137249989631696688320
137,249,989,631,696,688,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137249989631696688320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1512 divisors.
137249989631696688320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 137249989631696688320:
26 × 5 × 7 × 432 × 97 × 3732 × 15672
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 43 × 43 × 97 × 373 × 373 × 1567 × 1567)See below for interesting mathematical facts about the number 137249989631696688320 from the Numbermatics database.
Names of 137249989631696688320
- Cardinal: 137249989631696688320 can be written as One hundred thirty-seven quintillion, two hundred forty-nine quadrillion, nine hundred eighty-nine trillion, six hundred thirty-one billion, six hundred ninety-six million, six hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3724998963169668832 × 1020
Factors of 137249989631696688320
Divisors of 137249989631696688320
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 97 112 140 160 172 194 215 224 280 301 320 344 373 388 430 448 485 560 602 679 688 746 776 860 970 1120 1204 1358 1376 1492 1505 1552 1567 1720 1849 1865 1940 2240 2408 2611 2716 2752 2984 3010 3104 3134 3395 3440 3698 3730 3880 4171 4816 5222 5432 5968 6020 6208 6268 6790 6880 7396 7460 7760 7835 8342 9245 9632 10444 10864 10969 11936 12040 12536 12943 13055 13580 13760 14792 14920 15520 15670 16039 16684 18490 19264 20855 20888 21728 21938 23872 24080 25072 25886 26110 27160 29197 29584 29840 31040 31340 32078 33368 36181 36980 41710 41776 43456 43876 48160 50144 51772 52220 54320 54845 58394 59168 59680 62680 64156 64715 66736 67381 72362 73960 80195 83420 83552 87752 96320 100288 103544 104440 108640 109690 112273 116788 118336 119360 125360 128312 129430 133472 134762 139129 144724 145985 147920 151999 160390 166840 167104 175504 179353 180905 207088 208880 217280 219380 224546 233576 250720 253267 256624 258860 266944 269524 278258 289448 291970 295840 303998 320780 333680 336905 351008 358706 361810 414176 417760 438760 449092 467152 471667 501440 506534 513248 517720 539048 556516 561365 578896 583940 584491 591680 607996 641560 667360 673810 689677 695645 702016 717412 723620 759995 828352 835520 877520 896765 898184 934304 943334 973903 1013068 1026496 1035440 1063993 1078096 1113032 1122730 1157792 1167880 1168982 1215992 1255471 1266335 1283120 1334720 1347620 1379354 1391290 1434824 1447240 1519990 1555783 1755040 1793530 1796368 1868608 1886668 1947806 2026136 2070880 2127986 2156192 2226064 2245460 2315584 2335760 2337964 2358335 2431984 2455489 2510942 2532670 2566240 2695240 2758708 2782580 2869648 2894480 2897383 2922455 3039980 3111566 3448385 3510080 3587060 3592736 3773336 3895612 4052272 4091437 4141760 4255972 4312384 4452128 4490920 4671520 4675928 4716670 4827739 4863968 4869515 4910978 5021884 5065340 5132480 5319965 5390480 5517416 5565160 5739296 5788960 5794766 5844910 5982547 6079960 6223132 6277355 6535957 6896770 7174120 7185472 7546672 7778915 7791224 8104544 8182874 8511944 8904256 8981840 9343040 9351856 9433340 9655478 9727936 9739030 9821956 10043768 10130680 10639930 10780960 10890481 11034832 11130320 11478592 11577920 11589532 11689820 11965094 12159920 12277445 12446264 12554710 13071914 13495513 13793540 14348240 14486915 15093344 15557830 15582448 16209088 16365748 17023888 17188423 17963680 18703712 18866680 19310956 19478060 19643912 20087536 20261360 20281681 20457185 21279860 21561920 21780962 22069664 22260640 23179064 23379640 23930188 24138695 24319840 24554890 24892528 25109420 25133113 26143828 26991026 27587080 28696480 28973830 29912735 30186688 31115660 31164896 32679785 32731496 34047776 34376846 35927360 37407424 37733360 38621912 38956120 39287824 40175072 40522720 40563362 40914370 41877829 42559720 43561924 44139328 44521280 45751699 46358128 