137964093763942368
137,964,093,763,942,368 is an even composite number composed of eight prime numbers multiplied together.
137964093763942368 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 137964093763942368:
25 × 33 × 13 × 19 × 31 × 67 × 383 × 812681
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 19 × 31 × 67 × 383 × 812681)See below for interesting mathematical facts about the number 137964093763942368 from the Numbermatics database.
Names of 137964093763942368
- Cardinal: 137964093763942368 can be written as One hundred thirty-seven quadrillion, nine hundred sixty-four trillion, ninety-three billion, seven hundred sixty-three million, nine hundred forty-two thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37964093763942368 × 1017
Factors of 137964093763942368
Divisors of 137964093763942368
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 31 32 36 38 39 48 52 54 57 62 67 72 76 78 93 96 104 108 114 117 124 134 144 152 156 171 186 201 208 216 228 234 247 248 268 279 288 304 312 342 351 372 383 402 403 416 432 456 468 494 496 513 536 558 589 603 608 624 684 702 741 744 766 804 806 837 864 871 912 936 988 992 1026 1072 1116 1149 1178 1206 1209 1248 1273 1368 1404 1482 1488 1532 1608 1612 1674 1742 1767 1809 1824 1872 1976 2052 2077 2144 2223 2232 2298 2356 2412 2418 2546 2613 2736 2808 2964 2976 3064 3216 3224 3348 3447 3484 3534 3618 3627 3744 3819 3952 4104 4154 4446 4464 4596 4712 4824 4836 4979 5092 5226 5301 5472 5616 5928 6128 6231 6432 6448 6669 6696 6894 6968 7068 7236 7254 7277 7638 7657 7839 7904 8208 8308 8892 8928 9192 9424 9648 9672 9958 10184 10341 10452 10602 10881 11232 11457 11856 11873 12256 12462 12896 13338 13392 13788 13936 14136 14472 14508 14554 14937 15276 15314 15678 15903 16416 16549 16616 17784 18384 18693 18848 19296 19344 19916 20368 20682 20904 21204 21762 21831 22914 22971 23517 23712 23746 24924 25661 26676 26784 27001 27576 27872 28272 28944 29016 29108 29874 30552 30628 31356 31806 33098 33232 34371 35568 35619 36768 37386 38688 39463 39832 40736 41364 41808 42408 43524 43662 44811 45828 45942 47034 47492 49647 49848 51322 53352 54002 55152 56079 56544 57888 58032 58216 59748 61104 61256 62712 63612 65493 66196 66464 68742 68913 71136 71238 74772 76983 78926 79664 81003 82728 83616 84816 87048 87324 89622 91656 91884 94068 94601 94984 99294 99696 102644 106704 106857 108004 110304 112158 116064 116432 118389 119496 122208 122512 125424 127224 130986 132392 134433 137484 137826 142476 148941 149544 153966 154349 157852 159328 162006 165456 169632 174096 174648 179244 183312 183768 188136 189202 189968 196479 198588 199392 205288 206739 213408 213714 216008 224316 225587 230949 232864 236778 238992 243009 245024 250848 254448 261972 264784 268866 274968 275652 283803 284952 297882 299088 307932 308698 315704 320571 324012 330912 333593 348192 349296 355167 358488 366624 367536 376272 378404 379936 392958 397176 410576 413478 427428 432016 446823 448632 451174 461898 463047 473556 477984 486018 487559 508896 513019 523944 529568 537732 549936 551304 567606 569904 595764 598176 615864 617396 631408 641142 648024 667186 676761 692847 698592 710334 716976 729027 735072 752544 756808 785916 794352 795491 812681 821152 826956 851409 854856 864032 893646 897264 902348 923796 926094 947112 972036 975118 1000779 1026038 1047888 1065501 1075464 1099872 1102608 1135212 1139808 1191528 1231728 1234792 1262816 1282284 1296048 1334372 1353522 1385694 1389141 1420668 1433952 1458054 1462677 1513616 1539057 1571832 1588704 1590982 1625362 1653912 1702818 1709712 1787292 1794528 1804696 1847592 1852188 1894224 1944072 1950236 2001558 2030283 2052076 2095776 2131002 2150928 2205216 2270424 2383056 2386473 2438043 2463456 2469584 2554227 2564568 2592096 2668744 2707044 2771388 2778282 2841336 2916108 2925354 2932631 3002337 3027232 3078114 3143664 3181964 3250724 3307824 3405636 3419424 3574584 3609392 3695184 3704376 3788448 3888144 3900472 4003116 4060566 4104152 4167423 4262004 4301856 4388031 4540848 4617171 4766112 4772946 4876086 4939168 5108454 