137294241425948672
137,294,241,425,948,672 is an even composite number composed of six prime numbers multiplied together.
What does the number 137294241425948672 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
137294241425948672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137294241425948672:
215 × 132 × 17 × 232 × 972 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 17 × 23 × 23 × 97 × 97 × 293)See below for interesting mathematical facts about the number 137294241425948672 from the Numbermatics database.
Names of 137294241425948672
- Cardinal: 137294241425948672 can be written as One hundred thirty-seven quadrillion, two hundred ninety-four trillion, two hundred forty-one billion, four hundred twenty-five million, nine hundred forty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.37294241425948672 × 1017
Factors of 137294241425948672
Divisors of 137294241425948672
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 8 13 16 17 23 26 32 34 46 52 64 68 92 97 104 128 136 169 184 194 208 221 256 272 293 299 338 368 388 391 416 442 512 529 544 586 598 676 736 776 782 832 884 1024 1058 1088 1172 1196 1261 1352 1472 1552 1564 1649 1664 1768 2048 2116 2176 2231 2344 2392 2522 2704 2873 2944 3104 3128 3298 3328 3536 3809 3887 4096 4232 4352 4462 4688 4784 4981 5044 5083 5408 5746 5888 6208 6256 6596 6656 6739 6877 7072 7618 7774 8192 8464 8704 8924 8993 9376 9409 9568 9962 10088 10166 10816 11492 11776 12416 12512 13192 13312 13478 13754 14144 15236 15548 16384 16393 16928 17408 17848 17986 18752 18818 19136 19924 20176 20332 21437 21632 22984 23552 24832 25024 26384 26624 26956 27508 28288 28421 29003 30472 31096 32768 32786 33856 34816 35696 35972 37504 37636 37927 38272 39848 40352 40664 42874 43264 45968 47104 49517 49664 50048 51313 52768 53248 53912 55016 56576 56842 58006 60944 62192 64753 65572 66079 67712 69632 71392 71944 75008 75272 75854 76544 79696 80704 81328 85748 86528 87607 89401 91936 94208 99034 99328 100096 102626 105536 106496 107824 110032 113152 113684 114563 116012 116909 121888 122317 124384 129506 131144 132158 135424 139264 142784 143888 150016 150544 151708 153088 154997 159392 159953 161408 162656 171496 173056 175214 178802 183872 188416 198068 198656 200192 205252 211072 212992 215648 216407 220064 226304 227368 229126 232024 233818 243776 244634 248768 259012 262288 264316 270848 278528 278681 285568 287776 300032 301088 303416 306176 309994 318784 319906 322816 325312 342992 346112 350428 357604 367744 369473 376832 377039 396136 397312 400384 410504 422144 425984 431296 432814 440128 452608 454736 458252 464048 467636 483157 487552 489268 493051 497536 518024 524576 528632 541696 557056 557362 571136 575552 600064 602176 606832 612352 619988 637568 639812 645632 650624 653683 667069 685984 692224 700856 715208 735488 738946 753664 754078 792272 794624 800768 821008 841789 844288 862592 865628 872321 880256 905216 909472 916504 928096 935272 966314 975104 978536 986102 995072 1036048 1049152 1057264 1083392 1114724 1138891 1142272 1151104 1200128 1204352 1213664 1224704 1239976 1275136 1279624 1291264 1301248 1307366 1334138 1371968 1384448 1401712 1430416 1470976 1477892 1489319 1508156 1519817 1584544 1589248 1590121 1601536 1642016 1683578 1688576 1725184 1731256 1744642 1760512 1810432 1818944 1833008 1856192 1870544 1932628 1950208 1957072 1972204 1990144 2014961 2072096 2079389 2098304 2114528 2166784 2229448 2277782 2284544 2302208 2400256 2408704 2427328 2449408 2479952 2550272 2559248 2582528 2602496 2614732 2634949 2668276 2743936 2756837 2768896 2803424 2813291 2860832 2941952 2955784 2978638 3016312 3039634 3169088 3178496 3180242 3203072 3284032 3367156 3377152 3450368 3462512 3489284 3521024 3620864 3637888 3666016 3678919 3712384 3741088 3865256 3900416 3914144 3944408 3980288 4029922 4144192 4158778 4196608 4229056 4333568 4458896 4555564 4569088 4604416 4800512 4803149 4817408 4854656 4898816 4959904 4977361 5100544 5118496 5165056 5204992 5229464 5269898 5336552 5487872 5513674 5537792 5606848 5626582 5721664 5883904 5911568 5957276 6032624 6079268 6281041 6338176 6360484 6406144 6409663 6568064 6734312 6754304 6900736 6925024 6978568 7042048 7241728 7275776 7332032 7357838 7424768 7482176 7730512 7800832 7828288 7888816 7960576 8059844 8288384 8317556 8393216 8458112 8497879 8667136 8671897 8917792 9111128 9138176 9208832 