137372516865048576
137,372,516,865,048,576 is an even composite number composed of five prime numbers multiplied together.
What does the number 137372516865048576 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
137372516865048576 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 137372516865048576:
215 × 3 × 172 × 193 × 893
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 17 × 19 × 19 × 19 × 89 × 89 × 89)See below for interesting mathematical facts about the number 137372516865048576 from the Numbermatics database.
Names of 137372516865048576
- Cardinal: 137372516865048576 can be written as One hundred thirty-seven quadrillion, three hundred seventy-two trillion, five hundred sixteen billion, eight hundred sixty-five million, forty-eight thousand, five hundred seventy-six.
Scientific notation
- Scientific notation: 1.37372516865048576 × 1017
Factors of 137372516865048576
Divisors of 137372516865048576
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 89 96 102 114 128 136 152 178 192 204 228 256 267 272 289 304 323 356 361 384 408 456 512 534 544 578 608 646 712 722 768 816 867 912 969 1024 1068 1083 1088 1156 1216 1292 1424 1444 1513 1536 1632 1691 1734 1824 1938 2048 2136 2166 2176 2312 2432 2584 2848 2888 3026 3072 3264 3382 3468 3648 3876 4096 4272 4332 4352 4539 4624 4864 5073 5168 5491 5696 5776 6052 6137 6144 6528 6764 6859 6936 7296 7752 7921 8192 8544 8664 8704 9078 9248 9728 10146 10336 10982 11392 11552 12104 12274 12288 13056 13528 13718 13872 14592 15504 15842 16384 16473 17088 17328 17408 18156 18411 18496 19456 20292 20577 20672 21964 22784 23104 23763 24208 24548 24576 25721 26112 27056 27436 27744 28747 29184 31008 31684 32129 32768 32946 34176 34656 34816 36312 36822 36992 38912 40584 41154 41344 43928 45568 46208 47526 48416 49096 49152 51442 52224 54112 54872 55488 57494 58368 62016 63368 64258 65892 68352 69312 69632 72624 73644 73984 77163 77824 81168 82308 82688 86241 87856 91136 92416 95052 96387 96832 98192 98304 102884 104329 104448 108224 109744 110976 114988 116603 116736 124032 126736 128516 131784 134657 136704 138624 139264 145248 147288 147968 150499 154326 155648 162336 164616 165376 172482 175712 182272 184832 190104 192774 193664 196384 205768 208658 208896 216448 219488 221952 229976 233206 233472 248064 253472 257032 263568 269314 273408 277248 278528 290496 294576 295936 300998 308652 311296 312987 324672 329232 330752 344964 349809 351424 364544 369664 380208 385548 387328 392768 403971 411536 417316 417792 432896 438976 443904 451497 459952 466412 466944 488699 496128 506944 514064 527136 538628 546193 546816 554496 557056 580992 589152 591872 601996 610451 617304 622592 625974 649344 658464 661504 689928 699618 702848 704969 729088 739328 760416 771096 774656 785536 807942 823072 834632 835584 865792 877952 887808 902994 919904 932824 933888 977398 992256 1013888 1028128 1054272 1077256 1092386 1093632 1108992 1161984 1178304 1183744 1203992 1220902 1234608 1251948 1298688 1316928 1323008 1379856 1399236 1405696 1409938 1458176 1466097 1478656 1520832 1542192 1549312 1571072 1615884 1638579 1646144 1669264 1671168 1731584 1755904 1775616 1805988 1831353 1839808 1865648 1867776 1954796 1982251 1984512 2027776 2056256 2108544 2114907 2154512 2184772 2187264 2217984 2289169 2323968 2356608 2367488 2407984 2441804 2469216 2503896 2558483 2597376 2633856 2646016 2759712 2798472 2811392 2819876 2859481 2916352 2932194 2957312 3041664 3084384 3098624 3142144 3231768 3277158 3292288 3338528 3463168 3511808 3551232 3611976 3662706 3679616 3731296 3909592 3964502 3969024 4055552 4112512 4217088 4229814 4309024 4369544 4374528 4435968 4578338 4647936 4713216 4734976 4815968 4883608 4938432 5007792 5116966 5194752 5267712 5292032 5519424 5596944 5622784 5639752 5718962 5864388 5914624 5946753 6083328 6168768 6197248 6284288 6463536 6554316 6584576 6677056 6867507 6926336 7023616 7102464 7223952 7325412 7359232 7462592 7675449 7819184 7929004 7938048 8111104 8225024 8434176 8459628 8578443 8618048 8739088 8749056 8871936 9156676 9285281 9295872 9426432 9469952 9631936 9767216 9876864 10015584 10233932 10377667 10389504 10535424 10584064 11038848 11193888 11245568 11279504 11437924 11728776 11829248 11893506 11984473 12166656 12337536 12394496 12568576 12927072 13108632 13169152 13354112 13394411 13735014 13852672 14047232 14204928 14447904 14650824 14718464 14925184 15350898 15638368 15858008 15876096 16222208 16450048 16868352 16919256 17156886 17236096 17478176 17743872 18313352 18570562 18591744 18852864 19263872 19534432 19753728 20031168 20467864 20755334 20779008 