46759280 47860376 48277390 48639680 49109780 49785056 50218840 50266226 52287656 53982052 54452405 55174160 56695627 57392960 57947660 59825470 62231320 62329792 65359570 65462992 66898669 67477565 68095552 68753692 75466720 77243824 77912240 78575648 80350144 81045440 81126724 81828740 83755658 85119440 85942115 87123848 91503398 92716256 93518560 94468591 95720752 96554780 98219560 99570112 100437680 100532452 101408405 104575312 105586027 107964104 108904810 110348320 113391254 115895320 119650940 124462640 125665565 130719140 130925984 133797338 134955130 137507384 150933440 154487648 155824480 157151296 162253448 163657480 167511316 170238880 171884230 174247696 175931791 183006796 185432512 187037120 188937182 191441504 193109560 196439120 200875360 201064904 202816810 209150624 209389145 211172054 215928208 217809620 218015143 220696640 226782508 228758495 231790640 238182433 239301880 248925280 251331130 257249521 261438280 261851968 267594676 269910260 275014768 281046151 283478135 308975296 311648960 324506896 327314960 334493345 335022632 340477760 343768460 348495392 351863582 366013592 377874364 382883008 386219120 392878240 396869389 401750720 402129808 405633620 418301248 418778290 422344108 431856416 435619240 436030286 453565016 457516990 463581280 468290683 472342955 476364866 478603760 497850560 502662260 514499042 522876560 527930135 535189352 539820520 550029536 562092302 566956270 580307059 649013792 654629920 668986690 670045264 687536920 696990784 703727164 732027184 739102189 755748728 772438240 785756480 793738778 804259616 811267240 837556580 844688216 863712832 871238480 872060572 879658955 907130032 915033980 915897397 927162560 936581366 944685910 952729732 957207520 1005324520 1028998084 1045753120 1055860270 1070378704 1079641040 1080723859 1090075715 1100059072 1124184604 1133912540 1160614118 1190912165 1286247605 1298027584 1309259840 1337973380 1340090528 1375073840 1405230755 1407454328 1464054368 1478204378 1511497456 1526106001 1544876480 1587477556 1608519232 1622534480 1667277031 1675113160 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7202986588 7320271840 7327179176 7391021890 7492650928 7557487280 7565067013 7621837856 7630530005 7869292228 7937387780 8042596160 8124298826 8231984672 8336385155 8446882160 8645790872 8720605720 8993476832 9003733235 9071300320 9080398322 9158973970 9284912944 9365813660 9374651149 9527297320 9751647844 9836615285 10241844619 10289980840 10703787040 10807238590 11241846040 11259634624 11606141180 11825635024 12189559805 12208848008 12699820448 12822563558 13338216248 13400905280 13952969152 14074543280 14405973176 14640543680 14654358352 14782043780 14985301856 15114974560 15130134026 15243675712 15261060010 15738584456 15874775560 16248597652 16463969344 16672770310 16893764320 17065383727 17291581744 17441211440 17986953664 18007466470 18142600640 18160796644 18317947940 18569825888 18731627320 18749302298 19054594640 19503295688 19673230570 20310747065 20483689238 20579961680 21147468871 21407574080 21614477180 22483692080 22700995805 23212282360 23651270048 24379119610 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4403993186170 4410961863952 4546705807265 4588346389312 4737033027104 4782816207134 4975154660504 5085023060320 5249804643440 5460922792640 5466075665296 5513702329940 5589517592288 5643539991698 5685891040576 5735432986640 5870492002088 5921291283880 6165590460638 6218943325630 6301374091360 6365388130171 6449759990512 6709133716672 6767190038720 6773977148212 6832594581620 6986896990360 7046389097872 7107363800720 7274729291624 7338115002610 7640416085774 7985025131840 8062199988140 8386417145840 8467471435265 8807986372340 8821923727904 9093411614530 9474066054208 9565632414268 9950309321008 10170046120640 10499609286880 10932151330592 11027404659880 11179035184576 11287079983396 