137983715088128
137,983,715,088,128 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137983715088128 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
137983715088128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 137983715088128:
28 × 72 × 132 × 19 × 31 × 59 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 19 × 31 × 59 × 1873)See below for interesting mathematical facts about the number 137983715088128 from the Numbermatics database.
Names of 137983715088128
- Cardinal: 137983715088128 can be written as One hundred thirty-seven trillion, nine hundred eighty-three billion, seven hundred fifteen million, eighty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37983715088128 × 1014
Factors of 137983715088128
Divisors of 137983715088128
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 31 32 38 49 52 56 59 62 64 76 91 98 104 112 118 124 128 133 152 169 182 196 208 217 224 236 247 248 256 266 304 338 364 392 403 413 416 434 448 472 494 496 532 589 608 637 676 728 767 784 806 826 832 868 896 931 944 988 992 1064 1121 1178 1183 1216 1274 1352 1456 1519 1534 1568 1612 1652 1664 1729 1736 1792 1829 1862 1873 1888 1976 1984 2128 2242 2356 2366 2432 2548 2704 2821 2891 2912 3038 3068 3136 3211 3224 3304 3328 3458 3472 3658 3724 3746 3776 3952 3968 4123 4256 4484 4712 4732 4864 5096 5239 5369 5408 5642 5782 5824 6076 6136 6272 6422 6448 6608 6916 6944 7316 7448 7492 7552 7657 7847 7904 7936 8246 8281 8512 8968 9424 9464 9971 10192 10478 10738 10816 11284 11564 11648 12103 12152 12272 12544 12803 12844 12896 13111 13216 13832 13888 14573 14632 14896 14984 15104 15314 15694 15808 16492 16562 17024 17936 18848 18928 19747 19942 20384 20956 21476 21632 22477 22568 23128 23296 23777 24206 24304 24349 24544 25606 25688 25792 26222 26432 27664 27776 28861 29146 29264 29792 29968 30628 31388 31616 32984 33124 34048 34751 35587 35872 36673 37583 37696 37856 39494 39884 40768 41912 42952 43264 44954 45136 46256 47554 48412 48608 48698 49088 51212 51376 51584 52444 52864 53599 54929 55328 55552 57722 58063 58292 58528 59584 59936 61256 62776 63232 65968 66248 69502 69797 71174 71744 73346 75166 75392 75712 78988 79768 81536 83824 85904 89621 89908 90272 91777 92512 95108 96824 97216 97396 98176 99541 102011 102424 102752 103168 104888 105728 107198 109858 110507 110656 115444 116126 116584 117056 119168 119872 122512 125552 131936 132496 139004 139594 142348 143488 146692 150332 150784 151424 157339 157976 159536 163072 166439 167648 170443 171808 179242 179816 180544 183554 185024 189449 190216 193648 194432 194792 196352 199082 204022 204848 205504 209776 214396 219716 221014 221312 230888 232252 233168 234112 238336 239744 243257 245024 249109 251104 256711 263872 264992 278008 279188 284696 286976 293384 300664 302848 309101 314678 315952 316537 319072 332878 335296 340886 343616 358484 359632 361088 367108 370048 375193 378898 380432 387296 388864 389584 398164 406441 408044 409696 411008 419552 428792 439432 442028 442624 451763 461776 462631 464504 466336 468224 479488 486514 488579 490048 498218 502208 513422 527744 529984 556016 558376 569392 586768 601328 618202 629356 631904 633074 638144 665756 670592 681772 687232 696787 714077 716968 719264 722176 734216 740096 750386 754819 757796 760864 773549 774592 779168 796328 812882 816088 819392 822016 839104 857584 878864 884056 903526 923552 925262 929008 932672 973028 977158 980096 996436 1004416 1026844 1055488 1059968 1103197 1112032 1116752 1138784 1165073 1173536 1193101 1202656 1236404 1258712 1263808 1266148 1276288 1326143 1331512 1341184 1363544 1374464 1393574 1428154 1433936 1436591 1438528 1468432 1500772 1509638 1515592 1521728 1547098 1549184 1558336 1592656 1625764 1632176 1638784 1678208 1702799 1715168 1743763 1757728 1768112 1807052 1847104 1850524 1858016 1865344 1946056 1954316 1960192 1992872 2008832 2053688 2099633 2119936 2163707 2206394 2215759 2224064 2233504 2277568 2330146 2347072 2386202 2405312 2472808 2517424 2527616 2532296 2552576 2652286 2663024 2727088 2787148 2845087 2856308 2867872 2873182 2877056 2936864 3001544 3019276 3031184 3043456 3094196 3098368 3116672 3162341 3185312 3238417 3251528 3264352 3277568 3356416 3405598 3425717 3430336 3487526 3515456 3536224 3614104 3694208 3701048 3716032 3730688 3892112 3908632 3985744 4107376 4199266 4327414 4412788 4431518 4448128 4467008 4555136 4660292 4694144 4772404 4810624 4877509 4945616 5034848 5055232 5064592 5283733 5304572 5326048 5414843 5454176 5574296 5690174 5712616 5735744 5746364 5754112 5872919 5873728 6003088 6014203 6038552 6062368 6086912 6188392 6233344 6324682 6370624 6476834 6503056 6528704 6811196 