82049209438166771129952
82,049,209,438,166,771,129,952 is an even composite number composed of five prime numbers multiplied together.
What does the number 82049209438166771129952 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
82049209438166771129952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 82049209438166771129952:
25 × 3 × 73 × 793 × 1316
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 79 × 79 × 79 × 131 × 131 × 131 × 131 × 131 × 131)See below for interesting mathematical facts about the number 82049209438166771129952 from the Numbermatics database.
Names of 82049209438166771129952
- Cardinal: 82049209438166771129952 can be written as Eighty-two sextillion, forty-nine quintillion, two hundred nine quadrillion, four hundred thirty-eight trillion, one hundred sixty-six billion, seven hundred seventy-one million, one hundred twenty-nine thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 8.2049209438166771129952 × 1022
Factors of 82049209438166771129952
Divisors of 82049209438166771129952
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 79 84 96 98 112 131 147 158 168 196 224 237 262 294 316 336 343 392 393 474 524 553 588 632 672 686 784 786 917 948 1029 1048 1106 1176 1264 1372 1568 1572 1659 1834 1896 2058 2096 2212 2352 2528 2744 2751 3144 3318 3668 3792 3871 4116 4192 4424 4704 5488 5502 6241 6288 6419 6636 7336 7584 7742 8232 8848 10349 10976 11004 11613 12482 12576 12838 13272 14672 15484 16464 17161 17696 18723 19257 20698 22008 23226 24964 25676 26544 27097 29344 30968 31047 32928 34322 37446 38514 41396 43687 44016 44933 46452 49928 51352 51483 53088 54194 61936 62094 68644 72443 74892 77028 81291 82792 87374 88032 89866 92904 99856 102704 102966 108388 120127 123872 124188 131061 134799 137288 144886 149784 154056 162582 165584 174748 179732 185808 199712 205408 205932 216776 217329 240254 248376 262122 269598 274576 289772 299568 305809 308112 325164 331168 349496 359464 360381 371616 411864 433552 434658 480508 493039 496752 507101 524244 539196 549152 579544 599136 611618 616224 650328 698992 718928 720762 817571 823728 840889 867104 869316 917427 961016 986078 993504 1014202 1048488 1078392 1159088 1223236 1300656 1355719 1397984 1437856 1441524 1479117 1521303 1635142 1647456 1681778 1738632 1834854 1922032 1972156 2028404 2096976 2140663 2156784 2248091 2318176 2446472 2452713 2522667 2601312 2711438 2883048 2958234 3042606 3270284 3363556 3451273 3477264 3549707 3669708 3844064 3944312 4056808 4067157 4193952 4281326 4313568 4496182 4892944 4905426 5045334 5422876 5722997 5766096 5886223 5916468 6085212 6421989 6540568 6727112 6744273 6902546 6954528 7099414 7339416 7888624 8113616 8134314 8562652 8992364 9490033 9785888 9810852 10090668 10353819 10649121 10845752 11445994 11532192 11772446 11832936 12170424 12843978 13081136 13454224 13488546 13805092 14198828 14678832 15736637 15777248 16227232 16268628 17125304 17168991 17658669 17984728 18980066 19621704 20181336 20707638 21298242 21691504 22891988 23544892 23665872 24158911 24340848 25687956 26162272 26908448 26977092 27610184 28397656 28470099 29357664 31473274 32537256 34250608 34337982 35317338 35969456 37960132 39243408 40060979 40362672 41415276 42596484 43383008 45783976 47089784 47209911 47331744 48317822 48681696 51375912 53954184 55220368 56795312 56940198 62946548 64588109 65074512 66430231 68501216 68675964 70634676 71938912 72476733 75920264 78486816 80121958 80725344 82830552 85192968 91567952 94179568 94419822 96635644 102751824 107101801 107908368 110156459 110440736 113590624 113880396 120182937 125893096 129176218 130149024 132860462 137351928 141269352 144953466 151840528 160243916 165661104 169112377 170385936 177599189 183135904 188359136 188839644 193271288 193764327 199290693 205503648 214203602 215816736 220312918 227760792 240365874 251786192 258352436 265720924 274703856 280426853 282538704 289906932 294499921 303681056 320487832 321305403 330469377 331322208 338224754 340771872 355198378 377679288 386542576 387528654 398581386 428407204 440625836 