137426285051890249728

Names of 137426285051890249728

• Cardinal: 137426285051890249728 can be written as One hundred thirty-seven quintillion, four hundred twenty-six quadrillion, two hundred eighty-five trillion, fifty-one billion, eight hundred ninety million, two hundred forty-nine thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37426285051890249728 × 10²⁰

Factors of 137426285051890249728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 1286

Divisors of 137426285051890249728

• Number of divisors d(n): 1170
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 41 48 53 64 82 96 106 123 128 159 164 192 212 246 256 318 328 384 424 492 512 636 656 768 848 984 1024 1187 1272 1312 1536 1681 1696 1968 2048 2173 2374 2544 2624 2809 3072 3362 3392 3561 3936 4096 4346 4748 5043 5088 5248 5618 6144 6519 6724 6784 7122 7872 8427 8692 9496 10086 10176 10496 11236 12288 13038 13448 13568 14244 15744 16854 17384 18992 20172 20352 20992 22472 26076 26896 27136 28488 31488 33708 34768 37984 40344 40704 41984 44944 48667 52152 53792 54272 56976 62911 62976 67416 68921 69536 75968 80688 81408 83968 89093 89888 97334 104304 107584 108544 113952 115169 125822 125952 134832 137842 139072 146001 151936 161376 162816 167936 178186 179776 188733 194668 206763 208608 215168 217088 227904 230338 251644 251904 267279 269664 275684 278144 292002 303872 322752 325632 345507 356372 359552 377466 389336 413526 417216 430336 455808 460676 503288 503808 534558 539328 551368 556288 584004 607744 645504 651264 691014 712744 719104 754932 778672 827052 834432 860672 911616 921352 1006576 1069116 1078656 1102736 1112576 1168008 1215488 1291008 1382028 1408969 1425488 1438208 1509864 1557344 1654104 1668864 1721344 1823232 1842704 1995347 2013152 2138232 2157312 2205472 2225152 2336016 2430976 2579351 2582016 2764056 2817938 2825761 2850976 2876416 3019728 3114688 3308208 3334283 3337728 3442688 3646464 3652813 3685408 3990694 4026304 4226907 4276464 4314624 4410944 4450304 4672032 4721929 4861952 5158702 5164032 5528112 5635876 5651522 5701952 5752832 5986041 6039456 6229376 6616416 6668566 6675456 6885376 7292928 7305626 7370816 7738053 7981388 8052608 8453814 8477283 8552928 8629248 8821888 8900608 9344064 9443858 10002849 10317404 10328064 10958439 11056224 11271752 11303044 11403904 11505664 11972082 12078912 12458752 13232832 13337132 13350912 14165787 14585856 14611252 14741632 15476106 15962776 16105216 16907628 16954566 17105856 17258496 17643776 18688128 18887716 20005698 20634808 20656128 21916878 22112448 22543504 22606088 22807808 23944164 24157824 24917504 26465664 26674264 26701824 28331574 29222504 29483264 30952212 31925552 32210432 33815256 33909132 34211712 34516992 35287552 37376256 37775432 40011396 41269616 43833756 44224896 45087008 45212176 45615616 47888328 48315648 49835008 52931328 53348528 56663148 57767729 58445008 58966528 61904424 63851104 64420864 67630512 67818264 68423424 70575104 74675357 74752512 75550864 80022792 81809227 82539232 87667512 88449792 90174016 90424352 91231232 95776656 96631296 99670016 105753391 105862656 106697056 113326296 115535458 116890016 117933056 123808848 127702208 128841728 135261024 135636528 136705603 136846848 141150208 149350714 149505024 149765333 151101728 160045584 163618454 165078464 173303187 175335024 176899584 180348032 180848704 182462464 191553312 193262592 193599089 199340032 211506782 211725312 213394112 224026071 226652592 231070916 233780032 235866112 245427681 247617696 255404416 257683456 270522048 271273056 273411206 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355542900542 358715502272 376587825351 379948216416 381003007152 388430209796 391896273536 396490934272 416245346976 419959612416 429334823296 433165889536 454747562688 458805393408 459604237286 460079102976 486808652283 502117100468 502635890688 