137842023622052594944
137,842,023,622,052,594,944 is an even composite number composed of four prime numbers multiplied together.
What does the number 137842023622052594944 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 900 divisors.
137842023622052594944 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 137842023622052594944:
28 × 114 × 734 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 11 × 11 × 73 × 73 × 73 × 73 × 109 × 109 × 109)See below for interesting mathematical facts about the number 137842023622052594944 from the Numbermatics database.
Names of 137842023622052594944
- Cardinal: 137842023622052594944 can be written as One hundred thirty-seven quintillion, eight hundred forty-two quadrillion, twenty-three trillion, six hundred twenty-two billion, fifty-two million, five hundred ninety-four thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.37842023622052594944 × 1020
Factors of 137842023622052594944
Divisors of 137842023622052594944
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 4 8 11 16 22 32 44 64 73 88 109 121 128 146 176 218 242 256 292 352 436 484 584 704 803 872 968 1168 1199 1331 1408 1606 1744 1936 2336 2398 2662 2816 3212 3488 3872 4672 4796 5324 5329 6424 6976 7744 7957 8833 9344 9592 10648 10658 11881 12848 13189 13952 14641 15488 15914 17666 18688 19184 21296 21316 23762 25696 26378 27904 29282 30976 31828 35332 38368 42592 42632 47524 51392 52756 58564 58619 63656 70664 76736 85184 85264 87527 95048 97163 102784 105512 117128 117238 127312 130691 141328 145079 153472 170368 170528 175054 190096 194326 205568 211024 234256 234476 254624 261382 282656 290158 306944 340736 341056 350108 380192 388652 389017 422048 468512 468952 509248 522764 565312 580316 580861 644809 682112 700216 760384 777304 778034 844096 867313 937024 937904 962797 1018496 1045528 1068793 1130624 1160632 1161722 1289618 1295029 1364224 1400432 1437601 1520768 1554608 1556068 1595869 1688192 1734626 1874048 1875808 1925594 2036992 2091056 2137586 2261248 2321264 2323444 2579236 2590058 2800864 2875202 3041536 3109216 3112136 3191738 3376384 3469252 3748096 3751616 3851188 4182112 4275172 4279187 4642528 4646888 5158472 5180116 5601728 5750404 6218432 6224272 6383476 6389471 6938504 7092899 7503232 7702376 8364224 8550344 8558374 9285056 9293776 9540443 10316944 10360232 10590767 11203456 11500808 12436864 12448544 12766952 12778942 13877008 14185798 14245319 15006464 15404752 15813611 16728448 17100688 17116748 18570112 18587552 19080886 20633888 20720464 21181534 22406912 23001616 24873728 24897088 25533904 25557884 27754016 28371596 28398241 28490638 30809504 31627222 33456896 34201376 34233496 37140224 37175104 38161772 41267776 41440928 42363068 42402853 46003232 47071057 49794176 51067808 51115768 55508032 56743192 56796482 56981276 61619008 63254444 63313849 68402752 68466992 70284181 74350208 76323544 78021889 82535552 82881856 84726136 84805706 92006464 94142114 94537117 99588352 102135616 102231536 104944873 111016064 113486384 113592964 113962552 116498437 123238016 126508888 126627698 136805504 136933984 140568362 148700416 152647088 156043778 156698509 165071104 165763712 169452272 169611412 173949721 184012928 188284228 189074234 204271232 204463072 209889746 222032128 226972768 227185928 227925104 232996874 246476032 253017776 253255396 273611008 273867968 281136724 305294176 312087556 312380651 313397018 331527424 338904544 339222824 347899442 368025856 376568456 378148468 408542464 408926144 419779492 453945536 454371856 455850208 465993748 466431383 506035552 506510792 517781627 547735936 562273448 610588352 624175112 624761302 626794036 677809088 678445648 695798884 696452339 753136912 756296936 773125991 817852288 839558984 907891072 908743712 911700416 931987496 932862766 1012071104 1013021584 1035563254 1039908287 1095471872 1124546896 1154393603 1221176704 1248350224 1249522604 1253588072 1355618176 1356891296 1391597768 1392904678 1506273824 1512593872 1546251982 1635704576 1679117968 1723683599 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17008771802 17992750336 18470297648 18487643908 18960519589 19973603584 19992361664 20057409152 20522980852 22265564288 22286474848 22782391588 22877982314 24201501952 24740031712 24763266152 25396659266 