9601024 9606298 9634816 9709312 9797632 9919808 9954722 10201088 10236992 10330112 10409984 10458928 10539796 10673104 10975744 11027348 11112611 11213696 11253164 11340173 11443328 11767808 11823136 11914552 12065248 12158536 12562082 12676352 12720968 12812288 12819326 13136128 13468624 13508608 13801472 13850048 13957136 14084096 14551552 14664064 14715676 14849536 14964352 15034709 15461024 15601664 15656576 15777632 15921152 16119688 16576768 16635112 16786432 16916224 16995758 17334272 17343794 17835584 18222256 18276352 18417664 19212596 19269632 19361147 19418624 19839616 19909444 20402176 20473984 20660224 20819968 20917856 21079592 21346208 21951488 22054696 22225222 22427392 22506328 22680346 22886656 23535616 23646272 23829104 24130496 24317072 25124164 25352704 25441936 25638652 26194493 26272256 26937248 27017216 27032057 27602944 27700096 27914272 28168192 29103104 29328128 29431352 29699072 29928704 30069418 30922048 31203328 31313152 31555264 31842304 32239376 33153536 33270224 33572864 33832448 33991516 34254337 34687588 35671168 35838881 36444512 36552704 36572783 36835328 38425192 38539264 38722294 38837248 39679232 39818888 40804352 40947968 41320448 41639936 41835712 42159184 42692416 43902976 44109392 44450444 44854784 45012656 45360692 45773312 46866229 47071232 47292544 47658208 47825947 48260992 48634144 50248328 50705408 50883872 51277304 52388986 52544512 53874496 54034432 54064114 55205888 55400192 55828544 56336384 58206208 58656256 58862704 59398144 59857408 60138836 61844096 62406656 62626304 63110528 63407251 63684608 64478752 64705693 66307072 66540448 67145728 67664896 67983032 68508674 69375176 71342336 71677762 72889024 73105408 73145566 73670656 76850384 77078528 77444588 77674496 79358464 79637776 81608704 81653533 81895936 83279872 83671424 84318368 84615137 85384832 87805952 88218784 88900888 89709568 90025312 90721384 91546624 93732458 94142464 94585088 95316416 95651894 96521984 97268288 100496656 101410816 101767744 102554608 104777972 105089024 107748992 108128228 110411776 110472427 110800384 111657088 112672768 116412416 117312512 117725408 118796288 119714816 120277672 123688192 124813312 125252608 126221056 126814502 127369216 128957504 129411386 132614144 133080896 134291456 135329792 135966064 137017348 138750352 142684672 143355524 144463943 145778048 146291132 147341312 147422249 153700768 154157056 154889176 155348992 158716928 159275552 163217408 163307066 163791872 166559744 167342848 168636736 169230274 170769664 175611904 176437568 177801776 179419136 180050624 181442768 183093248 187464916 189170176 190632832 191303788 193043968 194536576 195451217 200993312 202821632 203535488 205109216 209555944 210178048 215497984 216256456 220823552 220944854 221600768 223314176 225345536 232824832 234625024 235450816 237592576 239429632 240555344 247376384 250505216 252442112 253629004 255590053 257915008 258822772 265228288 266161792 268582912 270659584 271932128 274034696 277500704 285369344 286711048 288927886 291556096 292582264 294682624 294844498 307401536 308314112 309778352 310697984 317433856 318551104 326614132 327583744 334685696 337273472 338460548 341539328 351223808 352875136 355603552 358838272 360101248 362885536 366186496 374929832 378340352 381265664 382607576 386087936 389073152 390902434 401986624 405643264 407070976 410218432 419111888 420356096 430995968 432512912 441889708 443201536 445306381 446628352 465649664 465905453 469250048 470901632 475185152 478859264 481110688 494752768 501010432 504884224 507258008 511180106 515830016 517645544 530456576 532323584 537165824 541319168 543864256 548069392 555001408 570738688 573422096 577855772 583112192 585164528 589688996 609260977 614803072 619556704 621395968 621737311 634867712 637102208 653228264 655167488 669371392 674546944 676921096 683078656 702447616 705750272 711207104 717676544 720202496 725771072 732372992 749859664 756680704 762531328 765215152 772175872 778146304 781804868 803973248 811286528 814141952 820436864 824294263 838223776 840712192 841174009 861991936 865025824 883779416 886403072 890612762 893256704 931299328 931810906 938500096 941803264 950370304 957718528 962221376 989505536 1002020864 1009768448 1014516016 1022360212 1031660032 1035291088 1060913152 1064647168 1077923267 1082638336 1087728512 1096138784 1099996781 1110002816 1141477376 1146844192 1155711544 