506597621888 508004009536 533314350813 538073253408 554993795968 559946149888 582645314694 587844410304 594736401408 606330083584 613438803968 644002234944 649078203044 649748834304 689406355929 709849853952 711085801084 717431004544 753175650702 759896432832 762006014304 776860419592 783792547072 792981868544 832490693952 839919224832 858669646592 909495125376 917610786816 919208474572 920158205952 973617304566 1004234200936 1005271781376 1013195243776 1016008019072 1066628701626 1076146506816 1109987591936 1165290629388 1175688820608 1189472802816 1212660167168 1288004469888 1298156406088 1299497668608 1378812711858 1422171602168 1434862009088 1506351301404 1519792865664 1524012028608 1553720839184 1567585094144 1664981387904 1679838449664 1717339293184 1818990250752 1838416949144 1840316411904 1947234609132 2008468401872 2026390487552 2032016038144 2133257403252 2152293013632 2219975183872 2330581258776 2351377641216 2378945605632 2425320334336 2576008939776 2596312812176 2757625423716 2844343204336 2869724018176 3012702602808 3039585731328 3048024057216 3107441678368 3135170188288 3329962775808 3434678586368 3637980501504 3676833898288 3894469218264 3981409650409 4016936803744 4052780975104 4064032076288 4266514806504 4304586027264 4439950367744 4661162517552 4702755282432 4850640668672 5146700279797 5152017879552 5192625624352 5515250847432 5688686408672 5739448036352 6025405205616 6079171462656 6096048114432 6214883356736 6270340376576 6653051581201 6659925551616 6869357172736 7275961003008 7353667796576 7788938436528 7962819300818 8033873607488 8105561950208 8128064152576 8533029613008 8609172054528 8879900735488 9322325035104 9405510564864 9421886864363 9701281337344 10293400559594 10304035759104 10385251248704 11030501694864 11377372817344 11478896072704 11944228951227 12050810411232 12158342925312 12192096228864 12429766713472 12540680753152 13306103162402 13319851103232 13738714345472 14551922006016 14707335593152 15440100839391 15577876873056 15925638601636 16067747214976 16211123900416 16256128305152 17066059226016 17218344109056 17759801470976 18644650070208 18811021129728 18843773728726 19959154743603 20586801119188 20608071518208 20770502497408 22061003389728 22754745634688 22957792145408 23888457902454 24101620822464 24316685850624 24384192457728 24859533426944 26612206324804 26639702206464 28265660593089 29103844012032 29414671186304 30880201678782 31155753746112 31851277203272 32135494429952 32512256610304 34132118452032 34436688218112 37289300140416 37622042259456 37687547457452 39918309487206 41173602238376 41216143036416 41541004994816 44122006779456 45509491269376 47776915804908 48203241644928 48633371701248 48768384915456 49719066853888 53224412649608 53279404412928 56531321186178 58829342372608 61760403357564 62311507492224 63702554406544 64270988859904 68264236904064 68873376436224 74578600280832 75375094914904 79836618974412 82347204476752 83082009989632 88244013558912 91018982538752 95553831609816 96406483289856 97536769830912 99438133707776 106448825299216 113062642372356 117658684745216 123520806715128 124623014984448 127405108813088 128541977719808 136528473808128 149157200561664 150750189829808 159673237948824 164694408953504 166164019979264 176488027117824 182037965077504 191107663219632 192812966579712 198876267415552 211014711471677 212897650598432 226125284744712 235317369490432 247041613430256 249246029968896 254810217626176 257083955439616 272775114829241 273056947616256 298314401123328 301500379659616 319346475897648 329388817907008 332328039958528 352976054235648 364075930155008 382215326439264 385625933159424 397752534831104 422029422943354 425795301196864 452250569489424 470634738980864 494083226860512 498492059937792 509620435252352 514167910879232 545550229658482 546113895232512 596628802246656 603000759319232 633044134415031 