21070848 22077696 22387776 22491136 22559008 22875848 23457552 23787012 23968946 24333312 24675072 24788992 25137152 25854144 26217264 26338304 26708224 26788822 27470028 27705344 27855843 28094464 28409856 28895808 29301648 29436928 29850368 30701796 31133001 31276736 31716016 31752192 32444416 32900096 33736704 33838512 34313772 34472192 34956352 35487744 35953419 36626704 37141124 37183488 37705728 38527744 39068864 39507456 40062336 40183233 40935728 41510668 41558016 42141696 43494211 44155392 44775552 44982272 45118016 45751696 46915104 47574024 47937892 48611177 48666624 49350144 49577984 50274304 51708288 52434528 52676608 53416448 53577644 54330139 54940056 55410688 55711686 56188928 57791616 58603296 58873856 59700736 61403592 62266002 62553472 63432032 64888832 65800192 67473408 67677024 68627544 68944384 69912704 71906838 73253408 74282248 74366976 75411456 77055488 78137728 79014912 80124672 80366466 81871456 83021336 83116032 84283392 86988422 88310784 89551104 89964544 90236032 91503392 93830208 95148048 95875784 97222354 97333248 98700288 100548608 103416576 104869056 105353216 106832896 107155288 108660278 109880112 111423372 112377856 115583232 117206592 117747712 119401472 122807184 124532004 125106944 126864064 129777664 130482633 131600384 134946816 135354048 137255088 137888768 139825408 143813676 145833531 146506816 148564496 148733952 150822912 154110976 156275456 158029824 160249344 160732932 162990417 163742912 166042672 166232064 168566784 173976844 176420339 176621568 179102208 179929088 180472064 183006784 187660416 190296096 191751568 194444708 194666496 197400576 201097216 203736041 206833152 209738112 210706432 213665792 214310576 217320556 219760224 222846744 224755712 227704987 231166464 234413184 235495424 238802944 245614368 249064008 250213888 253728128 254493809 259555328 260965266 263200768 269893632 270708096 274510176 275777536 279650816 287627352 291667062 293013632 297128992 301645824 308221952 312550912 316059648 320498688 321465864 325980834 327485824 332085344 337133568 347953688 352840678 353243136 358204416 360944128 366013568 375320832 380592192 383503136 388889416 389332992 394801152 407472082 413666304 419476224 421412864 427331584 428621152 434641112 439520448 445693488 455409974 462332928 468826368 470990848 477605888 491228736 498128016 500427776 507456256 508987618 521930532 526401536 529261017 539787264 541416192 549020352 551555072 559301632 575254704 583334124 586027264 594257984 603291648 611208123 616443904 625101824 632119296 640997376 642931728 651961668 654971648 664170688 674267136 683114961 695907376 705681356 706486272 716408832 721888256 732027136 750641664 761184384 763481427 767006272 777778832 778665984 789602304 814944164 826390009 827332608 838952448 842825728 854663168 857242304 869282224 879040896 891386976 910819948 923612363 924665856 937652736 941981696 955211776 982457472 996256032 1000855552 1014912512 1017975236 1043861064 1052803072 1058522034 1082832384 1098040704 1103110144 1118603264 1150509408 1166668248 1172054528 1188515968 1222416246 1232887808 1250203648 1264238592 1281994752 1285863456 1303923336 1309943296 1328341376 1366229922 1391814752 1411362712 1412972544 1432817664 1443776512 1464054272 1501283328 1522368768 1526962854 1534012544 1555557664 1579204608 1629888328 1652780018 1654665216 1677904896 1709326336 1714484608 1738564448 1758081792 1782773952 1821639896 1847224726 1849331712 1875305472 1910423552 1964914944 1992512064 2001711104 2029825024 2035950472 2087722128 2117044068 2165664768 2196081408 2206220288 2237206528 2301018816 2333336496 2344109056 2377031936 2444832492 2465775616 2479170027 2500407296 2528477184 2563989504 2571726912 2607846672 2619886592 2656682752 2732459844 2770837089 2783629504 2822725424 2825945088 2865635328 2887553024 2928108544 3002566656 3044737536 3053925708 3068025088 3111115328 3158409216 3259776656 3305560036 3309330432 3355809792 3418652672 3428969216 3477128896 3516163584 3565547904 3643279792 3694449452 3698663424 3750610944 3820847104 3870984779 3929829888 3985024128 4003422208 4059650048 4071900944 4175444256 4234088136 4326394753 4331329536 4392162816 4412440576 4474413056 4602037632 4666672992 4688218112 4754063872 4835382371 4889664984 4931551232 4958340054 5000814592 5127979008 5143453824 5215693344 5239773184 5313365504 5464919688 5541674178 5567259008 5645450848 5731270656 5775106048 5856217088 6005133312 6089475072 6107851416 6136050176 6222230656 6519553312 6611120072 6618660864 6711619584 6857938432 6954257792 7032327168 7131095808 7286559584 7388898904 7397326848 7501221888 