137189321355716136
137,189,321,355,716,136 is an even composite number composed of six prime numbers multiplied together.
What does the number 137189321355716136 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
137189321355716136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 137189321355716136:
23 × 32 × 133 × 172 × 292 × 18892
(2 × 2 × 2 × 3 × 3 × 13 × 13 × 13 × 17 × 17 × 29 × 29 × 1889 × 1889)See below for interesting mathematical facts about the number 137189321355716136 from the Numbermatics database.
Names of 137189321355716136
- Cardinal: 137189321355716136 can be written as One hundred thirty-seven quadrillion, one hundred eighty-nine trillion, three hundred twenty-one billion, three hundred fifty-five million, seven hundred sixteen thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 1.37189321355716136 × 1017
Factors of 137189321355716136
Divisors of 137189321355716136
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 17 18 24 26 29 34 36 39 51 52 58 68 72 78 87 102 104 116 117 136 153 156 169 174 204 221 232 234 261 289 306 312 338 348 377 408 442 468 493 507 522 578 612 663 676 696 754 841 867 884 936 986 1014 1044 1131 1156 1224 1326 1352 1479 1508 1521 1682 1734 1768 1889 1972 1989 2028 2088 2197 2262 2312 2523 2601 2652 2873 2958 3016 3042 3364 3393 3468 3757 3778 3944 3978 4056 4394 4437 4524 4901 5046 5202 5304 5667 5746 5916 6084 6409 6591 6728 6786 6936 7514 7556 7569 7956 8381 8619 8788 8874 9048 9802 10092 10404 10933 11271 11334 11492 11832 12168 12818 13182 13572 14297 14703 15028 15112 15138 15912 16762 17001 17238 17576 17748 19227 19604 19773 20184 20808 21866 22542 22668 22984 24557 25143 25636 25857 26364 27144 28594 29406 30056 30276 32113 32799 33524 33813 34002 34476 35496 37349 38454 39208 39546 42891 43732 44109 45084 45336 48841 49114 50286 51272 51714 52728 54781 57188 57681 58812 60552 63713 64226 65598 67048 67626 68004 68952 73671 74698 75429 76908 79092 83317 85782 87464 88218 90168 96339 97682 98228 98397 100572 103428 108953 109562 112047 114376 115362 117624 127426 128452 128673 131196 135252 136008 142129 146523 147342 149396 150858 153816 158184 164343 166634 171564 176436 185861 191139 192678 195364 196456 196794 201144 206856 217906 219124 221013 224094 230724 243049 249951 254852 256904 257346 262392 270504 284258 289017 293046 294684 298792 301716 319241 326859 328686 333268 336141 343128 352872 371722 382278 385356 390728 393588 417469 426387 435812 438248 439569 442026 448188 461448 486098 493029 499902 509704 514692 545921 557583 568516 573417 578034 586092 589368 603432 634933 638482 653718 657372 666536 672282 712153 729147 743444 749853 764556 770712 787176 834938 852774 871624 879138 884052 896376 931277 957723 972196 980577 986058 999804 1029384 1083121 1091842 1115166 1137032 1146834 1156068 1172184 1252407 1269866 1276964 1279161 1307436 1314744 1344564 1416389 1424306 1458294 1486888 1499706 1529112 1588649 1637763 1669876 1672749 1705548 1758276 1768104 1847677 1862554 1904799 1915446 1944392 1961154 1972116 1999608 2136459 2166242 2183684 2187441 2230332 2293668 2312136 2416193 2504814 2539732 2553928 2558322 2614872 2689128 2793831 2832778 2848612 2873169 2916588 2999412 3159637 3177298 3249363 3275526 3339752 3345498 3411096 3516552 3568321 3695354 3725108 3757221 3809598 3830892 3922308 3944232 4150133 4249167 4272918 4332484 4367368 4374882 4460664 4587336 4765947 4832386 4913289 5009628 5079464 5116644 5427097 5543031 5587662 5665556 5697224 5714397 5746338 5833176 5998824 6319274 6354596 6409377 6498726 6551052 6690996 7096973 7136642 7248579 7390708 7450216 7514442 7619196 7661784 7844616 8300266 8381493 8498334 8545836 8664968 8749764 9257989 9478911 9531894 9664772 9748089 9826578 10019256 10233288 10704963 10854194 11086062 11175324 11331112 11428794 11492676 12106601 12450399 12638548 12709192 12747501 12818754 12997452 13102104 13381992 14193946 14273284 14297841 14497158 14781416 15028884 15238392 15831709 16281291 16600532 16629093 16762986 16996668 17091672 17499528 18413057 18515978 18957822 19063788 19329544 19496178 19653156 20652437 21290919 21409926 21708388 21745737 22172124 22350648 22857588 22985352 24213202 24900798 25277096 25495002 25637508 25994904 27007033 27773967 28387892 28436733 28546568 28595682 28994316 30057768 31410509 31663418 32114889 32562582 33201064 33258186 33525972 33993336 36319803 36826114 37031956 37351197 37915644 38127576 38992356 39306312 41075281 