137332864759889920
137,332,864,759,889,920 is an even composite number composed of five prime numbers multiplied together.
137332864759889920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 137332864759889920:
226 × 5 × 113 × 61 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 11 × 61 × 71 × 71)See below for interesting mathematical facts about the number 137332864759889920 from the Numbermatics database.
Names of 137332864759889920
- Cardinal: 137332864759889920 can be written as One hundred thirty-seven quadrillion, three hundred thirty-two trillion, eight hundred sixty-four billion, seven hundred fifty-nine million, eight hundred eighty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3733286475988992 × 1017
Factors of 137332864759889920
Divisors of 137332864759889920
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 64 71 80 88 110 121 122 128 142 160 176 220 242 244 256 284 305 320 352 355 440 484 488 512 568 605 610 640 671 704 710 781 880 968 976 1024 1136 1210 1220 1280 1331 1342 1408 1420 1562 1760 1936 1952 2048 2272 2420 2440 2560 2662 2684 2816 2840 3124 3355 3520 3872 3904 3905 4096 4331 4544 4840 4880 5041 5120 5324 5368 5632 5680 6248 6655 6710 7040 7381 7744 7808 7810 8192 8591 8662 9088 9680 9760 10082 10240 10648 10736 11264 11360 12496 13310 13420 14080 14762 15488 15616 15620 16384 17182 17324 18176 19360 19520 20164 20480 21296 21472 21655 22528 22720 24992 25205 26620 26840 28160 29524 30976 31232 31240 32768 34364 34648 36352 36905 38720 39040 40328 40960 42592 42944 42955 43310 45056 45440 47641 49984 50410 53240 53680 55451 56320 59048 61952 62464 62480 65536 68728 69296 72704 73810 77440 78080 80656 81191 81920 85184 85888 85910 86620 90112 90880 94501 95282 99968 100820 106480 107360 110902 112640 118096 123904 124928 124960 131072 137456 138592 145408 147620 154880 156160 161312 162382 163840 170368 171776 171820 173240 180224 181760 189002 190564 199936 201640 212960 214720 221804 225280 236192 238205 247808 249856 249920 262144 274912 277184 277255 290816 295240 307501 309760 312320 322624 324764 327680 340736 343552 343640 346480 360448 363520 378004 381128 399872 403280 405955 425920 429440 443608 450560 472384 472505 476410 495616 499712 499840 524051 524288 549824 554368 554510 581632 590480 609961 615002 619520 624640 645248 649528 655360 681472 687104 687280 692960 720896 727040 756008 762256 799744 806560 811910 851840 858880 887216 901120 944768 945010 952820 991232 999424 999680 1048102 1048576 1099648 1108736 1109020 1163264 1180960 1219922 1230004 1239040 1249280 1290496 1299056 1310720 1362944 1374208 1374560 1385920 1441792 1454080 1512016 1524512 1537505 1599488 1613120 1623820 1703680 1717760 1774432 1802240 1889536 1890020 1905640 1982464 1998848 1999360 2096204 2097152 2199296 2217472 2218040 2326528 2361920 2439844 2460008 2478080 2498560 2580992 2598112 2620255 2621440 2725888 2748416 2749120 2771840 2883584 2908160 3024032 3049024 3049805 3075010 3198976 3226240 3247640 3382511 3407360 3435520 3548864 3604480 3779072 3780040 3811280 3964928 3997696 3998720 4192408 4194304 4398592 4434944 4436080 4653056 4723840 4879688 4920016 4956160 4997120 5161984 5196224 5240510 5242880 5451776 5496832 5498240 5543680 5764561 5767168 5816320 6048064 6098048 6099610 6150020 6397952 6452480 6495280 6709571 6765022 6814720 6871040 7097728 7208960 7558144 7560080 7622560 7929856 7995392 7997440 8384816 8388608 8797184 8869888 8872160 9306112 9447680 9759376 9840032 9912320 9994240 10323968 10392448 10481020 10485760 10903552 10993664 10996480 11087360 11529122 11534336 11632640 12096128 12196096 12199220 12300040 12795904 12904960 12990560 13419142 13530044 13629440 13742080 14195456 14417920 15116288 15120160 15245120 15859712 15990784 15994880 16769632 16777216 16912555 17594368 17739776 17744320 18612224 18895360 19518752 19680064 19824640 19988480 20647936 20784896 20962040 20971520 21807104 21987328 21992960 22174720 23058244 23068672 23265280 24192256 24392192 24398440 24600080 25591808 25809920 25981120 26838284 27060088 27258880 27484160 28390912 28822805 28835840 30232576 30240320 30490240 31719424 31981568 31989760 33539264 33547855 33554432 33825110 35188736 35479552 35488640 37207621 37224448 37790720 39037504 39360128 39649280 39976960 41295872 41569792 41924080 41943040 43614208 43974656 43985920 44349440 46116488 46137344 46530560 48384512 48784384 48796880 49200160 51183616 51619840 51962240 53676568 54120176 54517760 54968320 56781824 57645610 57671680 60465152 60480640 60980480 63438848 63963136 63979520 67078528 67095710 67108864 67650220 70377472 70959104 70977280 74415242 74448896 75581440 78075008 78720256 79298560 79953920 82591744 83139584 83848160 83886080 87228416 87949312 87971840 88698880 92232976 92274688 93061120 96769024 97568768 97593760 98400320 102367232 103239680 103924480 107353136 108240352 109035520 109936640 113563648 115291220 115343360 120930304 