What is 1672 factorial?

1672! = 13225271676202440642.... It has 4666 digits and 415 trailing zeros.

Calculate the factorial of 1672 - Factorial Calculator

Quick Answer: 1672! = 1322527167...0000
4,666 digits | 415 trailing zeros

Factorial Calculator Until 10,000

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1672! Result

13225271676202440642...00000000

How 1672! is calculated

The number of trailing zeros in 1672! is 415.
The number of digits in 1672 factorial is 4666.
In scientific notation: 1672! ≈ 1.322527 × 10⁴⁶⁶⁵
The factorial of 1672 is calculated, through its definition, this way:
1672! = 1672 • 1671 • 1670 • 1669 • 1668 ... 3 • 2 • 1

Exact value of 1672!

1672! = 1322527167620244064266030595086713410512681490876200739392380671564603212458776235043721591257954854191870577091623864680425435556803758659012123285668457911007179342305431199942680963543199167324160588841657797015075203070164523028358439498168626923077045530916523560011177310626905390271008048941488993141603557301060701321935170487263382687241127027536862005767123199276559682462984841350431573168754359863028760155634231751077042838723559631497777967806406324573042086651451922225431936317985082780440924155216933686493908014967036103245316803312107123608410251246551991016208707650668098614336141880017010325168033318444483138769479899976674719961969823919756277888161783781875864577517437938515177212707241330997828121581516534226019314580869632173000497474038444140797577538777342411828463314365092051597214442605537732577157156248927924698262239794179787490985568958705181537586573569467017555839307072107915998626557577677662635166050966991999993585632383831180756269666209936235739432924918012746069786593393856816974437904503129266616718673974721240140822951641963179745985240351407440571064400880446172445216259920274007643449657048895137495810201953723347197320162250529909647329234999807647271464212932593052396559430946879849647084313918794379003648265587892298163521147988568377011835075007739685319119233252164096643825475389008207185997194852525349471676090009662807695548261926240609687319895819561187964706676082043588979225552152131627010476299665762071712220600930007299198493367069902262728441566895499044917317288322536410805810288826066528177993145307936460151965877798366781609254873697095904264118281749344695916252226872319321793499138681758678953639919579499921350556547241672404166381315345026823063683016384936053340099235575682892343805071864368415365010298558152290491717817414996609925058490961040065195494255365011552565613252246848913182262610808622012350857224433291551868325581107054800851625263812330503005640706379685190273181067240517797606207861528092017516464943157004688182535928820363813938915154829841139182427788635353682214887237672318511316484029124656585222019501885985566146687576621979291899726369928070451867205088458756559681986645940194569417688013407373989804830500467173737422327515538507811332676770764284726994650418266044521261878146344457027892224627820446788418000979748919937164875327804759690335201950702652416404587049249632076416494472994349458521836892722702931888529716362699962146584040124968565607697093701808206725059243306444362412761526546574271664596056162478035533203205483785609878272588660090255018364961510513094337662223993294675046448107745927950156587243367622455234895595637989207425092870200600455587596779775002880237748126917430647050540654419708933439552649052386081747578280294284153832649277448798632948684496515747356864863301875838903642330812115407021026366934717825355652304096671126743170106476644267940916033758363464234776572979184540558571274141226012190056890092380546688655664793920306701413239088451455154695152595947226824703428259791544731793345470650024342192395180103642200290400089971991638587797064862545545220399976528722738971899299770516184140203269807153489890683935057864903620774089611796437525143945042352896640838709979054946420646576097540206647610736509856514299560405263510745002468209805291781585813179521695857725181923322205264079850073149356183889333736123439641825663211459465355984992924567597510337689507022715087004564211669913313275734786477821024816532004573062880083335196072621664424988448323822717676047051219198687890289581309978836211094355884905032932251335415708553000088770483176409556371259940754533826747670136384612160717921709043350151571462224749809683522697999989008251826358041344698043144451047119077052965839753304761680691265274130015615076476441650574330243804463498505151753143071927952237418823254346920443459945537281669581403027902528113337541786044341246164100371101475380289032374599853881475774421000869077070081700774872298644616026890125657511426579346902000798225673767223506902464123511298326567346311865369876050455036481250806063479972570073247966180142910950113269129771779274502332998041171537086507237073406068490501377656281525883971412631993361496414037834396100874169840250568329742254080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Nearby Factorials

n	n!	Digits	Trailing Zeros
1667!	10181763...0000	4,650	414
1668!	16983182...0000	4,653	414
1669!	28344931...0000	4,656	414
1670!	47336035...0000	4,659	415
1671!	79098514...0000	4,662	415
1672!	13225271...0000	4,666	415
1673!	22125879...0000	4,669	415
1674!	37038722...0000	4,672	415
1675!	62039859...0000	4,675	417
1676!	10397880...0000	4,679	417
1677!	17437245...0000	4,682	417

More factorial calculations

Here you can find answers to questions like: Calculate the factorial of 1672 What is the factorial of 1672? What is the last digits of factorial of 1672? How many trailing zeros in 1672 factorial? How many digits are there in 1672 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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