5129136 5337488 5414088 5542776 5556564 5682672 5832216 5850708 5865262 6004674 6090849 6156228 6287328 6338267 6363928 6501448 6615648 6811272 7149168 7159419 7218784 7314129 7390368 7408752 7776288 7800944 8006232 8121132 8208304 8334846 8524008 8776062 8797893 9007011 9081696 9234342 9545892 9752172 10216908 10258272 10341383 10564853 10674976 10828176 11085552 11113128 11365344 11664432 11701416 11730524 12009348 12181698 12312456 12676534 12727856 13002896 13164093 13622544 13851513 14298336 14318838 14628258 14817504 15114329 15440939 15601888 16012464 16242264 16416608 16669692 17048016 17552124 17595786 18014022 18468684 19014801 19091784 19504344 20433816 20682766 21129706 21478257 21656352 21942387 22171104 22226256 23328864 23402832 23461048 24018696 24363396 24624912 25193111 25353068 25455712 26005792 26328186 26393679 27245088 27703026 28637676 29256516 30228658 30881878 31024149 31694559 32024928 32484528 33339384 34096032 35104248 35191572 36028044 36937368 38029602 38183568 39008688 40867632 41365532 42259412 42956514 43884774 44452512 45342987 46322817 46805664 46922096 48037392 48726792 49249824 50386222 50706136 52656372 52787358 54449627 55406052 57044403 57275352 58513032 60457316 61763756 62048298 63389118 64969056 66678768 70208496 70383144 72056088 73874736 75579333 76059204 76367136 78017376 79181037 81735264 82731064 84518824 85913028 87769548 90685974 92645634 93072447 93844192 95083677 96074784 97453584 100772444 101412272 105312744 105574716 108899254 110812104 114088806 114550704 117026064 120914632 123527512 124096596 126778236 133357536 136028961 138968451 140416992 140766288 144112176 147749472 151158666 152118408 158362074 163348881 165462128 169037648 171133209 171826056 175539096 181371948 185291268 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6370606359 6423430624 6529390128 6670485648 6751753748 7073505972 7226359452 7255615968 7470163752 7658705744 7840746288 7860250632 8092677398 8276343304 8403934221 8494141812 8616043962 8842781961 8934954912 9128032992 9310886217 9431341296 9635145936 9648961513 9960218336 10127630622 10480334176 10610258958 10839539178 10883423952 11205245628 11325522416 11488058616 11761119432 11790375948 11827759274 12139016097 12414514956 12445396834 12741212718 12924065943 13058780256 13340971296 13449057869 13503507496 14147011944 14452718904 14940327504 15191445933 15317411488 15681492576 15720501264 16185354796 16552686608 16807868442 16988283624 17232087924 17685563922 17741638911 18621772434 18668095251 18862682592 19111819077 19270291872 19297923026 20255261244 20854207141 21220517916 21679078356 21766847904 21943199681 22410491256 22651044832 22976117232 23522238864 23580751896 23655518548 24278032194 24829029912 24890793668 25482425436 25848131886 26898115738 27007014992 27932658651 28294023888 28905437808 28946884539 29880655008 30382891866 31441002528 32070830303 32370709592 33105373216 33615736884 33976567248 34464175848 35371127844 35483277822 36417048291 37243544868 37336190502 38223638154 38595846052 40347173607 40510522488 41708414282 42441035832 43358156712 43886399362 44820982512 45574337799 45952234464 47044477728 47161503792 47311037096 48556064388 49658059824 49781587336 50964850872 51696263772 53224916733 53796231476 54014029984 55865317302 56004285753 56588047776 57810875616 57893769078 60765783732 62562621423 64141660606 64741419184 65829599043 67231473768 67953134496 68928351696 70742255688 70966555644 72834096582 74487089736 74672381004 76447276308 76880435281 77191692104 80694347214 81021044976 83416828564 84882071664 86716313424 86840653617 87772798724 89641965024 91148675598 94323007584 94622074192 96212490909 97112128776 99316119648 99563174672 101929701744 103392527544 106449833466 107592462952 109251144873 111730634604 112008571506 115787538156 121041520821 121531567464 125125242846 125436499669 128283321212 129482838368 131659198086 134462947536 137856703392 141484511376 141933111288 145668193164 148974179472 149344762008 152894552616 153760870562 154383384208 159674750199 161388694428 