	1274
5109!	21423169...0000	16,730	1274

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 5104 What is the factorial of 5104? What is the last digits of factorial of 5104? How many trailing zeros in 5104 factorial? How many digits are there in 5104 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: