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Number Theory
Level
4
Find the last 2 non-zero digits of the number below:
The answer is 32.
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1 solution
Mathematica:
``Times@@Array[2#&,1009]```
2308827588930991796919894188638360571111848550540305970711987573405823428144606064883330803618017104486101605832649854350373698823432044257676972322074463086586134746540468048315091338866522475973038871099637194390898972188765127904726262443864647002055626975948525054428688714612666189654045213622819697315188004276052741458341182498107357646209061385052717477706811289106926533272884152184328502441304679120698214462435271948798271128704166170439169805493850317541814102670243526944317602443962837406700768174571115393698806138927553482113206258746115302124081116222225354331205193405344161824530498033340031989368923309763867587317890419949818837832800991754511430648056544269027920267031391147130229589542753490587402530019552816528364589633348017855442371044034633728052436615958984813211270208997993974044939254851203431465595146226923600494526179099091881666420457801138741112489359096983781023636343273576576259487421447569914337453947102637415511290956836952593802363504070328479188130751448793486993867227747263752496732973339642329658057723246311952313614851421617033709358394415123153265209008315578156385875200192012088258672364769917871658215790952866502429312042504537895407024739773866570664104362252934340703000307930660835143617687705334628800956057297499841592357294078210148021961029876908972325662333333721739948513166039527328616310536002565328307700418416551243520356781594728306381730859308079702102034544622933485870015887893945655737556738714320141891159911676238620476517912326599383007695653322119554147668137290670031031103103342672668818024475939606854697143680275380062877367326313266383531978087933391914063057126330626934516736762210010235031185651383034336595200040825862481207228994956855464292105746617337344424696773003612680758691878590425129287415655490805080622323119968466740305282261932222463028133093442969853567167525852904577400959117158723264971486717264988034344156260565106696174296719630002803871263035949264321686938547124524045988589384344485204995584072091539263771572147511180042632948081967596980265699510946532349173868341285595692190334846420853337764796791267141494311738890698737480360354769962583666479024309743839209304379476022491591327387528506291082587663095729738764471372867992040539918204257247332759342848173109576535547515463734219718136732387252968088279548523045970411858861921479823901680269110563467950185472286286222685602743626898825444275012455656019881670888241219750167112672897800658581704430838162025506624107704334479021405632490135820829018165152838289920089485508318395645149236221399671103048008381880477123340502245567385501162343603875586428887585515361462984376320000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000