120961280 121960960 126877696 127926272 127959040 134157056 134191420 135300440 140754944 141918208 141954560 148830484 148897792 151162880 156150016 157440512 158597120 159907840 165183488 166279168 167696320 167772160 174456832 175898624 175943680 177397760 184465952 184549376 186038105 186122240 193538048 195137536 195187520 196800640 204734464 206479360 207848960 214706272 216480704 218071040 219873280 227127296 230582440 230686720 241860608 241922560 243921920 253755392 255852544 255918080 268314112 268382840 270600880 281509888 283836416 283909120 297660968 297795584 302325760 312300032 314881024 317194240 319815680 330366976 332558336 335392640 335544320 348913664 351797248 351887360 354795520 368931904 369098752 372076210 372244480 387076096 390275072 390375040 393601280 409283831 409468928 412958720 415697920 429412544 432961408 436142080 439746560 454254592 461164880 461373440 483721216 483845120 487843840 507510784 511705088 511836160 536628224 536765680 541201760 563019776 567672832 567818240 595321936 595591168 604651520 624600064 629762048 634388480 639631360 660733952 665116672 670785280 697827328 703594496 703774720 709591040 737863808 738197504 744152420 744488960 774152192 780550144 780750080 787202560 818567662 818937856 825917440 831395840 858825088 865922816 872284160 879493120 908509184 922329760 922746880 967442432 967690240 975687680 1015021568 1023410176 1023672320 1073256448 1073531360 1082403520 1126039552 1135345664 1135636480 1190643872 1191182336 1209303040 1249200128 1259524096 1268776960 1279262720 1321467904 1330233344 1341570560 1395654656 1407188992 1407549440 1419182080 1475727616 1488304840 1488977920 1548304384 1561100288 1561500160 1574405120 1637135324 1637875712 1651834880 1662791680 1717650176 1731845632 1744568320 1758986240 1817018368 1844659520 1845493760 1934884864 1935380480 1951375360 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8189378560 8586051584 8588250880 8659228160 9008316416 9082765312 9085091840 9525150976 9674424320 9993601024 10076192768 10150215680 10234101760 10571743232 10641866752 10732564480 11165237248 11257511936 11260395520 11353456640 11805820928 11906438720 11911823360 12386435072 12488802304 12492001280 12595240960 13097082592 13103005696 13214679040 13302333440 13741201408 13854765056 13956546560 14071889920 14536146944 14757276160 15479078912 15483043840 15611002880 16371353240 16378757120 17172103168 17176501760 17318456320 18016632832 18165530624 18170183680 19050301952 19348848640 19987202048 20152385536 20300431360 20468203520 21143486464 21283733504 21465128960 22330474496 22515023872 22520791040 22706913280 23611641856 23812877440 23823646720 24772870144 24977604608 24984002560 25190481920 26194165184 26206011392 26429358080 26604666880 27482402816 27709530112 27913093120 28143779840 29072293888 29514552320 30958157824 30966087680 31222005760 32742706480 32757514240 34344206336 34353003520 34636912640 36033265664 36331061248 36340367360 38100603904 38697697280 39974404096 40304771072 40600862720 42286972928 42567467008 42930257920 44660948992 45030047744 45041582080 45413826560 47223283712 47625754880 49545740288 49955209216 49968005120 50380963840 52388330368 52412022784 52858716160 53209333760 54964805632 55419060224 55826186240 56287559680 58144587776 59029104640 61916315648 61932175360 62444011520 65485412960 65515028480 68688412672 68706007040 69273825280 72066531328 72662122496 72680734720 76201207808 77395394560 79948808192 80609542144 84573945856 85134934016 85860515840 89321897984 90083164160 90827653120 94446567424 95251509760 99091480576 99910418432 99936010240 100761927680 104776660736 105717432320 106418667520 109929611264 110838120448 111652372480 112575119360 116289175552 118058209280 123832631296 123864350720 124888023040 130970825920 131030056960 137376825344 137412014080 138547650560 144133062656 145324244992 145361469440 152402415616 154790789120 159897616384 161219084288 169147891712 170269868032 171721031680 180166328320 181655306240 188893134848 190503019520 198182961152 199820836864 199872020480 201523855360 209553321472 211434864640 212837335040 219859222528 221676240896 223304744960 225150238720 232578351104 236116418560 247665262592 247728701440 249776046080 261941651840 262060113920 274753650688 274824028160 277095301120 288266125312 290648489984 290722938880 304804831232 309581578240 319795232768 322438168576 338295783424 340539736064 343442063360 360332656640 363310612480 377786269696 381006039040 396365922304 399641673728 399744040960 403047710720 419106642944 422869729280 425674670080 439718445056 443352481792 446609489920 465156702208 472232837120 495330525184 495457402880 499552092160 523883303680 549507301376 549648056320 554190602240 576532250624 581445877760 609609662464 619163156480 639590465536 644876337152 681079472128 686884126720 720665313280 726621224960 755572539392 762012078080 792731844608 799283347456 799488081920 