41304874 42581838 42819852 43416776 43491474 44344248 45715176 46388173 47495127 48426404 48843873 49801596 50990004 51275016 54014066 55239171 55547934 56775784 56873466 57191364 57988632 60661457 61957311 62821018 63326836 63872757 64229778 65125164 66516372 67051944 70552261 72639606 73652228 74063912 74702394 75831288 77984712 81021099 82150562 82609748 83321901 85163676 85639704 86982948 92260649 92776346 94231527 94990254 96852808 97687746 99603192 101980008 103481309 108028132 108959409 110478342 111095868 113746932 114382728 120353857 121322914 123225843 123914622 125642036 126653672 127745514 128459556 130250328 133032744 139164519 141104522 142485381 145279212 147304456 149404788 157385813 162042198 164301124 165219496 165717513 166643802 170327352 173965896 181984371 184521298 185552692 185871933 188463054 189980508 195375492 205812217 206962618 211656783 216056264 217918818 220956684 222191736 227493864 240707714 242645828 243063297 246451686 247829244 251284072 255491028 256919112 268481681 276781947 278329038 282209044 282694581 284970762 290558424 298809576 310443927 314771626 324084396 328602248 331435026 333287604 351091429 361061571 363968742 369042596 369677529 371105384 371743866 376926108 379961016 390750984 411624434 413925236 417493557 423313566 435837636 441913368 459119561 472157439 481415428 485291656 486126594 492903372 495658488 510982056 533978653 536963362 545953113 553563894 556658076 564418088 565389162 569941524 603046249 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3159822861 3203871918 3221780172 3321383364 3339948456 3490261853 3518364506 3598165311 3618277494 3672956488 3704619906 3725327124 3777259512 4035771051 4092031138 4124979076 4132076049 4213097148 4271829224 4332738852 4367624904 4564188577 4731593646 4797553748 4805807877 4824369992 4832670258 4939493208 5079762792 5277546759 5351117642 5381028068 5427416241 5509434732 5665889268 5968554293 6001915922 6138046707 6187468614 6308791528 6319645722 6407743836 6443560344 6642766728 6980523706 7036729012 7097390469 7196330622 7236554988 7409239812 7450654248 7839601237 8026676463 8071542102 8184062276 8249958152 8264152098 8426194296 8665477704 9002873883 9128377154 9281202921 9463187292 9595107496 9611615754 9665340516 10251786233 10470785559 10555093518 10702235284 10762056136 10794495933 10854832482 11018869464 11331778536 11937108586 12003831844 12107313153 12276093414 12374937228 12639291444 12815487672 13406181997 13692565731 13961047412 14073458024 14194780938 14392661244 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69564529346 69953364884 70556411133 71622651516 72022991064 73656560484 74249623368 77591205809 78024906986 80437091982 82014289864 82155394386 83766284472 86355967464 89718294903 91477477156 92266076097 94075214844 96320117556 96858505224 102032570674 104346794019 104930047326 107249455976 107433977274 108034486596 109540525848 117037360479 118668903002 119624393204 120655637973 123021434796 125649426708 126661122216 133273221029 137216215734 139129058692 139906729768 141112822266 143245303032 147313120968 153048856011 155182411618 156049813972 157395070989 160874183964 164310788772 174280365961 178003354503 179436589806 182954954312 184532152194 188150429688 192640235112 204065141348 205824323601 208693588038 209860094652 214867954548 216068973192 227348435873 232773617427 234074720958 237337806004 239248786408 241311275946 246042869592 251298853416 266546442058 269154884709 274432431468 278258117384 282225644532 297301800757 306097712022 310364823236 312099627944 313040382057 314790141978 321748367928 328621577544 348560731922 351112081437 356006709006 358873179612 369064304388 388779277913 399819663087 408130282696 411648647202 417387176076 419720189304 429735909096 454696871746 459146568033 465547234854 468149441916 474675612008 482622551892 507161895409 522841097883 533092884116 534010063509 538309769418 548864862936 564451289064 594603601514 612195424044 620729646472 626080764114 629580283956 663211709381 682045307619 697121463844 698320852281 702224162874 712013418012 717746359224 738128608776 777558555826 799639326174 823297294404 834774352152 867276850729 891905402271 909393743492 918293136066 931094469708 936298883832 965245103784 1008685675517 1014323790818 1045682195766 1066185768232 1068020127018 1076619538836 1166337833739 1189207203028 1199458989261 1224390848088 1252161528228 1259160567912 1326423418762 1364090615238 1394242927688 