137420831987786340
137,420,831,987,786,340 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137420831987786340 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
137420831987786340 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137420831987786340:
22 × 32 × 5 × 7 × 313 × 613 × 1272
(2 × 2 × 3 × 3 × 5 × 7 × 31 × 31 × 31 × 61 × 61 × 61 × 127 × 127)See below for interesting mathematical facts about the number 137420831987786340 from the Numbermatics database.
Names of 137420831987786340
- Cardinal: 137420831987786340 can be written as One hundred thirty-seven quadrillion, four hundred twenty trillion, eight hundred thirty-one billion, nine hundred eighty-seven million, seven hundred eighty-six thousand, three hundred forty.
Scientific notation
- Scientific notation: 1.3742083198778634 × 1017
Factors of 137420831987786340
Divisors of 137420831987786340
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 61 62 63 70 84 90 93 105 122 124 126 127 140 155 180 183 186 210 217 244 252 254 279 305 310 315 366 372 381 420 427 434 465 508 549 558 610 620 630 635 651 732 762 854 868 889 915 930 961 1085 1098 1116 1143 1220 1260 1270 1281 1302 1395 1524 1708 1778 1830 1860 1891 1905 1922 1953 2135 2170 2196 2286 2540 2562 2604 2667 2745 2790 2883 3255 3556 3660 3721 3782 3810 3843 3844 3906 3937 4270 4340 4445 4572 4805 5124 5334 5490 5580 5673 5715 5766 6405 6510 6727 7442 7564 7620 7686 7747 7812 7874 8001 8540 8649 8890 9455 9610 9765 10668 10980 11163 11346 11430 11532 11811 12810 13020 13237 13335 13454 14415 14884 15372 15494 15748 16002 16129 17019 17298 17780 18605 18910 19215 19220 19530 19685 20181 22326 22692 22860 23241 23622 25620 26047 26474 26670 26908 27559 28365 28830 29791 30988 32004 32258 33489 33635 34038 34596 35433 37210 37820 38430 38735 39060 39370 39711 40005 40362 43245 44652 46482 47244 48387 52094 52948 53340 54229 55118 55815 56730 57660 58621 59055 59582 60543 64516 66185 66978 67270 68076 69723 70866 74420 76860 77470 78141 78740 79422 80010 80645 80724 82677 85095 86490 89373 92964 96774 100905 104188 108458 110236 111630 112903 113460 115351 116205 117242 118110 119133 119164 121086 122047 130235 132370 133956 134540 137795 139446 141732 145161 148955 154940 156282 158844 160020 161290 162687 165354 167445 170190 172980 175863 177165 178746 193548 198555 201810 208537 216916 223260 225806 226981 230702 232410 234423 234484 236220 238266 240157 241935 242172 244094 248031 260470 264740 268119 271145 275590 278892 290322 293105 297910 302715 312564 322580 325374 330708 334890 338709 340380 346053 348615 351726 354330 357492 366141 390705 397110 403620 410347 413385 417074 446865 451612 453962 461404 464820 468846 472567 476532 480314 483870 488061 488188 496062 499999 520940 527589 536238 542290 551180 564515 576755 580644 586210 595665 595820 605430 610235 625611 650748 669780 677418 680943 692106 697230 703452 708660 720471 725805 732282 781410 794220 807457 813435 820694 826770 834148 854329 879315 893730 907924 937692 945134 960628 967740 976122 983869 992124 999998 1016127 1038159 1042685 1055178 1072476 1084580 1098423 1129030 1134905 1153510 1172115 1172420 1191330 1200785 1210860 1220470 1231041 1240155 1251222 1340595 1354836 1361886 1384212 1394460 1417701 1440942 1451610 1464564 1499997 1562820 1588867 1614914 1626870 1641388 1653540 1681099 1693545 1708658 1730265 1758630 1787460 1817251 1830705 1876833 1890268 1952244 1967738 1999996 2032254 2042829 2051735 2076318 2085370 2110356 2161413 2196846 2258060 2269810 2307020 2344230 2362835 2382660 2401570 2422371 2440305 2440940 2462082 2480310 2499995 2502444 2562987 2637945 2681190 2723772 2835402 2881884 2903220 2951607 2999994 3128055 3177734 3229828 3253740 3307969 3362198 3387090 3404715 3417316 3460530 3499993 3517260 3575881 3602355 3634502 3661410 3693123 3753666 3783457 3935476 4037285 4064508 4085658 4103470 4152636 4170740 4253103 4271645 4322826 4393692 4499991 4539620 4688460 4725670 4766601 4803140 4844742 4880610 4919345 4924164 4960620 4999990 5043297 5080635 5125974 5190795 5275890 5362380 5451753 5492115 5670804 5903214 5999988 6155205 6256110 6355468 6615938 6724396 6774180 6809430 6887083 6921060 6999986 7036411 7088505 7151762 7204710 7267113 7269004 7322820 7386246 7444867 7499985 7507332 7566914 7688961 7944335 8074570 8171316 8206940 8405495 8506206 8543290 8645652 8854821 8999982 9086255 9384165 9451340 9533202 9689484 9761220 9838690 9923907 9999980 10086594 10161270 10214145 10251948 10381590 10499979 10551780 10727643 10807065 10903506 10984230 11350371 11806428 12111855 12310410 12512220 