452116763 455521584 465011617 480731748 503572384 507337131 516704872 531441848 532797567 549407712 560853706 565077408 579813864 588999842 640975664 642610806 660938754 676449508 710396756 749712607 755358576 771095213 773085152 775057308 797162772 841280559 856814408 881251672 883499763 904233526 911043168 930023234 961463496 1014674262 1033409744 1062883696 1065595134 1121707412 1159627728 1177999684 1243194323 1281951328 1285221612 1321877508 1352899016 1356350289 1395034851 1420793512 1499425214 1510717152 1542190426 1550114616 1594325544 1682561118 1713628816 1762503344 1766999526 1808467052 1860046468 1922926992 2029348524 2061499447 2066819488 2125767392 2131190268 2243414824 2249137821 2313285639 2319255456 2355999368 2486388646 2570443224 2643755016 2705798032 2712700578 2790069702 2841587024 2998850428 3084380852 3100229232 3164817341 3188651088 3365122236 3427257632 3525006688 3533999052 3616934104 3720092936 3729582969 3845853984 4058697048 4122998894 4262380536 4486829648 4498275642 4626571278 4711998736 4972777292 5140886448 5247988249 5287510032 5411596064 5425401156 5580139404 5683174048 5997700856 6168761704 6184498341 6200458464 6329634682 6377302176 6730244472 7067998104 7233868208 7440185872 7459165938 8117394096 8245997788 8461042279 8524761072 8702360261 8973659296 8996551284 9253142556 9423997472 9494452023 9945554584 10281772896 10495976498 10575020064 10850802312 11160278808 11995401712 12337523408 12368996682 12659269364 13460488944 14030335931 14135996208 14430496129 14467736416 14880371744 14918331876 15743964747 16234788192 16491995576 16922084558 17049522144 17404720522 17993102568 18506285112 18988904046 19891109168 20991952996 21701604624 22153721387 22320557616 23265493759 23990803424 24675046816 24737993364 25318538728 25383126837 26107080783 26920977888 28060671862 28271992416 28860992258 29836663752 31487929494 32983991152 33844169116 34809441044 35986205136 36735917743 37012570224 37977808092 38579489651 39782218336 41983905992 42091007793 43291488387 43403209248 44307442774 44641115232 46530987518 49475986728 50637077456 50766253674 52214161566 56121343724 57721984516 59227295953 59673327504 60916521827 62975858988 65967982304 66461164161 67688338232 69618882088 69796481277 71972410272 73471835486 74025140448 75955616184 77158979302 83967811984 84182015586 86582976774 88614885548 93061975036 98212351517 98951973456 101013472903 101274154912 101532507348 104428323132 110207753229 112242687448 115443969032 115738468953 118454591906 119346655008 121833043654 125951717976 132922328322 135376676464 139237764176 139592962554 146943670972 151911232368 154317958604 162858456313 167935623968 168364031172 173165953548 177229771096 177681887859 182749565481 186123950072 196424703034 197903946912 202026945806 203065014696 208856646264 220415506458 224485374896 230887938064 231476937906 236909183812 243666087308 251903435952 265844656644 270056427557 270753352928 278475528352 279185925108 293887341944 294637054551 303040418709 303822464736 308635917208 325716912626 336728062344 346331907096 354459542192 355363775718 365499130962 372247900144 392849406068 404053891612 406130029392 414591071671 417713292528 440831012916 448970749792 461775876128 462953875812 473818367624 487332174616 488575368939 503806871904 531689313288 540112855114 558371850216 587774683888 589274109102 606080837418 617271834416 651433825252 673456124688 687486460619 692663814192 708919084384 710727551436 730998261924 744495800288 785698812136 808107783224 810169282671 812260058784 829182143342 835426585056 881662025832 925907751624 947636735248 974664349232 977150737878 1063378626576 1080225710228 1108396538549 1116743700432 1140009194191 1175549367776 1178548218204 1212161674836 1234543668832 1243773215013 1302867650504 1346912249376 1374972921238 1385327628384 1421455102872 1461996523848 1571397624272 1616215566448 1620338565342 1658364286684 1763324051664 1837974006961 1851815503248 1890394992899 1895273470496 1949328698464 1954301475756 2062459381857 2126757253152 