6851434 6860672 6975052 7030912 7072448 7228208 7388416 7402096 7432064 7722379 7784224 7817264 7971488 8214752 8398532 8654828 8825576 8863036 8896256 8934016 9110272 9283001 9320584 9388288 9544808 9621248 9755018 9812647 9891232 10056137 10069696 10129184 10567466 10609144 10652096 10829686 10908352 11148592 11380348 11425232 11471488 11492728 11745838 11747456 12006176 12028406 12077104 12124736 12376784 12649364 12741248 12953668 13006112 13057408 13622392 13702868 13721344 13950104 14061824 14144896 14341561 14456416 14697431 14804192 14864128 15145949 15444758 15510313 15568448 15634528 15942976 16429504 16797064 17309656 17651152 17726072 17868032 18566002 18641168 18675683 19089616 19510036 19625294 19782464 20112274 20139392 20258368 21134932 21218288 21304192 21659372 21816704 22136387 22297184 22668919 22760696 22850464 22942976 22985456 23491676 23494912 23980019 24012352 24056812 24154208 24249472 24753568 25298728 25482496 25907336 26012224 26114816 27244784 27295229 27405736 27900208 28289792 28683122 28912832 29394862 29608384 30291898 30889516 31020626 31136896 31269056 31885952 32859008 33594128 34619312 35302304 35452144 36986131 37132004 37282336 37351366 38179232 39020072 39250588 39564928 40224548 40278784 40516736 41110433 42099421 42269864 42436576 42608384 43318744 43633408 44272774 44534321 44594368 45337838 45521392 45700928 45970912 46983352 47960038 48024704 48113624 48308416 48498944 49507136 50597456 51814672 52024448 54056653 54489568 54590458 54811472 55800416 57366244 57825664 58789724 59216768 60583796 61779032 62041252 62273792 62538112 63771904 65088623 65718016 67188256 68688529 69238624 70392959 70604608 70904288 73972262 74264008 74564672 74702732 76358464 78040144 78501176 79129856 80449096 81033472 82220866 84198842 84539728 84873152 86637488 88545548 89068642 89188736 90675676 91042784 91401856 91941824 93966704 95920076 96049408 96227248 96616832 99014272 100390927 101194912 102882017 103629344 104048896 108113306 108979136 109180916 109622944 111600832 114732488 115651328 117579448 118433536 121167592 123558064 124082504 125076224 130177246 130729781 134376512 137377058 138477248 140785918 141209216 141808576 147944524 148528016 149129344 149405464 152716928 156080288 157002352 160898192 164441732 167860133 168397684 169079456 169746304 173274976 177091096 178137284 178377472 181351352 182085568 182803712 183883648 186440293 187933408 191066603 191840152 192454496 193233664 198028544 200781854 202389824 205764034 207258688 216226612 217958272 218361832 219245888 223201664 229464976 235158896 242335184 247116128 248165008 260354492 261459562 268753024 274754116 276954496 281571836 282418432 283617152 287773031 294695947 295889048 297056032 298258688 298810928 305433856 311740247 312160576 314004704 321796384 328883464 335720266 336795368 338158912 339492608 346549952 354182192 354837977 356274568 362702704 364171136 367767296 372880586 375866816 382133206 383680304 384908992 401563708 404779648 411528068 414517376 432453224 435916544 436723664 438491776 446403328 455620361 458929952 470317792 480819703 484670368 494232256 496330016 520708984 522919124 537506048 549508232 553908992 563143672 567234304 575546062 578946173 589391894 591778096 594112064 597621856 623480494 624321152 628009408 643592768 657766928 671440532 673590736 676317824 693099904 702736489 708364384 709675954 712549136 725405408 728342272 745761172 751733632 764266412 767360608 769817984 803127416 809559296 823056136 829034752 846152099 864906448 873447328 876983552 911240722 915108467 917859904 940635584 961639406 969340736 988464512 992660032 1041417968 1045838248 1099016464 1126287344 1151092124 1157892346 1178783788 1183556192 1188224128 1195243712 1246960988 1248642304 1256018816 1287185536 1305082051 1315533856 1337466221 1342881064 1347181472 1352635648 1386199808 1405472978 1416728768 1419351908 1425098272 1450810816 1491522344 1503467264 1528532824 1534721216 1539635968 1606254832 1646112272 1692304198 1729812896 1746894656 1822481444 1830216934 1835719808 1881271168 1923278812 1938681472 1976929024 1985320064 2082835936 2091676496 2182181729 2198032928 2252574688 2302184248 2315784692 2357567576 2367112384 2376448256 2390487424 2483865839 2493921976 2512037632 2574371072 2610164102 2631067712 2674932442 2685762128 2694362944 2810945956 2833457536 2838703816 2850196544 2901621632 2983044688 3057065648 3069442432 3189342527 3212509664 3292224544 3384608396 3459625792 3493789312 3644962888 3660433868 3671439616 3762542336 3846557624 3877362944 3970640128 4052623211 4165671872 4183352992 4364363458 4396065856 4505149376 4604368496 4631569384 