12720757 12814935 13231876 13618860 13774166 13999972 14072822 14177010 14299803 14303524 14409420 14534226 14649577 14758035 14772492 14889734 14999970 15129891 15133828 15377922 15499969 15888670 16149140 16355259 16539845 16810990 17012412 17086580 17499965 17709642 17879405 17999964 18172510 18465615 18768330 18917285 19066404 19677380 19847814 20173188 20322540 20428290 20661249 20763180 20999958 21109233 21265515 21455286 21614130 21807012 21968460 22334601 22499955 22700742 23833005 24223710 24620820 25031167 25216485 25441514 25629870 26484199 27258765 27548332 28145644 28354020 28599606 28826587 29068452 29299154 29516070 29771721 29779468 29999940 30259782 30499939 30755844 30999938 31499937 31777340 32182929 32710518 33079690 33621980 34051113 34435415 34999930 35182055 35419284 35758810 36335565 36345020 36931230 37224335 37536660 37834570 38162271 38444805 39695628 40856580 41322498 41999916 42218466 42531030 42910572 43228260 43948731 44274105 44669202 44999910 45401484 46499907 47666010 48447420 49254877 49619535 50062334 50432970 50883028 51259740 52114069 52499895 52968398 53638215 54517530 56751855 57199212 57653174 58598308 59032140 59543442 60016009 60519564 60999878 61983747 61999876 62999874 63327699 63603785 64365858 65421036 66159380 67003803 68102226 68870830 69999860 70364110 71499015 71517620 72671130 73247885 73862460 74448670 75093501 75649455 75669140 76324542 76889610 77499845 79452597 81776295 82644996 84436932 85062060 86479761 87897462 88548210 89338404 89999820 91499817 92999814 95332020 98509754 99239070 100124668 100865940 102547039 103306245 104228138 104999790 105546165 105936796 107276430 108499783 109035060 110852311 111673005 113503710 114486813 115306348 119086884 120032018 121999756 123967494 125155835 125999748 126655398 127207570 128731716 131846193 132420995 134007606 136204452 137741660 139499721 140728220 142998030 144132935 145342260 146495770 147764631 148858605 148897340 150187002 151298910 152499695 152649084 153779220 154999690 156342207 157499685 158905194 160914645 163552590 170255565 172959522 175794924 177096420 180048027 182999634 185999628 190811355 197019508 198478140 201786109 205094078 206612490 208456276 209999580 211092330 213499573 214552860 216999566 218128741 219743655 221704622 223346010 225280503 227007420 228973626 230790877 232499535 238357791 240064036 246274385 247934988 250311670 253310796 254415140 259439283 260570345 263692386 264841990 268015212 274499451 278999442 285996060 288265870 292991540 295529262 297717210 300080045 300374004 302597820 304999390 307641117 309918735 309999380 312684414 314999370 316638495 317810388 321829290 325499349 327105180 332556933 335019015 340511130 345919044 360096054 365999268 375467505 381622710 397262985 403572218 410188156 413224980 420112063 422184660 426999146 432398805 433999132 436257482 439487310 443293893 443409244 446692020 450561006 454136887 457499085 457947252 461581754 464999070 469026621 476715582 480499039 492548770 500623340 512735195 518878566 521140690 527384772 529683980 540144081 542498915 548998902 554261555 557998884 572434065 576531740 591058524 595434420 600160090 605358327 609998780 615282234 619837470 625368828 629998740 633276990 640498719 643658580 650998698 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1995341598 2017861090 2050940780 2077117893 2100560315 2134995730 2160576324 2169995660 2181287410 2216469465 2217046220 2252805030 2270684435 2289736260 2307908770 2327898531 2345133105 2383577910 2402495195 2421433308 2520672378 2561994876 2594392830 2617544892 2636923860 2680872591 2700720405 2724821322 2744994510 2769490524 2789994420 2836494327 2882994234 2955292620 3026791635 3053802374 3076411170 3103864708 3126844140 3178958209 3202493595 3231072278 3254993490 3271931115 3325569330 3363493273 3461863155 3574496788 3600960540 3632149962 3660976549 3691693404 3720992558 3781008567 3781992436 3842992314 3879830885 3905992188 3926317338 3990683196 4035722180 4087231983 4154235786 4201120630 4269991460 4324491351 4362574820 4432938930 4468120985 4505610060 4541368870 4580703561 4614616755 4615817540 4655797062 4690266210 4727490545 4767155820 4804990390 4846608417 4882490235 4988353995 5041344756 5188785660 5361745182 5401440810 5449642644 5489989020 5581488837 5672988654 5765988468 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17018965962 17297965404 17872483940 18160749810 18304882745 18322814244 18458467020 18604962790 18766108137 18905042835 18909962180 19073749254 19214961570 19386433668 19529960940 19631586690 19855460289 19953415980 20180959638 20285972913 