137946015747072
137,946,015,747,072 is an even composite number composed of five prime numbers multiplied together.
What does the number 137946015747072 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1056 divisors.
137946015747072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 137946015747072:
210 × 33 × 132 × 313 × 991
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 31 × 31 × 31 × 991)See below for interesting mathematical facts about the number 137946015747072 from the Numbermatics database.
Names of 137946015747072
- Cardinal: 137946015747072 can be written as One hundred thirty-seven trillion, nine hundred forty-six billion, fifteen million, seven hundred forty-seven thousand and seventy-two.
Scientific notation
- Scientific notation: 1.37946015747072 × 1014
Factors of 137946015747072
Divisors of 137946015747072
- Number of divisors d(n): 1056
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 78 93 96 104 108 117 124 128 144 156 169 186 192 208 216 234 248 256 279 288 312 338 351 372 384 403 416 432 468 496 507 512 558 576 624 676 702 744 768 806 832 837 864 936 961 991 992 1014 1024 1116 1152 1209 1248 1352 1404 1488 1521 1536 1612 1664 1674 1728 1872 1922 1982 1984 2028 2232 2304 2418 2496 2704 2808 2883 2973 2976 3042 3072 3224 3328 3348 3456 3627 3744 3844 3964 3968 4056 4464 4563 4608 4836 4992 5239 5408 5616 5766 5946 5952 6084 6448 6656 6696 6912 7254 7488 7688 7928 7936 8112 8649 8919 8928 9126 9216 9672 9984 10478 10816 10881 11232 11532 11892 11904 12168 12493 12883 12896 13312 13392 13824 14508 14976 15376 15717 15856 15872 16224 17298 17838 17856 18252 19344 19968 20956 21632 21762 22464 23064 23784 23808 24336 24986 25766 25792 25947 26757 26784 27648 29016 29791 29952 30721 30752 31434 31712 31744 32448 34596 35676 35712 36504 37479 38649 38688 39936 41912 43264 43524 44928 46128 47151 47568 47616 48672 49972 51532 51584 51894 53514 53568 58032 59582 59904 61442 61504 62868 63424 64896 69192 71352 71424 73008 74958 77298 77376 83824 86528 87048 89373 89856 92163 92256 94302 95136 95232 97344 99944 103064 103168 103788 107028 107136 112437 115947 116064 119164 119808 122884 123008 125736 126848 129792 138384 141453 142704 142848 146016 149916 154596 154752 162409 167479 167648 173056 174096 178746 179712 184326 184512 188604 190272 194688 199888 206128 206336 207576 214056 214272 224874 231894 232128 238328 245768 246016 251472 253696 259584 268119 276489 276768 282906 285408 285696 292032 299832 309192 309504 324818 334958 335296 337311 347841 348192 357492 359424 368652 369024 377208 380544 387283 389376 399373 399776 412256 412672 415152 428112 428544 449748 463788 464256 476656 487227 491536 492032 502437 502944 507392 519168 536238 552978 553536 565812 570816 584064 599664 618384 619008 649636 669916 670592 674622 695682 696384 714984 737304 738048 754416 761088 774566 778752 798746 799552 804357 824512 829467 830304 856224 857088 899496 927576 928512 952351 953312 974454 983072 984064 1004874 1005888 1014784 1072476 1105956 1107072 1131624 1141632 1161849 1168128 1198119 1199328 1236768 1238016 1299272 1339832 1341184 1349244 1391364 1392768 1429968 1461681 1474608 1476096 1507311 1508832 1522176 1549132 1557504 1597492 1599104 1608714 1649024 1658934 1660608 1712448 1798992 1855152 1857024 1904702 1906624 1948908 1966144 2009748 2011776 2144952 2211912 2214144 2263248 2283264 2323698 2336256 2396238 2398656 2473536 2598544 2679664 2682368 2698488 2782728 2785536 2857053 2859936 2923362 2949216 2952192 3014622 3017664 3044352 3098264 3194984 3198208 3217428 3298048 3317868 3321216 3424896 3485547 3594357 3597984 3710304 3714048 3809404 3813248 3897816 3932288 4019496 4023552 4289904 4385043 4423824 4428288 4521933 4526496 4566528 4647396 4672512 4792476 4797312 4947072 5034679 5191849 5197088 5359328 5364736 5396976 5565456 5571072 5714106 5719872 5846724 5898432 6029244 6035328 6196528 6389968 6396416 