7741969558 7859659776 7970048256 8006844416 8119300096 8143801888 8350888512 8468176272 8652789506 8662659072 8784325632 8948826112 9204075264 9333345984 9376436224 9508127744 9670764742 9779329968 9916680108 10001629184 10255958016 10286907648 10431386688 10479546368 10626731008 10929839376 11083348356 11134518016 11290901696 11462541312 11550212096 11612954337 11712434176 12010266624 12178950144 12215702832 12272100352 12444461312 12979184259 13039106624 13222240144 13237321728 13423239168 13715876864 13908515584 14064654336 14262191616 14506147113 14573119168 14777797808 14794653696 15002443776 15483939116 15701410171 15719319552 15940096512 16013688832 16238600192 16287603776 16701777024 16936352544 17305579012 17325318144 17568651264 17897652224 18408150528 18666691968 18752872448 19016255488 19341529484 19558659936 19833360216 20003258368 20573815296 20862773376 20959092736 21253462016 21859678752 22166696712 22269036032 22581803392 23100424192 23225908674 23424868352 24020533248 24357900288 24431405664 24544200704 24888922624 25958368518 26078213248 26444480288 26846478336 27431753728 27817031168 28129308672 28524383232 29012294226 29146238336 29555595616 30004887552 30967878232 31402820342 31438639104 31880193024 32477200384 32575207552 33403554048 33872705088 34611158024 34650636288 35137302528 36816301056 37333383936 37505744896 38032510976 38683058968 39117319872 39666720432 41147630592 41725546752 41918185472 42506924032 43719357504 44333393424 44538072064 45163606784 46451817348 46849736704 47104230513 48041066496 48715800576 48862811328 49088401408 49777845248 51916737036 52156426496 52888960576 53692956672 54863507456 55634062336 56258617344 57048766464 58024588452 58292476672 59111191232 60009775104 61935756464 62805640684 62877278208 63760386048 64954400768 65150415104 66807108096 67745410176 69222316048 69301272576 70274605056 73548710801 73632602112 74666767872 75011489792 76065021952 77366117936 78234639744 79333440864 82201500307 82295261184 83451093504 83836370944 85013848064 87438715008 88666786848 89076144128 90327213568 92903634696 93699473408 94208461026 97431601152 97725622656 98176802816 99555690496 103833474072 104312852992 105777921152 109727014912 111268124672 112517234688 114097532928 116049176904 116584953344 118222382464 123871512928 125611281368 125754556416 127520772096 130300830208 133614216192 135490820352 138444632096 140549210112 147097421602 147265204224 149333535744 152130043904 154732235872 156469279488 158666881728 164403000614 164590522368 166902187008 170027696128 174877430016 177333573696 178152288256 180654427136 185807269392 188416922052 194863202304 195451245312 196353605632 199111380992 207666948144 208625705984 211555842304 219454029824 220646132403 222536249344 225034469376 228195065856 232098353808 233169906688 236444764928 246604500921 247743025856 251222562736 251509112832 255041544192 260601660416 267228432384 270981640704 276889264192 281098420224 294194843204 294530408448 298667071488 304260087808 309464471744 312938558976 317333763456 328806001228 329181044736 333804374016 340055392256 349754860032 354667147392 356304576512 361308854272 371614538784 376833844104 390902490624 392707211264 398222761984 415333896288 417251411968 423111684608 438908059648 441292264806 445072498688 456390131712 464196707616 466339813376 472889529856 493209001842 495486051712 502445125472 510083088384 521203320832 534456864768 541963281408 553778528384 588389686408 589060816896 597334142976 618928943488 625877117952 634667526912 657612002456 658362089472 667608748032 699509720064 709334294784 712609153024 722617708544 743229077568 753667688208 781804981248 796445523968 830667792576 834502823936 846223369216 882584529612 890144997376 912780263424 928393415232 932679626752 945779059712 986418003684 990972103424 1004890250944 1020166176768 1042406641664 1068913729536 1083926562816 1107557056768 1176779372816 1178121633792 1194668285952 1237857886976 1251754235904 1269335053824 1315224004912 1316724178944 1335217496064 1397425505219 1399019440128 1418668589568 1425218306048 1445235417088 1486458155136 1507335376416 1563609962496 1592891047936 1661335585152 1669005647872 1692446738432 1765169059224 1780289994752 1856786830464 1865359253504 1891558119424 1972836007368 1981944206848 2009780501888 2084813283328 2137827459072 2167853125632 2215114113536 2353558745632 2389336571904 2475715773952 2503508471808 2538670107648 2630448009824 2670434992128 2794851010438 2798038880256 2837337179136 2890470834176 2972916310272 3014670752832 3127219924992 3322671170304 3338011295744 3384893476864 