20436159915 20771178930 21622456755 21965859294 22325955348 22903517805 23278985310 24233042085 25021477516 25206723780 25626835843 26046947906 26473947052 26808725910 27047963884 27248213220 27484221366 27702350107 27907444185 27934782372 28156486994 28364943270 28610623881 28829942340 29079650502 29310441379 30271439457 30538023740 31276846895 31789582090 32170471092 32310722780 32948788941 33092433815 33488933022 33634932730 33809954855 34037931924 34918477965 36321499620 36609765490 37209925580 37532216274 37810085670 38147498508 38429923140 39070421859 39263173380 39710920578 40213088865 40361919276 40571945826 40872319830 41542357860 42234730491 42547414905 43244913510 43931718588 45807035610 46557970620 47333936797 47684373135 48466084170 50452399095 51253671686 52093895812 53617451820 54914648235 54968442732 55404700214 55814888370 56298324411 56312973988 56729886540 57221247762 57675384649 58159301004 58620882758 59566380867 60542878914 60857918739 62553693790 63579164180 65117369765 65897577882 66184867630 66977866044 67269865460 67619909710 68710553415 69836955930 70391217485 72699126255 73219530980 75064432548 75620171340 76880507529 78140843718 79421841156 80426177730 81143891652 81744639660 83107050321 83722332555 84469460982 85094829810 86489827020 87931324137 91614071220 93830540685 94667873594 95368746270 96932168340 98547704479 99277301445 100904798190 101429864565 102507343372 109829296470 110809400428 111629776740 112596648822 113490273019 114442495524 115350769298 117211265577 117241765516 119132761734 121085757828 121715837478 125107387580 126704191473 128134179215 130234739530 131795155764 132369735260 135239819420 137421106830 138511750535 139673911860 140782434970 142001810391 143053119405 145398252510 146552206895 151357197285 153761015058 156281687436 160852355460 164743944705 166214100642 167444665110 168938921964 170189659620 173026153947 175862648274 187661081370 189335747188 190737492540 193916450749 195352109295 197095408958 198554602890 201809596380 202859729130 205173089653 211173652455 219658592940 225193297644 226980546038 230641522587 230701538596 234422531154 236669683985 238265523468 243431674956 249321150963 253408382946 256268358430 260469479060 263793972411 274842213660 277023501070 281491622055 281564869940 284003620782 286106238810 288376923245 290796505020 293104413790 295643113437 297831904335 302714394570 304289593695 307522030116 329487889410 332428201284 334889330220 340470819057 346052307894 351725296548 375322162740 384402537645 387832901498 390704218590 394190817916 397109205780 403727692543 405719458260 410346179306 415535251605 422347304910 426005431173 439656620685 453961092076 461283045174 468845062308 473339367970 492738522395 498642301926 506816765892 512536716860 519078461841 527587944822 554047002140 562983244110 567451365095 568007241564 572212477620 576753846490 581749352247 586056327885 586208827580 591286226874 595663808670 605428789140 608579187390 615519268959 633520957365 658975778820 680941638114 692104615788 710009051955 768805075290 775665802996 781408437180 794431911133 807455385086 820692358612 831070503210 844694609820 852010862346 858772853317 865130769735 879313241370 886929340311 922566090348 946678735940 969582253745 985477044790 997284603852 1021412457171 1025865448265 1038156923682 1055175889644 1125966488220 1134902730190 1153207612935 1153507692980 1163498704494 1172112655770 1182572453748 1191327617340 1211183077629 1217158374780 1231038537918 1246605754815 1267041914730 1318969862055 1361883276228 1420018103910 1478215567185 1537610150580 1588863822266 1614910770172 1662141006420 1702354095285 1704021724692 1717545706634 1730261539470 1745248056741 1758626482740 1773858680622 1787936924119 1846557806877 1939164507490 1970954089580 2018638462715 2042824914342 2051730896530 2076313847364 2130027155865 2269805460380 2306415225870 2326997408988 2344225311540 2383295733399 2422366155258 2462077075836 2493211509630 2534083829460 2576318559951 2595392309205 2637939724110 2840036207820 2908746761235 2956431134370 3077596344795 3177727644532 3404708190570 3435091413268 3460523078940 3490496113482 3518198463589 3547717361244 3575873848238 3633549232887 3693115613754 3878329014980 3972159555665 4037276925430 4085649828684 4103461793060 4260054311730 4293864266585 4434646701555 4612830451740 4766591466798 4844732310516 4986423019260 5107062285855 5152637119902 5190784618410 5275879448220 5363810772357 5817493522470 5912862268740 6011409973219 6055915388145 6155192689590 6809416381140 6980992226964 7036396927178 7149887200197 7151747696476 