What is the factorial of 2006?
Here we will show you how to calculate the factorial of 2006 (aka 2006 factorial) and give you the approximate scientific notation answer and the exact answer.
Before we begin, note that the factorial of 2006 can be written as 2006 followed by an exclamation mark like this: 2006!
Factorial of 2006 means that you multiply 2006 by every number below it. Therefore, you calculate the factorial of 2006 by multiplying 2006 by 2005, then by 2004, and so on all the way down to 1. In other words, we calculate 2006 × 2005 × 2004 × ... × 1 to get 2006 factorial.
The answer to 2006 factorial (2006!) contains 5756 digits and we have listed the exact entire answer at the bottom of this page. However, below is the approximate scientific notation answer to 2006 factorial:
2.1447944787 × 105755
The answer above is also sometimes written as 2.1447944787e+5755. Regardless, it means that the approximate answer to 2006! is 21447944787 followed by 5745 more digits.
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Like we promised, below is the exact answer to 2006 factorial (2006!) with all 5756 digits:
21447944787047798356289733585461687553416265254260341025261946656030631120349019878267076858859826112647360832653065038354423127185987909770952383693736750264163578058069369869487757309715998660640457717889450334028920005211791829943751822508857311394555482570181537626686181593910794484826493732974429663312580665371476784861905147818045372443819621405014299561562352575285763336008590394949433714723072108245080962066063272207196523185482345926674772886452157725654846133920298130028814135167505177573836022000950727324929055863113340174796462522849608502640060702704022853271936644060035959087341109735685730380997049201796961368985997641727418918867562631906411828148836291407636072229869880557263786451529208748911406736967743129054646378834128961638880577347530056986804535063735191924202926759716657651693806491627070767216503690657952784242364816561888337782188906207108252965653238079754610353308166538218115192791228347948764825458851695258831410386084614934848839348430571092954014488415903207255121154143976013912146315543761917658321670071425878447216929463519960218684772490182534684688304964365038136010056926135239347558553735812696668907476929777340900032307848232920482778141963358172140698948072246374555481816546584094235905332724788299407661349043027539911848581196972619135509373689219261269923579663138664403814499229663130220643874935695853579678497146677640884785081449440150406663322510437228328799032439736962158083388114966464699379050429948649917542279978390858094901409823610980578914103982974322503257050277681650940582242362402224273193936416033038005868515549979438745216385018715556151423435461759658012640098186814465929094994943310338124093214917259147999575093830660911925596020136536723276580583074213049248409586849449724991813154844237007289452773319552727624192424415921256232062376427024188811183912654870067856445823718933000736207455163392861367311301403911639092211056230305550305071343924793126032925041032712725751808381979121363493342666338757113026901741936398504046750737486160982035173288862349197071295842667651521945487128042422566998577808278066265160233245306128289541447109117507065612309638364124049777712234946416790526178169503096532342199737899259136990769759470517991807550331450104323536587557552471402814979606745417951177432198740043278726533536621088085247785093616474584669660465639412110274505183819528685257847131122674625337822632614428238143627133606046699178772710657771080942940755795218756203257923981155617997834825432210296563100785529136089251042635613144831509340268870567293596382276835471333243915496150209487797108055515172108874237874333319626822874714883202578315562021526256352036466658411126278005046876517506981739637662256128782996226637698606588757475596062067701023192910194143034776385990135410353741664791270301595611296483113713688794395091259474250727313948256708248137986760934670688123277818937687163206693070685340318760003197043174146009298963040387874639075538624514538954558190634044559983083724298567882917722496036753844622014231134116786912031862230515489047836562422081256642168421302152917636328375228044765703777199878045977666910417849888424440238599593635363551516807060223139444994653166622242077705597215523167978690361338201054171418461748182062790189731892411212819375061595985296966694568263760965448081761507172637366396128689839681758450323775918381996748650561591657478094535850506221406333398983091920147442551978524022450893859009231122502750588061140174587462812500360461185004141726865214321187101667928252889957188901261120672418117035801028205612533607210022949254241093648538295406063221469630661508033006996375857148395519050582427814243078662123839859446573762788707888240653820408787642490815934607491177831394639523641540136316085733103121710910736038246271326195126330583483213609867744789416900012509716030803278257278889681182828329472377365702187359851574324535284560204796623569423819414901097450838227019055692542149636713323259379699392714794739732965166322642418135499842715598734487914321025936532386049317219256512659241184552106821959100666672378194063926641874722267079975152347196150254270142234511015505916716512175733885625093329503387398976249281897262396996663239156645071606404075108896941512267949272078579828389365077309979001572805616850288037997650836577141089125550342359511814440444903358536767569210640352687910573396056648054817674916090539717595399133762203305589150279253135830532894637283382111244574476873159532892784304066124889802109586418443733606858215078603862982682352398396255322960194177391870361492450904300320926487185977676909767650593803799224731183067100413928369546976885080625839519455325255277829115479546794611303905999292131189703983004564524551442001842637825837824119407246972516566599189640975530576800324900617546291338177336969065636000670946582400919955341790235093455939370622564356088663795779372041400157716723335531424645549425513958742935291224958896767078230901580595117863782984856094722352972026034945665547152774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