162042089952 166833657128 168012857259 169764143328 173432626848 173681307234 175545597448 182297351196 183330268747 187687864269 189244148384 192424981818 194224257552 197488797129 199126349344 203859403488 206785055088 212899666932 215184925904 218502289746 223461269208 224017143012 230641305843 231575076312 242083041642 243063134928 250250485692 250872999338 256566642424 260521960851 263318396172 268925895072 271104692833 282969022752 283866222576 288637472727 291336386328 297948358944 298689524016 305789105232 307521741124 308766768416 319349500398 322777388856 333667314256 336025714518 347362614468 351091194896 363124562463 364594702392 366660537494 375375728538 376309499007 384849963636 388448515104 394977594258 396229935679 413570110176 416920793939 425799333864 430369851808 437004579492 446922538416 448034286024 461282611686 463150152624 484166083284 486126269856 500500971384 501745998676 513133284848 521043921702 526636792344 542209385666 549990806241 563063592807 567732445152 577274945454 582672772656 592466391387 597379048032 611578210464 615043482248 638699000796 645554777712 646480421371 667334628512 672051429036 691923917529 694725228936 702182389792 726249124926 729189404784 733321074988 750751457076 752618998014 769699927272 789955188516 792459871358 813314078499 833841587878 851598667728 865912418181 874009158984 893845076832 896068572048 922565223372 926300305248 968332166568 1001001942768 1003491997352 1026266569696 1042087843404 1053273584688 1084418771332 1099981612482 1126127185614 1128928497021 1154549890908 1165345545312 1184932782774 1188689807037 1230086964496 1250762381817 1277398001592 1291109555424 1292960842742 1344102858072 1383847835058 1389450457872 1452498249852 1458378809568 1466642149976 1501502914152 1505237996028 1539399854544 1579910377032 1584919742716 1626628156998 1649972418723 1667683175756 1703197335456 1731824836362 1748018317968 1792137144096 1845130446744 1936664333136 1939441264113 2002003885536 2006983994704 2075771752587 2084175686808 2106547169376 2168837542664 2199963224964 2252254371228 2257856994042 2309099781816 2369865565548 2377379614074 2383293493711 2439942235497 2460173928992 2501524763634 2554796003184 2585921685484 2688205716144 2767695670116 2778900915744 2904996499704 2933284299952 3003005828304 3010475992056 3078799709088 3159820754064 3169839485432 3253256313996 3299944837446 3335366351512 3386785491063 3463649672724 3496036635936 3566069421111 3690260893488 3752287145451 3873328666272 3878882528226 4013967989408 4151543505174 4168351373616 4337675085328 4399926449928 4504508742456 4515713988084 4618199563632 4739731131096 4754759228148 4766586987422 4879884470994 4949917256169 5003049527268 5109592006368 5150989163827 5171843370968 5376411432288 5535391340232 5809992999408 5818323792339 5866568599904 6006011656608 6020951984112 6319641508128 6339678970864 6506512627992 6599889674892 6670732703024 6773570982126 6927299345448 7132138842222 7149880481133 7319826706491 7380521786976 7504574290902 7757765056452 8303087010348 8336702747232 8404245477823 8675350170656 8799852899856 9009017484912 9031427976168 9236399127264 9479462262192 9509518456296 9533173974844 9759768941988 9899834512338 10006099054536 10301978327654 10343686741936 10698208263333 11070782680464 11256861436353 11619985998816 11636647584678 12041903968224 12283128006049 12679357941728 13013025255984 13199779349784 13341465406048 13547141964252 13854598690896 14264277684444 14299760962266 14639653412982 15009148581804 15452967491481 15515530112904 16606174020696 16808490955646 17454971377017 17599705799712 18018034969824 18062855952336 18958924524384 19019036912592 19066347949688 19519537883976 19799669024676 20012198109072 20603956655308 20687373483872 21396416526666 21449641443399 22141565360928 22513722872706 23273295169356 24566256012098 25212736433469 26026050511968 26399558699568 27094283928504 27709197381792 28528555368888 28599521924532 29279306825964 30018297163608 30905934982962 31031060225808 33212348041392 33616981911292 34909942754034 