7267098465774 7386231227508 7728955679853 7944319111330 8074553850860 8520108623460 8587728533170 8726240283705 8869293403110 8939684620595 9232789034385 9533182933596 10214124571710 10305274239804 10381569236820 10554595390767 10727621544714 11634987044940 11916478666995 12022819946438 12111830776290 12310385379180 12515558468833 12881592799755 14072793854356 14299774400394 14534196931548 15457911359706 15888638222660 16091432317071 17175457066340 17452480567410 17590992317945 17738586806220 17879369241190 18034229919657 18167746164435 18465578068770 20428249143420 21109190781534 21455243089428 23832957333990 24045639892876 24223661552580 24627389245123 25031116937666 25763185599510 26819053861785 28599548800788 30057049866095 30915822719412 31663786172301 32182864634142 34904961134820 35181984635890 35749436000985 35758738482380 36068459839314 36335492328870 36931156137540 37546675406499 38644778399265 42218381563068 47665914667980 49254778490246 50062233875332 51526371199020 52772976953835 53638107723570 54102689758971 60114099732190 62577792344165 63327572344602 64365729268284 70363969271780 71498872001970 72136919678628 72670984657740 73882167735369 75093350812998 77289556798530 80457161585355 90171149598285 98509556980492 105545953907670 107276215447140 108205379517942 109064152371259 112640026219497 120228199464380 123136946225615 125155584688330 126655144689204 142997744003940 147764335470738 150186701625996 154579113597060 158318930861505 160914323170710 180342299196570 187733377032495 211091907815340 216410759035884 218128304742518 221646503206107 225280052438994 246273892451230 250311169376660 270513448794855 295528670941476 316637861723010 321828646341420 327192457113777 360684598393140 369410838676845 375466754064990 436256609485036 443293006412214 450560104877988 492547784902460 541026897589710 545320761856295 563200131097485 633275723446020 654384914227554 738821677353690 750933508129980 763449066598813 886586012824428 981577371341331 1082053795179420 1090641523712590 1108232516030535 1126400262194970 1308769828455108 1477643354707380 1526898133197626 1635962285568885 1963154742682662 2181283047425180 2216465032061070 2252800524389940 2290347199796439 3053796266395252 3271924571137770 3817245332994065 3926309485365324 4432930064122140 4580694399592878 4907886856706655 6543849142275540 6871041599389317 7634490665988130 9161388799185756 9815773713413310 11451735998982195 13742083198778634 15268981331976260 19631547426826620 22903471997964390 27484166397557268 34355207996946585 45806943995928780 68710415993893170 137420831987786340
- Sum of all divisors σ(n): 504447697497010176
- Sum of proper divisors (its aliquot sum) s(n): 367026865509223836
- 137420831987786340 is an abundant number, because the sum of its proper divisors (367026865509223836) is greater than itself. Its abundance is 229606033521437496
Bases of 137420831987786340
- Binary: 1111010000011011110000100110000110101111011100010011001002
- Hexadecimal: 0x1E83784C35EE264
- Base-36: 11L3MAOWSGH0
Squares and roots of 137420831987786340
- 137420831987786340 squared (1374208319877863402) is 18884485064215401362218933490595600
- 137420831987786340 cubed (1374208319877863403) is 2595121649185405202560654127428632628322452144104000
-
The
square root of 137420831987786340 is 370703158.8586565309 -
The
cube root of 137420831987786340 is 516040.9798440693
Scales and comparisons
How big is 137420831987786340?- 137,420,831,987,786,340 seconds is equal to 4,369,557,386 years, 34 weeks, 5 days, 12 hours, 39 minutes.
-
To count from 1 to 137,420,831,987,786,340 would take you about thirteen billion, one hundred eight million, six hundred seventy-two thousand, one hundred sixty 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 137420831987786340 cubic inches would be around 43003.4 feet tall.
Recreational maths with 137420831987786340
- 137420831987786340 backwards is 043687789138024731
- The number of decimal digits it has is: 18
- The sum of 137420831987786340's digits is 81
- More coming soon!
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"Number 137420831987786340 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 137420831987786340 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137420831987786340/
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Numbermatics. 2024. "Number 137420831987786340 - Facts about the integer". https://numbermatics.com/n/137420831987786340/
The information we have on file for 137420831987786340 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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