11470865973280 11740984004176 11842582567760 11854460009371 11957040517835 12331180921276 12437886651260 12602748182720 12730776260342 12899519981024 13547954296424 13665189163240 13973793980720 14092778195744 14108849979245 14214727601440 14549458583248 14676230005220 14690078350483 15280832171548 15413976151595 16124399976280 16772834291680 16934942870530 17615972744680 17643847455808 18186823229060 19101040214435 19131264828536 19900618642016 20999218573760 21864302661184 22054809319760 22574159966792 22941731946560 23481968008352 23685165135520 23708920018742 23914081035670 24662361842552 24875773302520 25461552520684 25799039962048 26741456300209 27095908592848 27330378326480 27947587961440 28185556391488 28217699958490 28429455202880 29098917166496 29352460010440 29380156700966 30561664343096 30827952303190 31826940650855 32248799952560 33138083720857 33545668583360 33869885741060 35231945489360 36373646458120 38202080428870 38262529657072 39101669942479 39801237284032 44109618639520 45148319933584 46963936016704 47370330271040 47417840037484 47828162071340 49324723685104 49751546605040 50923105041368 53482912600418 54191817185696 54660756652960 55895175922880 56435399916980 58197834332992 58704920020880 58760313401932 59272300046855 61123328686192 61655904606380 63653881301710 64497599905120 66276167441714 67739771482120 70463890978720 72747292916240 73450391752415 76404160857740 76525059314144 78203339884958 88219237279040 90296639867168 94835680074968 95656324142680 98649447370208 99503093210080 101846210082736 102830548453381 106965825200836 108383634371392 109321513305920 112870799833960 117409840041760 117520626803864 118544600093710 122246657372384 123311809212760 127307762603420 128995199810240 132552334883428 133707281501045 135479542964240 140927781957440 145494585832480 146900783504830 152808321715480 153050118628288 156406679769916 164268945844141 165690418604285 180593279734336 189671360149936 191312648285360 195508349712395 197298894740416 199006186420160 203692420165472 205661096906762 213931650401672 225741599667920 231966586045999 234819680083520 235041253607728 237089200187420 244493314744768 246623618425520 254615525206840 265104669766856 267414563002090 270959085928480 273711689597353 290989171664960 293801567009660 305616643430960 312813359539832 328537891688282 331380837208570 379342720299872 382625296570720 391016699424790 407384840330944 411322193813524 427863300803344 451483199335840 463933172091998 470082507215456 474178400374840 493247236851040 509231050413680 514152742266905 530209339533712 534829126004180 541918171856960 547423379194706 587603134019320 611233286861920 625626719079664 631673369070769 657075783376564 662761674417140 758685440599744 765250593141440 782033398849580 821344729220705 822644387627048 855726601606688 902966398671680 927866344183996 940165014430912 948356800749680 986494473702080 1018462100827360 1028305484533810 1060418679067424 1069658252008360 1094846758389412 1149882620908987 1159832930229995 1175206268038640 1222466573723840 1251253438159328 1263346738141538 1314151566753128 1325523348834280 1368558447986765 1424937599996851 1564066797699160 1642689458441410 1645288775254096 1711453203213376 1855732688367992 1896713601499360 2036924201654720 2056610969067620 2120837358134848 2139316504016720 2189693516778824 2299765241817974 2319665860459990 2350412536077280 2502506876318656 2526693476283076 2628303133506256 2651046697668560 2737116895973530 2849875199993702 3128133595398320 3158366845353845 3285378916882820 3290577550508192 3711465376735984 3793427202998720 4113221938135240 4278633008033440 4379387033557648 4421713583495383 4599530483635948 4639331720919980 4700825072154560 5053386952566152 5256606267012512 5302093395337120 5474233791947060 5699750399987404 5749413104544935 6256267190796640 6316733690707690 