638692951795296 658777635814016 664656079917056 705952108471296 728151860310016 764430652878528 771251866318848 818325344487723 844058845886708 851590602393728 904501138978848 941269477961728 988166453721024 996984119875584 1019240870504704 1091100459316964 1092227790465024 1193257604493312 1206001518638464 1266088268830062 1277385903590592 1317555271628032 1411904216942592 1528861305757056 1542503732637696 1636650688975446 1688117691773416 1703181204787456 1809002277957696 1976332907442048 1993968239751168 2038481741009408 2182200918633928 2184455580930048 2412003037276928 2532176537660124 2554771807181184 2635110543256064 2823808433885184 3057722611514112 3273301377950892 3376235383546832 3406362409574912 3618004555915392 3952665814884096 4076963482018816 4364401837267856 4824006074553856 5064353075320248 5109543614362368 5270221086512128 6115445223028224 6546602755901784 6752470767093664 6812724819149824 7236009111830784 7905331629768192 8153926964037632 8728803674535712 9648012149107712 10128706150640496 10219087228724736 10540442173024256 11183779707998881 12230890446056448 13093205511803568 13504941534187328 13625449638299648 14472018223661568 15810663259536384 16307853928075264 17457607349071424 19296024298215424 20257412301280992 20438174457449472 21080884346048512 22367559415997762 24461780892112896 26186411023607136 27009883068374656 27250899276599296 28944036447323136 31621326519072768 33551339123996643 34915214698142848 38592048596430848 40514824602561984 40876348914898944 44735118831995524 48923561784225792 52372822047214272 54019766136749312 57888072894646272 63242653038145536 67102678247993286 69830429396285696 81029649205123968 81752697829797888 89470237663991048 104745644094428544 108039532273498624 115776145789292544 134205356495986572 139660858792571392 162059298410247936 178940475327982096 209491288188857088 216079064546997248 268410712991973144 279321717585142784 324118596820495872 357880950655964192 418982576377714176 432158129093994496 536821425983946288 558643435170285568 648237193640991744 715761901311928384 837965152755428352 864316258187988992 1073642851967892576 1117286870340571136 1296474387281983488 1431523802623856768 1675930305510856704 2147285703935785152 2592948774563966976 2863047605247713536 3351860611021713408 4294571407871570304 5726095210495427072 8589142815743140608 11452190420990854144 17178285631486281216 22904380841981708288 34356571262972562432 45808761683963416576 68713142525945124864 137426285051890249728
• Sum of all divisors σ(n): 383128995861310569220
• Sum of proper divisors (its aliquot sum) s(n): 245702710809420319492
• 137426285051890249728 is an abundant number, because the sum of its proper divisors (245702710809420319492) is greater than itself. Its abundance is 108276425757530069764

Bases of 137426285051890249728

• Binary: 1110111001100101100001111100010001110010111011111100011000000000000₂
• Hexadecimal: 0x7732C3E23977E3000
• Base-36: T03M8B7180GLC

Squares and roots of 137426285051890249728

• 137426285051890249728 squared (137426285051890249728²) is 18885983823163393498375198976834204073984
• 137426285051890249728 cubed (137426285051890249728³) is 2595430596367440533417773811100746363969103205691144747876352
• The square root of 137426285051890249728 is 11722895762.2206233507
• The cube root of 137426285051890249728 is 5160478.0551303103

Scales and comparisons

• 137,426,285,051,890,249,728 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,426,285,051,890,249,728 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 137426285051890249728 cubic inches would be around 430039.8 feet tall.

Recreational maths with 137426285051890249728

• 137426285051890249728 backwards is 827942098150582624731
• The number of decimal digits it has is: 21
• The sum of 137426285051890249728's digits is 93
• More coming soon!