2160451420456 2216793077098 2233487400864 2280018388382 2357096436408 2424323349672 2487546430026 2605735301008 2749945842476 2842910205744 2902137501697 2923993047696 3047779682429 3142795248544 3232431132896 3240677130684 3316728573368 3325189615647 3420027582573 3526648103328 3675948013922 3703631006496 3780789985798 3908602951512 4124918763714 4320902840912 4433586154196 4560036776764 4714192872816 4812405224333 4848646699344 4975092860052 5053913144281 5211470602016 5499891684952 5513922020883 5671184978697 5685820411488 5804275003394 5847986095392 6095559364858 6481354261368 6633457146736 6650379231294 6840055165146 7351896027844 7561579971596 7758775769843 7817205903024 7980064359337 8249837527428 8641805681824 8706412505091 8867172308392 9120073553528 9143339047287 9428385745632 9624810448666 9697293398688 9950185720104 10107826288562 10999783369904 11027844041766 11342369957394 11608550006788 12191118729716 12865818048727 12962708522736 13232764950293 13266914293472 13300758462588 13680110330292 14437215672999 14703792055688 15123159943192 15161739432843 15517551539686 15634411806048 15960128718674 16499675054856 17412825010182 17734344616784 18240147107056 18286678094574 19249620897332 19900371440208 20215652577124 21334457777003 21999566739808 22055688083532 22684739914788 23217100013576 23276327309529 23940193078011 24382237459432 25731636097454 25925417045472 26465529900586 26601516925176 27360220660584 28874431345998 29407584111376 30246319886384 30323478865686 31035103079372 31920257437348 32999350109712 34825650020364 35377392009967 35468689233568 36480294214112 36573356189148 38499241794664 38597454146181 39698294850879 39800742880416 40431305154248 42668915554006 44111376167064 45369479829576 46434200027152 46552654619058 47880386156022 48764474918864 51463272194908 52931059801172 53203033850352 54311430388901 54720441321168 57748862691996 58815168222752 60492639772768 60646957731372 62070206158744 63840514874696 64003373331009 65998700219424 69651300040728 70754784019934 73146712378296 76998483589328 77194908292362 79396589701758 80862610308496 85337831108012 88222752334128 90060726341089 90738959659152 92868400054304 93105309238116 95760772312044 97528949837728 102926544389816 105862119602344 106132176029901 106406067700704 108622860777802 109440882642336 115497725383992 121293915462744 124140412317488 127681029749392 128006746662018 139302600081456 141509568039868 145199946549919 146293424756592 149341204439021 153996967178656 154389816584724 158793179403516 161725220616992 162934291166703 170675662216024 176445504668256 180121452682178 181477919318304 186210618476232 191521544624088 205853088779632 211724239204688 212264352059802 217245721555604 230995450767984 240774594911891 242587830925488 247641744069769 248280824634976 255362059498784 256013493324036 270182179023267 278605200162912 283019136079736 290399893099838 292586849513184 298682408878042 308779633169448 317586358807032 325868582333406 341351324432048 360242905364356 372421236952464 380180012722307 383043089248176 399259138398199 411706177559264 423448478409376 424528704119604 434491443111208 435599839649757 448023613317063 461990901535968 481549189823782 485175661850976 495283488139538 512026986648072 540364358046534 566038272159472 580799786199676 597364817756084 617559266338896 630425084387623 635172717614064 651737164666812 682702648864096 720485810728712 722323784735673 742925232209307 744842473904928 760360025444614 766086178496352 798518276796398 849057408239208 868982886222416 871199679299514 896047226634126 963098379647564 990566976279076 1016399625849433 1024053973296144 1045388431073147 1080728716093068 1132076544318944 1140540038166921 1161599572399352 1194729635512168 1197777415194597 1235118532677792 1260850168775246 1270345435228128 1303474329333624 1440971621457424 1444647569471346 1485850464418614 1520720050889228 1597036553592796 1685422164383237 1698114816478416 1733492208488383 1737965772444832 1742399358599028 1792094453268252 1891275253162869 1926196759295128 1981133952558152 