3530338118448 3713573660928 3730718507008 3783116238848 3945672014736 3963888413696 4019561003776 4169626566656 4192276515657 4275654918144 4335706251264 4430228227072 4707117491264 4778673143808 4951431547904 5007016943616 5077340215296 5260896019648 5340869984256 5589702020876 5596077760512 5674674358272 5780941668352 5945832620544 6029341505664 6254439849984 6645342340608 6676022591488 6769786953728 7060676236896 7427147321856 7461437014016 7566232477696 7891344029472 7927776827392 8039122007552 8339253133312 8384553031314 8671412502528 8860456454144 9414234982528 9902863095808 10014033887232 10154680430592 10521792039296 11179404041752 11192155521024 11349348716544 11891665241088 12058683011328 12508879699968 13290684681216 13539573907456 14121352473792 14854294643712 15132464955392 15782688058944 15855553654784 16078244015104 16769106062628 17342825005056 17720912908288 18828469965056 19805726191616 20028067774464 20309360861184 21043584078592 22358808083504 22384311042048 22698697433088 23783330482176 24117366022656 25017759399936 26581369362432 27079147814912 28242704947584 29708589287424 30264929910784 31565376117888 31711107309568 32156488030208 33538212125256 35441825816576 37656939930112 39611452383232 40618721722368 42087168157184 44717616167008 45397394866176 47566660964352 48234732045312 53162738724864 56485409895168 59417178574848 63130752235776 63422214619136 64312976060416 67076424250512 70883651633152 75313879860224 79222904766464 81237443444736 84174336314368 89435232334016 90794789732352 95133321928704 96469464090624 106325477449728 112970819790336 118834357149696 126261504471552 126844429238272 128625952120832 134152848501024 141767303266304 150627759720448 158445809532928 168348672628736 178870464668032 190266643857408 192938928181248 212650954899456 225941639580672 237668714299392 252523008943104 257251904241664 268305697002048 301255519440896 336697345257472 357740929336064 380533287714816 385877856362496 425301909798912 451883279161344 475337428598784 505046017886208 514503808483328 536611394004096 602511038881792 673394690514944 715481858672128 771755712724992 903766558322688 1010092035772416 1073222788008192 1205022077763584 1346789381029888 1430963717344256 1543511425449984 1807533116645376 2020184071544832 2146445576016384 2410044155527168 2693578762059776 2861927434688512 3615066233290752 4040368143089664 4292891152032768 5723854869377024 7230132466581504 8080736286179328 8585782304065536 11447709738754048 17171564608131072 22895419477508096 34343129216262144 45790838955016192 68686258432524288 137372516865048576
- Sum of all divisors σ(n): 415420174930896000
- Sum of proper divisors (its aliquot sum) s(n): 278047658065847424
- 137372516865048576 is an abundant number, because the sum of its proper divisors (278047658065847424) is greater than itself. Its abundance is 140675141200798848
Bases of 137372516865048576
- Binary: 1111010000000101110010011100001011010010010000000000000002
- Hexadecimal: 0x1E80B9385A48000
- Base-36: 11KMHR1466TC
Squares and roots of 137372516865048576
- 137372516865048576 squared (1373725168650485762) is 18871208389838055442983470839627776
- 137372516865048576 cubed (1373725168650485763) is 2592385392796874453778796667214200733961947998846976
-
The
square root of 137372516865048576 is 370637986.2683378221 -
The
cube root of 137372516865048576 is 515980.4953079563
Scales and comparisons
How big is 137372516865048576?- 137,372,516,865,048,576 seconds is equal to 4,368,021,115 years, 11 weeks, 1 day, 1 hour, 29 minutes, 36 seconds.
-
To count from 1 to 137,372,516,865,048,576 would take you about thirteen billion, one hundred four million, sixty-three thousand, three hundred forty-five 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 137372516865048576 cubic inches would be around 42998.4 feet tall.
Recreational maths with 137372516865048576
- 137372516865048576 backwards is 675840568615273731
- The number of decimal digits it has is: 18
- The sum of 137372516865048576's digits is 84
- More coming soon!
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"Number 137372516865048576 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 137372516865048576 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/137372516865048576/
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Numbermatics. 2024. "Number 137372516865048576 - Facts about the integer". https://numbermatics.com/n/137372516865048576/
The information we have on file for 137372516865048576 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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