806095421440 838213285888 845739458560 851349340160 879436890112 886704963584 930313404416 944465674240 990914805760 999104184320 1047766607360 1099014602752 1099296112640 1108381204480 1162891755520 1219219324928 1238326312960 1279180931072 1289752674304 1362158944256 1373768253440 1441330626560 1453242449920 1511145078784 1524024156160 1585463689216 1598566694912 1598976163840 1612190842880 1676426571776 1691478917120 1702698680320 1758873780224 1773409927168 1860626808832 1888931348480 1981829611520 1998208368640 2095533214720 2198029205504 2198592225280 2216762408960 2325783511040 2438438649856 2476652625920 2558361862144 2579505348608 2724317888512 2747536506880 2882661253120 3022290157568 3048048312320 3170927378432 3197133389824 3197952327680 3224381685760 3352853143552 3405397360640 3517747560448 3546819854336 3721253617664 3777862696960 3963659223040 3996416737280 4191066429440 4396058411008 4397184450560 4433524817920 4651567022080 4876877299712 5116723724288 5159010697216 5448635777024 5495073013760 6044580315136 6096096624640 6341854756864 6395904655360 6448763371520 6705706287104 6810794721280 7035495120896 7093639708672 7555725393920 7927318446080 7992833474560 8382132858880 8792116822016 8794368901120 8867049635840 9303134044160 9753754599424 10233447448576 10318021394432 10990146027520 12089160630272 12192193249280 12791809310720 12897526743040 13411412574208 13621589442560 14070990241792 14187279417344 15111450787840 15854636892160 15985666949120 16764265717760 17584233644032 17588737802240 17734099271680 18606268088320 19507509198848 20466894897152 20636042788864 21980292055040 24178321260544 24384386498560 25583618621440 25795053486080 26822825148416 27243178885120 28141980483584 28374558834688 30222901575680 31709273784320 33528531435520 35168467288064 35177475604480 35468198543360 39015018397696 40933789794304 43960584110080 48356642521088 48768772997120 51167237242880 51590106972160 53645650296832 56283960967168 56749117669376 60445803151360 67057062871040 70354951208960 70936397086720 78030036795392 87921168220160 96713285042176 97537545994240 102334474485760 103180213944320 107291300593664 112567921934336 113498235338752 120891606302720 134114125742080 140709902417920 141872794173440 156060073590784 175842336440320 193426570084352 195075091988480 204668948971520 214582601187328 225135843868672 226996470677504 241783212605440 268228251484160 281419804835840 283745588346880 312120147181568 386853140168704 390150183976960 429165202374656 450271687737344 483566425210880 536456502968320 562839609671680 567491176693760 624240294363136 780300367953920 858330404749312 967132850421760 1072913005936640 1125679219343360 1134982353387520 1248480588726272 1560600735907840 1716660809498624 1934265700843520 2145826011873280 2251358438686720 2496961177452544 3121201471815680 3433321618997248 4291652023746560 6242402943631360 6866643237994496 8583304047493120 12484805887262720 13733286475988992 17166608094986240 27466572951977984 34333216189972480 68666432379944960 137332864759889920
- Sum of all divisors σ(n): 373740092738939808
- Sum of proper divisors (its aliquot sum) s(n): 236407227979049888
- 137332864759889920 is an abundant number, because the sum of its proper divisors (236407227979049888) is greater than itself. Its abundance is 99074363219159968
Bases of 137332864759889920
- Binary: 1111001111110011110000011010011000000000000000000000000002
- Hexadecimal: 0x1E7E7834C000000
- Base-36: 11K8FR3SJPJ4
Squares and roots of 137332864759889920
- 137332864759889920 squared (1373328647598899202) is 18860315743158214654094450517606400
- 137332864759889920 cubed (1373328647598899203) is 2590141191283969844816796496931829012997485887488000
-
The
square root of 137332864759889920 is 370584490.7168808111 -
The
cube root of 137332864759889920 is 515930.8451979625
Scales and comparisons
How big is 137332864759889920?- 137,332,864,759,889,920 seconds is equal to 4,366,760,300 years, 47 weeks, 6 days, 18 hours, 18 minutes, 40 seconds.
-
To count from 1 to 137,332,864,759,889,920 would take you about thirteen billion, one hundred million, two hundred eighty thousand, nine hundred two 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 137332864759889920 cubic inches would be around 42994.2 feet tall.
Recreational maths with 137332864759889920
- 137332864759889920 backwards is 029988957468233731
- The number of decimal digits it has is: 18
- The sum of 137332864759889920's digits is 94
- More coming soon!
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"Number 137332864759889920 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 137332864759889920 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/137332864759889920/
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The information we have on file for 137332864759889920 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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