1166224384 1170329056 1179377992 1218521954 1229606144 1239113408 1242791936 1243474622 1269735424 1274204416 1306456528 1310334976 1338742784 1349093888 1353842192 1366157312 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9836849152 9912907264 9947796976 10163463284 10193635328 10451652224 10709942272 10715825419 10792751104 10830737536 10929258496 11292004352 11379313664 11523239936 11612337152 11666934184 11997754624 12106891264 12200501248 12243442432 12354813952 12450340864 12508877888 12863571968 13026271232 13126989824 13188708208 13290682756 13411580416 13458784144 13791870976 13840413184 14013002471 14140470656 14249804192 14292107264 14299958153 14908974496 15024250072 15068852224 15395542016 15832088576 15840785402 16156295168 16232256256 16357763392 16506560512 16564657408 17034354688 17246772272 17403656192 17538220544 17599948496 17760045056 18349507072 18491384704 18659590144 18725264896 18870047872 18958768049 19496351264 19673698304 19825814528 19895593952 20326926568 20387270656 20903304448 21419884544 21431650838 21585502208 21661475072 21858516992 22584008704 22758627328 23046479872 23224674304 23333868368 23995509248 24401002496 24486884864 24792235141 24900681728 25017755776 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71040180224 73398028288 73965538816 74901059584 75480191488 75835072196 77985405056 78694793216 79303258112 79582375808 81307706272 81549082624 83613217792 85726603352 86342008832 86389437914 86645900288 90336034816 91034509312 92185919488 92898697216 93335473472 95982036992 97947539456 99168940564 100071023104 102908575744 105015918592 105509665664 106325462048 107292643328 107670273152 110723305472 112104019768 113123765248 113998433536 114399665224 119271795968 120194000576 120550817792 123164336128 126726283216 129858050048 130862107136 132517259264 137974178176 139229249536 140305764352 140799587968 142080360448 146796056576 147931077632 149802119168 150960382976 151670144392 155970810112 157389586432 158606516224 159164751616 162615412544 163098165248 167226435584 171453206704 172778875828 173291800576 182069018624 182169032123 185797394432 186670946944 191964073984 195895078912 198337881128 200142046208 205817151488 210031837184 211019331328 212650924096 214585286656 215340546304 221446610944 224208039536 226247530496 227996867072 228799330448 238543591936 240388001152 246328672256 246463984637 253452566432 259716100096 261724214272 265034518528 275948356352 278458499072 280611528704 281599175936 284160720896 293592113152 295862155264 299604238336 301920765952 303340288784 311941620224 317213032448 318329503232 322299056833 325230825088 334452871168 342906413408 345557751656 346583601152 364138037248 364338064246 371594788864 373341893888 383928147968 391790157824 396675762256 400284092416 422038662656 425301848192 429170573312 430681092608 442893221888 448416079072 452495060992 455993734144 457598660896 477087183872 480776002304 492657344512 492927969274 506905132864 519432200192 523448428544 530069037056 551896712704 561223057408 563198351872 587184226304 591724310528 599208476672 603841531904 606680577568 623883240448 634426064896 636659006464 644598113666 650461650176 668905742336 685812826816 691115503312 693167202304 728676128492 746683787776 767856295936 783580315648 793351524512 800568184832 844077325312 850603696384 858341146624 861362185216 885786443776 896832158144 904990121984 911987468288 915197321792 954174367744 961552004608 985855938548 1013810265728 1038864400384 1046896857088 1060138074112 1103793425408 1122446114816 1126396703744 1174368452608 1183448621056 1198416953344 1207683063808 1213361155136 1247766480896 1273318012928 1289196227332 1300923300352 1337811484672 1371625653632 1382231006624 1386334404608 1457352256984 1493367575552 1535712591872 1567160631296 1586703049024 1601136369664 1688154650624 1701207392768 1722724370432 1793664316288 1809980243968 1823974936576 1830394643584 1908348735488 1923104009216 1971711877096 2027620531456 2077728800768 2093793714176 2120276148224 2207586850816 2252793407488 2366897242112 2415366127616 2426722310272 2495532961792 2546636025856 2578392454664 2601846600704 2675622969344 2743251307264 2764462013248 2772668809216 2914704513968 2986735151104 3173406098048 3202272739328 3376309301248 3402414785536 3445448740864 3587328632576 3619960487936 3647949873152 3660789287168 