36125711904672 36849384018147 38038073825184 38132695899376 39039075767952 39599338049352 40024396218144 41207913310616 42792833053332 42899282886798 45027445745412 46358902474443 46546590338712 49132512024196 50425472866938 52799117399136 54188567857008 57057110737776 57199043849064 58558613651928 60036594327216 61811869965924 62062120451616 64348924330197 66424696082784 67233963822584 69819885508068 73698768036294 75638209300407 76265391798752 78078151535904 79198676098704 82415826621232 85585666106664 85798565773596 90054891490824 92717804948886 93093180677424 98265024048392 100850945733876 108377135714016 110548152054441 114114221475552 114398087698128 117117227303856 120073188654432 123623739931848 128697848660394 134467927645168 139076707423329 139639771016136 147397536072588 151276418600814 158397352197408 159680664078637 164831653242464 171171332213328 171597131547192 180109782981648 185435609897772 186186361354848 196530048096784 201701891467752 221096304108882 226914627901221 228796175396256 234234454607712 247247479863696 257395697320788 268935855290336 278153414846658 279279542032272 294795072145176 302552837201628 319361328157274 331644456163323 342342664426656 343194263094384 360219565963296 370871219795544 393060096193568 403403782935504 442192608217764 453829255802442 479041992235911 494494959727392 514791394641576 556306829693316 558559084064544 589590144290352 605105674403256 638722656314548 663288912326646 686388526188768 741742439591088 806807565871008 884385216435528 907658511604884 958083984471822 1029582789283152 1112613659386632 1179180288580704 1210211348806512 1277445312629096 1326577824653292 1437125976707733 1483484879182176 1768770432871056 1815317023209768 1916167968943644 2059165578566304 2225227318773264 2420422697613024 2554890625258192 2653155649306584 2874251953415466 3537540865742112 3630634046419536 3832335937887288 4311377930123199 4450454637546528 5109781250516384 5306311298613168 5748503906830932 7261268092839072 7664671875774576 8622755860246398 10612622597226336 11497007813661864 15329343751549152 17245511720492796 22994015627323728 34491023440985592 45988031254647456 68982046881971184 137964093763942368
- Sum of all divisors σ(n): 479147612228812800
- Sum of proper divisors (its aliquot sum) s(n): 341183518464870432
- 137964093763942368 is an abundant number, because the sum of its proper divisors (341183518464870432) is greater than itself. Its abundance is 203219424700928064
Bases of 137964093763942368
- Binary: 1111010100010010110011100110000001000111011110111111000002
- Hexadecimal: 0x1EA259CC08EF7E0
- Base-36: 11QG6TPFPKO0
Squares and roots of 137964093763942368
- 137964093763942368 squared (1379640937639423682) is 19034091168105881394392389625447424
- 137964093763942368 cubed (1379640937639423683) is 2626021138627987134233614427936727622989370150060032
-
The
square root of 137964093763942368 is 371435181.1069360295 -
The
cube root of 137964093763942368 is 516720.1023066339
Scales and comparisons
How big is 137964093763942368?- 137,964,093,763,942,368 seconds is equal to 4,386,831,430 years, 38 weeks, 8 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,964,093,763,942,368 would take you about thirteen billion, one hundred sixty million, four hundred ninety-four thousand, two hundred ninety-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 137964093763942368 cubic inches would be around 43060 feet tall.
Recreational maths with 137964093763942368
- 137964093763942368 backwards is 863249367390469731
- The number of decimal digits it has is: 18
- The sum of 137964093763942368's digits is 90
- More coming soon!
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"Number 137964093763942368 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 137964093763942368 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/137964093763942368/
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The information we have on file for 137964093763942368 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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