2032799251698866 2048107946592288 2090776862146294 2161457432186136 2281080076333842 2323199144798704 2389459271024336 2395554830389194 2521700337550492 2606948658667248 2794813968787393 2881943242914848 2889295138942692 2971700928837228 3041440101778456 3049198877548299 3136165293219441 3194073107185592 3370844328766474 3396229632956832 3466984416976766 3484798717198056 3584188906536504 3782550506325738 3852393518590256 3962267905116304 4065598503397732 4181553724292588 4322914864372272 4562160152667684 4646398289597408 4778918542048672 4791109660778388 5043400675100984 5056266493149711 5200476625465149 5213897317334496 5589627937574786 5778590277885384 5943401857674456 6082880203556912 6098397755096598 6272330586438882 6388146214371184 6741688657532948 6933968833953532 6969597434396112 7114797380946031 7168377813073008 7565101012651476 7704787037180512 7924535810232608 8131197006795464 8363107448585176 8384441906362179 8645829728744544 9124320305335368 9582219321556776 10086801350201968 10112532986299422 10400953250930298 11179255875149572 11557180555770768 11797955150682659 11886803715348912 12165760407113824 12196795510193196 12544661172877764 12776292428742368 13483377315065896 13867937667907064 13939194868792224 14229594761892062 14336755626146016 15130202025302952 16262394013590928 16726214897170352 16768883812724358 18248640610670736 19021192998039389 19164438643113552 19563697781511751 20173602700403936 20225065972598844 20801906501860596 21344392142838093 22358511750299144 23114361111541536 23595910301365318 23773607430697824 24393591020386392 25089322345755528 26966754630131792 27735875335814128 28459189523784124 30260404050605904 31541471933457721 32524788027181856 33452429794340704 33537767625448716 35393865452047977 36497281221341472 38042385996078778 38328877286227104 39127395563023502 40450131945197688 41603813003721192 42688784285676186 44717023500598288 47191820602730636 48787182040772784 49803581666622217 50178644691511056 53933509260263584 55471750671628256 56918379047568248 57063578994118167 58691093344535253 60520808101211808 63082943866915442 67075535250897432 70787730904095954 76084771992157556 78254791126047004 80900263890395376 82585686054778613 83207626007442384 85377568571352372 89434047001196576 94383641205461272 94624415800373163 97574364081545568 99607163333244434 100357289383022112 113836758095136496 114127157988236334 117382186689070506 126165887733830884 133148350986275723 134151070501794864 136945884470582257 141575461808191908 149410744999866651 152169543984315112 156509582252094008 161800527780790752 165171372109557226 166415252014884768 170755137142704744 188767282410922544 189248831600746326 199214326666488868 220790303534204047 227673516190272992 228254315976472668 234764373378141012 247757058164335839 252331775467661768 266296701972551446 268302141003589728 273891768941164514 283150923616383816 298821489999733302 304339087968630224 313019164504188016 330342744219114452 341510274285409488 377534564821845088 378497663201492652 398428653332977736 399445052958827169 410837653411746771 441580607068408094 456508631952945336 469528746756282024 495514116328671678 504663550935323536 532593403945102892 547783537882329028 566301847232767632 597642979999466604 608678175937260448 626038329008376032 660685488438228904 662370910602612141 683020548570818976 756995326402985304 796857306665955472 798890105917654338 821675306823493542 883161214136816188 913017263905890672 932038456903930061 939057493512564048 991028232657343356 1009327101870647072 1065186807890205784 1095567075764658056 1132603694465535264 1195285959998933208 1321370976876457808 1324741821205224282 1513990652805970608 1545532124739428329 1593714613331910944 1597780211835308676 1643350613646987084 1766322428273632376 1826034527811781344 1864076913807860122 1878114987025128096 1982056465314686712 2130373615780411568 2191134151529316112 2390571919997866416 2491776282743159959 2642741953752915616 2649483642410448564 2796115370711790183 3027981305611941216 3091064249478856658 