6570757833765640 6581155101016384 7124687999984255 7422930753471968 8226443876270480 8557266016066880 8758774067115296 8843427166990766 9199060967271896 9278663441839960 9974563199977957 10106773905132304 10513212534025024 10604186790674240 10948467583894120 11399500799974808 11498826209089870 12512534381593280 12633467381415380 13141515667531280 14249375999968510 14845861506943936 16452887752540960 17517548134230592 17686854333981532 18398121934543792 18557326883679920 19949126399955914 20213547810264608 21896935167788240 22108567917476915 22799001599949616 22997652418179740 25266934762830760 26283031335062560 28498751999937020 32905775505081920 35373708667963064 36796243869087584 37114653767359840 39898252799911828 40427095620529216 43793870335576480 44217135834953830 45598003199899232 45995304836359480 49872815999889785 50533869525661520 52566062670125120 56997503999874040 61272316799864593 70747417335926128 73592487738175168 74229307534719680 79796505599823656 87587740671152960 88434271669907660 91196006399798464 91990609672718960 99745631999779570 101067739051323040 113995007999748080 122544633599729186 141494834671852256 159593011199647312 176868543339815320 183981219345437920 199491263999559140 202135478102646080 227990015999496160 245089267199458372 282989669343704512 306361583999322965 319186022399294624 353737086679630640 367962438690875840 398982527999118280 428906217599052151 455980031998992320 490178534398916744 612723167998645930 638372044798589248 707474173359261280 797965055998236560 857812435198104302 980357068797833488 1225446335997291860 1414948346718522560 1595930111996473120 1715624870396208604 1960714137595666976 2144531087995260755 2450892671994583720 3191860223992946240 3431249740792417208 3921428275191333952 4289062175990521510 4901785343989167440 6862499481584834416 8578124351981043020 9803570687978334880 13724998963169668832 17156248703962086040 19607141375956669760 27449997926339337664 34312497407924172080 68624994815848344160 137249989631696688320
- Sum of all divisors σ(n): 387632718302662201824
- Sum of proper divisors (its aliquot sum) s(n): 250382728670965513504
- 137249989631696688320 is an abundant number, because the sum of its proper divisors (250382728670965513504) is greater than itself. Its abundance is 113132739039268825184
Bases of 137249989631696688320
- Binary: 11101110000101110011110101001100011011011110101001111010100110000002
- Hexadecimal: 0x770B9EA636F53D4C0
- Base-36: SYRECST29MKZK
Squares and roots of 137249989631696688320
- 137249989631696688320 squared (1372499896316966883202) is 18837559653900848445553562994455224422400
- 137249989631696688320 cubed (1372499896316966883203) is 2585454867184359305642504952594192185740799143752464826368000
-
The
square root of 137249989631696688320 is 11715374071.3515711589 -
The
cube root of 137249989631696688320 is 5158270.4280805449
Scales and comparisons
How big is 137249989631696688320?- 137,249,989,631,696,688,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,249,989,631,696,688,320 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 137249989631696688320 cubic inches would be around 429855.9 feet tall.
Recreational maths with 137249989631696688320
- 137249989631696688320 backwards is 023886696136989942731
- The number of decimal digits it has is: 21
- The sum of 137249989631696688320's digits is 110
- More coming soon!
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MLA style:
"Number 137249989631696688320 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 137249989631696688320 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/137249989631696688320/
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Numbermatics. 2024. "Number 137249989631696688320 - Facts about the integer". https://numbermatics.com/n/137249989631696688320/
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