4715135152 4734224768 4780974848 4967731678 4987843952 5220328204 5262135424 5349864884 5371524256 5388725888 5621891912 5666915072 5677407632 5700393088 5803243264 5923064693 5966089376 6114131296 6138884864 6378685054 6425019328 6584449088 6769216792 6919251584 6987578624 7289925776 7320867736 7693115248 8105246422 8331343744 8366705984 8728726916 8792131712 9010298752 9135574357 9208736992 9263138768 9430270304 9468449536 9935463356 9975687904 10440656408 10524270848 10699729768 10743048512 10777451776 10999977287 11243783824 11354815264 11400786176 11846129386 11932178752 12228262592 12757370108 12850038656 13168898176 13538433584 13838503168 14579851552 14641735472 15386230496 16210492844 16662687488 16733411968 17387060873 17457453832 17584263424 18020597504 18271148714 18417473984 18526277536 18860540608 19870926712 19951375808 20881312816 21399459536 21486097024 21999954574 22487567648 22709630528 23692258772 23864357504 24456525184 25514740216 25700077312 26337796352 27076867168 28368362477 29159703104 29283470944 30772460992 32420985688 33466823936 34774121746 34914907664 36542297428 36834947968 37052555072 37721081216 39741853424 39902751616 41461452851 41762625632 42798919072 42972194048 43999909148 44975135296 45419261056 47384517544 47728715008 48913050368 51029480432 54153734336 56736724954 58319406208 58566941888 61544921984 64841971376 69548243492 69829815328 73084594856 73669895936 74105110144 75442162432 76999841009 79483706848 79805503232 82922905702 83525251264 85597838144 87999818296 89950270592 90838522112 94769035088 102058960864 108307468672 113473449908 116638812416 117133883776 123089843968 129683942752 139096486984 139659630656 146169189712 148210220288 153999682018 158967413696 165845811404 167050502528 171195676288 175999636592 179900541184 189538070176 204117921728 216614937344 226946899816 234267767552 259367885504 278192973968 279319261312 292338379424 307999364036 317934827392 331691622808 334101005056 342391352576 351999273184 379076140352 408235843456 453893799632 518735771008 538998887063 556385947936 558638522624 584676758848 615998728072 635869654784 663383245616 703998546368 758152280704 816471686912 907787599264 1037471542016 1077997774126 1112771895872 1169353517696 1231997456144 1326766491232 1407997092736 1516304561408 1815575198528 2155995548252 2225543791744 2338707035392 2463994912288 2653532982464 2815994185472 3631150397056 4311991096504 4451087583488 4927989824576 5307065964928 7262300794112 8623982193008 9855979649152 10614131929856 17247964386016 19711959298304 34495928772032 68991857544064 137983715088128
- Sum of all divisors σ(n): 383572670745600
- Sum of proper divisors (its aliquot sum) s(n): 245588955657472
- 137983715088128 is an abundant number, because the sum of its proper divisors (245588955657472) is greater than itself. Its abundance is 107605240569344
Bases of 137983715088128
- Binary: 111110101111110110101100101001010010111000000002
- Hexadecimal: 0x7D7ED6529700
- Base-36: 1CWSUDBV28
Squares and roots of 137983715088128
- 137983715088128 squared (1379837150881282) is 19039505629521682678806544384
- 137983715088128 cubed (1379837150881283) is 2627141720202729001191365611534569703473152
-
The
square root of 137983715088128 is 11746646.9721417951 -
The
cube root of 137983715088128 is 51674.4597211449
Scales and comparisons
How big is 137983715088128?- 137,983,715,088,128 seconds is equal to 4,387,455 years, 17 weeks, 10 hours, 42 minutes, 8 seconds.
-
To count from 1 to 137,983,715,088,128 would take you about ten million, nine hundred sixty-eight thousand, six hundred thirty-eight 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 137983715088128 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137983715088128
- 137983715088128 backwards is 821880517389731
- The number of decimal digits it has is: 15
- The sum of 137983715088128's digits is 71
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137983715088128 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 137983715088128 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/137983715088128/
Chicago style:
Numbermatics. 2024. "Number 137983715088128 - Facts about the integer". https://numbermatics.com/n/137983715088128/
The information we have on file for 137983715088128 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 137983715088128, math, Factors of 137983715088128, curriculum, school, college, exams, university, Prime factorization of 137983715088128, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, nine hundred eighty-three billion, seven hundred fifteen million, eighty-eight thousand, one hundred twenty-eight.