6434856 6596096 6635736 6642432 6849792 6971094 7188714 7195968 7420608 7618808 7626496 7795632 7864576 8038992 8047104 8571159 8579808 8770086 8847648 8856576 9043866 9052992 9133056 9294792 9584952 9594624 9894144 10069358 10383698 10394176 10456641 10718656 10783071 10793952 11130912 11142144 11428212 11439744 11693448 11796864 12058488 12070656 12380563 12393056 12779936 12792832 12869712 13192192 13271472 13284864 13699584 13942188 14377428 14391936 14841216 15104037 15237616 15252992 15575547 15591264 15729152 16077984 16094208 17142318 17159616 17540172 17695296 18087732 18105984 18589584 19169904 19189248 19788288 20138716 20767396 20788352 20913282 21437312 21566142 21587904 22261824 22856424 22879488 23386896 23593728 24116976 24141312 24761126 24786112 25559872 25713477 25739424 26542944 26569728 27399168 27884376 28754856 28783872 29522881 29682432 30208074 30475232 30505984 31151094 31182528 31458304 32155968 34284636 34319232 35080344 35390592 36175464 36211968 37141689 37179168 38339808 38378496 39576576 40277432 41534792 41576704 41826564 42874624 43132284 43175808 44523648 45312111 45712848 45758976 46726641 46773792 47187456 48233952 48282624 49522252 49572224 51119744 51426954 51478848 53085888 55768752 57509712 57567744 59045762 59364864 60416148 60950464 62302188 62365056 64311936 68569272 68638464 70160688 70781184 72350928 72423936 74283378 74358336 76679616 80554864 83069584 83153408 83653128 85749248 86264568 86351616 88568643 89047296 90624222 91425696 91517952 93453282 93547584 94374912 96467904 99044504 99144448 102239488 102853908 102957696 106171776 111425067 111537504 115019424 115135488 118091524 118729728 120832296 121900928 124604376 124730112 128623872 135936333 137138544 137276928 140179923 140321376 141562368 144701856 144847872 148566756 148716672 153359232 160947319 161109728 166139168 166306816 167306256 171498496 172529136 172703232 177137286 178094592 181248444 182851392 186906564 187095168 192935808 198089008 198288896 204478976 205707816 205915392 212343552 222850134 223075008 230038848 236183048 241664592 243801856 249208752 249460224 257247744 265705929 271872666 274277088 274553856 280359846 280642752 283124736 289403712 297133512 297433344 306718464 321894638 322219456 332278336 334275201 334612512 345058272 345406464 354274572 356189184 362496888 365702784 373813128 374190336 383797453 385871616 396178016 396577792 408957952 411415632 411830784 424687104 445700268 446150016 460077696 472366096 482841957 483329184 487603712 498417504 498920448 514495488 531411858 543745332 548554176 560719692 561285504 578807424 594267024 594866688 613436928 643789276 644438912 664556672 668550402 669225024 690116544 708549144 724993776 731405568 747626256 748380672 767594906 771743232 792356032 797117787 822831264 823661568 849374208 891400536 892300032 920155392 944732192 965683914 966658368 975207424 996835008 1062823716 1087490664 1097108352 1121439384 1122571008 1151392359 1157614848 1188534048 1189733376 1226873856 1287578552 1288877824 1329113344 1337100804 1338450048 1380233088 1417098288 1448525871 1449987552 1462811136 1495252512 1496761344 1535189812 1543486464 1584712064 1594235574 1645662528 1782801072 1784600064 1840310784 1889464384 1931367828 1933316736 1993670016 2125647432 2174981328 2194216704 2242878768 2245142016 2302784718 2315229696 2377068096 2575157104 2577755648 2658226688 2674201608 2676900096 2760466176 2834196576 2897051742 2899975104 2925622272 2990505024 3070379624 3169424128 3188471148 3291325056 3454177077 3565602144 3569200128 3680621568 3778928768 3862735656 3866633472 3987340032 4251294864 4345577613 4349962656 4388433408 4485757536 4490284032 4605569436 4630459392 4754136192 4989366889 5150314208 5155511296 5316453376 5348403216 5353800192 5520932352 5668393152 5794103484 5799950208 5981010048 6140759248 6338848256 6376942296 6582650112 6908354154 7131204288 7557857536 7725471312 7733266944 