3816697470976 3846208018432 3943423754192 4055241062912 4187587428352 4189887738829 4415173701632 4505586814976 4733794484224 4830732255232 4853444620544 4991065923584 5093272051712 5156784909328 5203693201408 5486502614528 5528924026496 5829409027936 5973470302208 6346812196096 6404545478656 6752618602496 6804829571072 6890897481728 7174657265152 7295899746304 7321578574336 7633394941952 7692416036864 7886847508384 8110482125824 8375174856704 8379775477658 8830347403264 9011173629952 9706889241088 9982131847168 10186544103424 10313569818656 10407386402816 10973005229056 11057848052992 11658818055872 11946940604416 12693624392192 13505237204992 13609659142144 13781794963456 14349314530304 14591799492608 14643157148672 15266789883904 15384832073728 15773695016768 16220964251648 16759550955316 17660694806528 18022347259904 19413778482176 19964263694336 20373088206848 20627139637312 20814772805632 21946010458112 22115696105984 23317636111744 23893881208832 25387248784384 27010474409984 27219318284288 27563589926912 28698629060608 29286314297344 30769664147456 31547390033536 32441928503296 33519101910632 35321389613056 36044694519808 38827556964352 41254279274624 41629545611264 43892020916224 44231392211968 46635272223488 47787762417664 50774497568768 54438636568576 57397258121216 58572628594688 61539328294912 63094780067072 64883857006592 67038203821264 77655113928704 82508558549248 83259091222528 87784041832448 88462784423936 93270544446976 101548995137536 108877273137152 114794516242432 117145257189376 126189560134144 129767714013184 134076407642528 155310227857408 165017117098496 175568083664896 176925568847872 186541088893952 203097990275072 229589032484864 234290514378752 252379120268288 259535428026368 268152815285056 310620455714816 330034234196992 351136167329792 353851137695744 373082177787904 406195980550144 459178064969728 468581028757504 504758240536576 536305630570112 621240911429632 660068468393984 707702275391488 746164355575808 812391961100288 1009516481073152 1072611261140224 1320136936787968 1415404550782976 1492328711151616 2019032962146304 2145222522280448 2640273873575936 2984657422303232 4038065924292608 4290445044560896 5280547747151872 5969314844606464 8076131848585216 8580890089121792 10561095494303744 17161780178243584 34323560356487168 68647120712974336 137294241425948672
- Sum of all divisors σ(n): 333666690841979460
- Sum of proper divisors (its aliquot sum) s(n): 196372449416030788
- 137294241425948672 is an abundant number, because the sum of its proper divisors (196372449416030788) is greater than itself. Its abundance is 59078207990082116
Bases of 137294241425948672
- Binary: 1111001111100010001100010100110011110011010000000000000002
- Hexadecimal: 0x1E7C46299E68000
- Base-36: 11JUQVSGQRY8
Squares and roots of 137294241425948672
- 137294241425948672 squared (1372942414259486722) is 18849708728726680435828175178563584
- 137294241425948672 cubed (1372942414259486723) is 2587956461010612887474516300165319173012265472360448
-
The
square root of 137294241425948672 is 370532375.6784940813 -
The
cube root of 137294241425948672 is 515882.4740676421
Scales and comparisons
How big is 137294241425948672?- 137,294,241,425,948,672 seconds is equal to 4,365,532,198 years, 19 weeks, 2 days, 17 hours, 44 minutes, 32 seconds.
-
To count from 1 to 137,294,241,425,948,672 would take you about thirteen billion, ninety-six million, five hundred ninety-six thousand, five hundred ninety-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 137294241425948672 cubic inches would be around 42990.2 feet tall.
Recreational maths with 137294241425948672
- 137294241425948672 backwards is 276849524142492731
- The number of decimal digits it has is: 18
- The sum of 137294241425948672's digits is 80
- More coming soon!
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Cite this page
MLA style:
"Number 137294241425948672 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
APA style:
Numbermatics. (2024). Number 137294241425948672 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/137294241425948672/
Chicago style:
Numbermatics. 2024. "Number 137294241425948672 - Facts about the integer". https://numbermatics.com/n/137294241425948672/
The information we have on file for 137294241425948672 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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