26865887488 27489497288 27578937584 27604838164 29823599872 29851608512 30643902916 33138024128 33277065184 34017543604 34049490959 36940595296 36975287816 37798058771 37921039178 39984723328 40114818304 41045961704 44531128576 44572949696 45564783176 45755964628 49480063424 49526532304 50793318532 50841020747 54978994576 55157875168 55209676328 56438197343 59703217024 61287805832 66276048256 66554130368 68035087208 68098981918 73881190592 73950575632 75596117542 75842078356 75913304951 79969446656 82091923408 84270733019 89145899392 91129566352 91511929256 98960126848 99053064608 101586637064 101682041494 109957989152 110315750336 110419352656 112876394686 119406434048 122575611664 125828902727 132552096512 133108260736 136070174416 136197963836 147762381184 147901151264 151192235084 151684156712 151826609902 164183846816 168541466038 178291798784 182259132704 183023858512 197920253696 198106129216 203173274128 203364082988 219915978304 220631500672 220838705312 225752789372 245151223328 251657805454 266216521472 272140348832 272395927672 295524762368 295802302528 302384470168 303368313424 303653219804 328367693632 337082932076 337399501321 364518265408 366047717024 374544400549 396212258432 406346548256 406728165976 415778646481 439831956608 441263001344 441677410624 451505578744 490302446656 503315610908 503788296493 544280697664 544791855344 559251228217 591604605056 604768940336 606736626848 607306439608 620820170773 656735387264 674165864152 674799002642 729036530816 732095434048 749088801098 792424516864 812693096512 813456331952 831557292962 835046354461 879663913216 883354821248 903011157488 926978063209 980604893312 1006631221816 1007576592986 1088561395328 1089583710688 1118502456434 1183209210112 1209537880672 1213473253696 1214612879216 1241640341546 1313470774528 1348331728304 1349598005284 1384117929997 1458073061632 1464190868096 1498177602196 1625386193024 1626912663904 1663114585924 1670092708922 1766709642496 1806022314976 1853956126418 1961209786624 2013262443632 2015153185972 2177122790656 2179167421376 2237004912868 2419075761344 2426946507392 2429225758432 2483280683092 2696663456608 2699196010568 2768235859994 2928381736192 2996355204392 3250772386048 3253825327808 3326229171848 3340185417844 3612044629952 3707912252836 3711394514531 4026524887264 4030306371944 4119988406039 4358334842752 4474009825736 4838151522688 4853893014784 4858451516864 4966561366184 5393326913216 5398392021136 5536471719988 5541671261423 5992710408784 6151763510387 6507650655616 6652458343696 6680370835688 7224089259904 7415824505672 7422789029062 8053049774528 8060612743888 8239976812078 8716669685504 8948019651472 9185509899071 9676303045376 9716903033728 9933122732368 10786653826432 10796784042272 11072943439976 11083342522846 11985420817568 12303527020774 13015301311232 13304916687392 13360741671376 14448178519808 14831649011344 14845578058124 16106099549056 16121225487776 16479953624156 17896039302944 18371019798142 19433806067456 19866245464736 21573307652864 21593568084544 22145886879952 22166685045692 23970841635136 24607054041548 26609833374784 26721483342752 29663298022688 29691156116248 32212199098112 32242450975552 32959907248312 35792078605888 36742039596284 36776545643989 39732490929472 40825339659841 43187136169088 44291773759904 44333370091384 45319872466429 47941683270272 49214108083096 53219666749568 53442966685504 59326596045376 59382312232496 60958383875653 64484901951104 65919814496624 67669398614257 71584157211776 73484079192568 73553091287978 79464981858944 81650679319682 86374272338176 88583547519808 88666740182768 90639744932858 95883366540544 98428216166192 101040608889781 106439333499136 106885933371008 118653192090752 118764624464992 121916767751306 128969803902208 131839628993248 135338797228514 143168314423552 146968158385136 147106182575956 158929963717888 163301358639364 177167095039616 177333480365536 181279489865716 196856432332384 202081217779562 213771866742016 237306384181504 237529248929984 243833535502612 263679257986496 270677594457028 293936316770272 294212365151912 326602717278728 354334190079232 354666960731072 362558979731432 393712864664768 404162435559124 404542002083879 449078736258251 475058497859968 487667071005224 527358515972992 541355188914056 