1396641704562 1404448325748 1424026836024 1521485686227 1555117111652 1568523293649 1599278652348 1646594588808 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10702864827252 11274599059477 11594770229523 11937810768858 12104228106204 12171885489816 12548186349192 13186209280634 13593868544958 13996054004868 15162391838607 15459693639364 15610983313122 15917081025144 16369087382856 17243504443906 18125158059944 18156342159306 18257828234724 19779313920951 20216522451476 20390802817437 20814644417496 21405729654504 22549198118954 23189540459046 23875621537716 24208456212408 25865256665859 26372418561268 27187737089916 27992108009736 30324783677214 30919387278728 31221966626244 33823797178431 34487008887812 34784310688569 36312684318612 36515656469448 39558627841902 40433044902952 40781605634874 45098396237908 45487175515821 46379080918092 47751243075432 51730513331718 52744837122536 54375474179832 59337941762853 60649567354428 62443933252488 65703697967297 67647594356862 68974017775624 69568621377138 72625368637224 77595769997577 79117255683804 81563211269748 90196792475816 90974351031642 92758161836184 101471391535293 103461026663436 112082778885389 118675883525706 121299134708856 131407395934594 135295188713724 139137242754276 146569787773201 155191539995154 158234511367608 163126422539496 181948702063284 197111093901891 202942783070586 206922053326872 224165557770778 237351767051412 262814791869188 270590377427448 278274485508552 293139575546402 310383079990308 336248336656167 363897404126568 394222187803782 405885566141172 439709363319603 448331115541556 474703534102824 525629583738376 586279151092804 591333281705673 620766159980616 672496673312334 788444375607564 811771132282344 879418726639206 896662231083112 1008745009968501 1172558302185608 1182666563411346 1319128089958809 1344993346624668 1576888751215128 1758837453278412 1905407241051613 2017490019937002 2365333126822692 2638256179917618 2689986693249336 3517674906556824 3810814482103226 4034980039874004 4730666253645384 5276512359835236 5716221723154839 7621628964206452 8069960079748008 10553024719670472 11432443446309678 15243257928412904 17148665169464517 22864886892619356 34297330338929034 45729773785238712 68594660677858068 137189321355716136
- Sum of all divisors σ(n): 443059428166964700
- Sum of proper divisors (its aliquot sum) s(n): 305870106811248564
- 137189321355716136 is an abundant number, because the sum of its proper divisors (305870106811248564) is greater than itself. Its abundance is 168680785455532428
Bases of 137189321355716136
- Binary: 1111001110110010011110101111111100110001001100110001010002
- Hexadecimal: 0x1E764F5FE626628
- Base-36: 11ITK06BVSQ0
Squares and roots of 137189321355716136
- 137189321355716136 squared (1371893213557161362) is 18820909894041951459701281410770496
- 137189321355716136 cubed (1371893213557161363) is 2582027855660698609784150054718025970761125619923456
-
The
square root of 137189321355716136 is 370390768.4536915345 -
The
cube root of 137189321355716136 is 515751.0283529853
Scales and comparisons
How big is 137189321355716136?- 137,189,321,355,716,136 seconds is equal to 4,362,196,064 years, 35 weeks, 2 days, 15 minutes, 36 seconds.
-
To count from 1 to 137,189,321,355,716,136 would take you about thirteen billion, eighty-six million, five hundred eighty-eight thousand, one hundred ninety-four 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 137189321355716136 cubic inches would be around 42979.3 feet tall.
Recreational maths with 137189321355716136
- 137189321355716136 backwards is 631617553123981731
- 137189321355716136 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137189321355716136's digits is 72
- More coming soon!
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"Number 137189321355716136 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 137189321355716136 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/137189321355716136/
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The information we have on file for 137189321355716136 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 137189321355716136, math, Factors of 137189321355716136, curriculum, school, college, exams, university, Prime factorization of 137189321355716136, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, one hundred eighty-nine trillion, three hundred twenty-one billion, three hundred fifty-five million, seven hundred sixteen thousand, one hundred thirty-six.