7974680064 8502589728 8691155226 8699925312 8776866816 8971515072 9211138872 9508272384 9978733778 10300628416 10362531231 10696806432 10707600384 11041864704 11336786304 11588206968 11599900416 11962020096 12281518496 12677696512 12753884592 13165300224 13816708308 14262408576 14968100667 15115715072 15450942624 15466533888 15949360128 17005179456 17382310452 17399850624 17943030144 18422277744 19016544768 19957467556 20601256832 20725062462 21393612864 22673572608 23176413936 23199800832 23924040192 24563036992 25507769184 26330600448 27633416616 28524817152 29936201334 30231430144 30901885248 34010358912 34764620904 34799701248 35886060288 36844555488 38033089536 39914935112 41202513664 41450124924 42787225728 44904302001 45347145216 46352827872 46399601664 47848080384 49126073984 51015538368 55266833232 57049634304 59872402668 61803770496 68020717824 69529241808 69599402496 71772120576 73689110976 79829870224 82405027328 82900249848 85574451456 89808604002 90694290432 92705655744 98252147968 102031076736 110533666464 114099268608 119744805336 123607540992 134712906003 136041435648 139058483616 139198804992 143544241152 147378221952 159659740448 164810054656 165800499696 171148902912 179617208004 185411311488 196504295936 204062153472 221067332928 239489610672 247215081984 269425812006 272082871296 278116967232 294756443904 319319480896 331600999392 342297805824 359234416008 370822622976 393008591872 408124306944 442134665856 478979221344 494430163968 538851624012 556233934464 589512887808 638638961792 663201998784 718468832016 741645245952 816248613888 884269331712 957958442688 1077703248024 1112467868928 1179025775616 1277277923584 1326403997568 1436937664032 1483290491904 1768538663424 1915916885376 2155406496048 2224935737856 2554555847168 2652807995136 2873875328064 3537077326848 3831833770752 4310812992096 4449871475712 5109111694336 5305615990272 5747750656128 7663667541504 8621625984192 10611231980544 11495501312256 15327335083008 17243251968384 22991002624512 34486503936768 45982005249024 68973007873536 137946015747072
- Sum of all divisors σ(n): 457578537861120
- Sum of proper divisors (its aliquot sum) s(n): 319632522114048
- 137946015747072 is an abundant number, because the sum of its proper divisors (319632522114048) is greater than itself. Its abundance is 181686506366976
Bases of 137946015747072
- Binary: 111110101110110000011110100010001001100000000002
- Hexadecimal: 0x7D760F444C00
- Base-36: 1CWBIW45C0
Squares and roots of 137946015747072
- 137946015747072 squared (1379460157470722) is 19029103260491436194276573184
- 137946015747072 cubed (1379460157470723) is 2624988978024410795649077299119249841717248
-
The
square root of 137946015747072 is 11745042.1773219699 -
The
cube root of 137946015747072 is 51669.7531982935
Scales and comparisons
How big is 137946015747072?- 137,946,015,747,072 seconds is equal to 4,386,256 years, 31 weeks, 3 days, 11 hours, 31 minutes, 12 seconds.
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To count from 1 to 137,946,015,747,072 would take you about ten million, nine hundred sixty-five thousand, six hundred forty-one 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 137946015747072 cubic inches would be around 4305.8 feet tall.
Recreational maths with 137946015747072
- 137946015747072 backwards is 270747510649731
- The number of decimal digits it has is: 15
- The sum of 137946015747072's digits is 63
- More coming soon!
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The information we have on file for 137946015747072 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!
Keywords: Divisors of 137946015747072, math, Factors of 137946015747072, curriculum, school, college, exams, university, Prime factorization of 137946015747072, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, nine hundred forty-six billion, fifteen million, seven hundred forty-seven thousand and seventy-two.