587872633540544 588424730303824 653205434557456 670542222632183 709333921462144 725117959462864 787425729329536 808324871118248 809084004167758 898157472516502 950116995719936 975334142010448 1054717031945984 1082710377828112 1175745267081088 1176849460607648 1306410869114912 1341084445264366 1418667842924288 1450235918925728 1574851458659072 1616649742236496 1618168008335516 1796314945033004 1950668284020896 2165420755656224 2351490534162176 2353698921215296 2612821738229824 2682168890528732 2900471837851456 3233299484472992 3236336016671032 3592629890066008 3901336568041792 4330841511312448 4449962022922669 4707397842430592 4939866098840761 5225643476459648 5364337781057464 5800943675702912 6466598968945984 6472672033342064 7185259780132016 7375964448954013 7802673136083584 8661683022624896 8899924045845338 9414795684861184 9879732197681522 10451286952919296 10728675562114928 11601887351405824 12933197937891968 12945344066684128 14370519560264032 14751928897908026 15605346272167168 17323366045249792 17799848091690676 19759464395363044 21457351124229856 25866395875783936 25890688133368256 28741039120528064 29503857795816052 35599696183381352 39518928790726088 42914702248459712 48949582252149359 51781376266736512 57482078241056128 59007715591632104 71199392366762704 79037857581452176 85829404496919424 97899164504298718 103562752533473024 114964156482112256 118015431183264208 142398784733525408 158075715162904352 171658808993838848 195798329008597436 236030862366528416 284797569467050816 316151430325808704 391596658017194872 472061724733056832 538445404773642949 569595138934101632 632302860651617408 783193316034389744 944123449466113664 1076890809547285898 1139190277868203264 1264605721303234816 1566386632068779488 1888246898932227328 2153781619094571796 3132773264137558976 4307563238189143592 6265546528275117952 8615126476378287184 12531093056550235904 17230252952756574368 34460505905513148736 68921011811026297472 137842023622052594944
- Sum of all divisors σ(n): 309703181269806424100
- Sum of proper divisors (its aliquot sum) s(n): 171861157647753829156
- 137842023622052594944 is an abundant number, because the sum of its proper divisors (171861157647753829156) is greater than itself. Its abundance is 34019134025701234212
Bases of 137842023622052594944
- Binary: 11101111000111100010011111000101010011110010111001011000101000000002
- Hexadecimal: 0x778F13E2A7972C500
- Base-36: T39BRC1JUVU9S
Squares and roots of 137842023622052594944
- 137842023622052594944 squared (1378420236220525949442) is 19000423476222505585910494300564134363136
- 137842023622052594944 cubed (1378420236220525949443) is 2619056821638465296509809513768888426446124927813829613584384
-
The
square root of 137842023622052594944 is 11740614277.8839555463 -
The
cube root of 137842023622052594944 is 5165676.5996504751
Scales and comparisons
How big is 137842023622052594944?- 137,842,023,622,052,594,944 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,842,023,622,052,594,944 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 137842023622052594944 cubic inches would be around 430473 feet tall.
Recreational maths with 137842023622052594944
- 137842023622052594944 backwards is 449495250226320248731
- The number of decimal digits it has is: 21
- The sum of 137842023622052594944's digits is 82
- More coming soon!
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"Number 137842023622052594944 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 137842023622052594944 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/137842023622052594944/
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Numbermatics. 2024. "Number 137842023622052594944 - Facts about the integer". https://numbermatics.com/n/137842023622052594944/
The information we have on file for 137842023622052594944 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!
Keywords: Divisors of 137842023622052594944, math, Factors of 137842023622052594944, curriculum, school, college, exams, university, Prime factorization of 137842023622052594944, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, eight hundred forty-two quadrillion, twenty-three trillion, six hundred twenty-two billion, fifty-two million, five hundred ninety-four thousand, nine hundred forty-four.