3195560423670617352 3286701227293974168 3532644856547264752 3728153827615720244 3964112930629373424 4260747231560823136 4382268303058632224 4636596374218284987 4781143839995732832 4983552565486319918 5298967284820897128 5592230741423580366 6182128498957713316 6391120847341234704 6524269198327510427 6573402454587948336 7065289713094529504 7456307655231440488 7475328848229479877 7928225861258746848 9273192748436569974 9967105130972639836 10597934569641794256 10818724873175998303 11184461482847160732 12364256997915426632 12782241694682469408 13048538396655020854 13146804909175896672 14912615310462880976 14950657696458959754 17442433979202119713 18546385496873139948 19572807594982531281 19934210261945279672 21195869139283588512 21637449746351996606 22368922965694321464 24728513995830853264 26097076793310041708 29825230620925761952 29901315392917919508 32456174619527994909 34884867958404239426 37092770993746279896 39145615189965062562 39868420523890559344 43274899492703993212 44737845931388642928 49457027991661706528 52194153586620083416 52327301937606359139 59802630785835839016 64912349239055989818 69769735916808478852 74185541987492559792 78291230379930125124 79736841047781118688 86549798985407986424 89475691862777285856 104388307173240166832 104654603875212718278 119605261571671678032 122097037854414837991 129824698478111979636 139539471833616957704 148371083974985119584 156582460759860250248 173099597970815972848 208776614346480333664 209309207750425436556 239210523143343356064 244194075708829675982 259649396956223959272 279078943667233915408 313164921519720500496 346199195941631945696 366291113563244513973 418618415500850873112 488388151417659351964 519298793912447918544 558157887334467830816 626329843039441000992 732582227126489027946 837236831001701746224 854679264980903865937 976776302835318703928 1038597587824895837088 1465164454252978055892 1674473662003403492448 1709358529961807731874 1953552605670637407856 2564037794942711597811 2930328908505956111784 3418717059923615463748 3907105211341274815712 5128075589885423195622 5860657817011912223568 6837434119847230927496 10256151179770846391244 11721315634023824447136 13674868239694461854992 20512302359541692782488 27349736479388923709984 41024604719083385564976 82049209438166771129952
- Sum of all divisors σ(n): 256348039691821222656000
- Sum of proper divisors (its aliquot sum) s(n): 174298830253654451526048
- 82049209438166771129952 is an abundant number, because the sum of its proper divisors (174298830253654451526048) is greater than itself. Its abundance is 92249620815487680396096
Bases of 82049209438166771129952
- Binary: 100010101111111100101100001001011010010101011100001100011000101011110011000002
- Hexadecimal: 0x115FE584B4AB86315E60
- Base-36: DCZVFE9YHOPGG2O
Squares and roots of 82049209438166771129952
- 82049209438166771129952 squared (820492094381667711299522) is 6732072769428155154583314938383737466871522304
- 82049209438166771129952 cubed (820492094381667711299523) is 552361248611790101155042296395773973296549257312715387093048450449408
-
The
square root of 82049209438166771129952 is 286442331784.5439742537 -
The
cube root of 82049209438166771129952 is 43453503.7496044947 - Being both a perfect square and a perfect cube, 82049209438166771129952 is also a
perfect sixth number .
Scales and comparisons
How big is 82049209438166771129952?- 82,049,209,438,166,771,129,952 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 82,049,209,438,166,771,129,952 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 82049209438166771129952 cubic inches would be around 3621125.3 feet tall.
Recreational maths with 82049209438166771129952
- 82049209438166771129952 backwards is 25992117766183490294028
- The number of decimal digits it has is: 23
- The sum of 82049209438166771129952's digits is 105
- More coming soon!
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The information we have on file for 82049209438166771129952 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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