138000971997504
138,000,971,997,504 is an even composite number composed of six prime numbers multiplied together.
138000971997504 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138000971997504:
26 × 32 × 73 × 11 × 31 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 11 × 31 × 127 × 127 × 127)See below for interesting mathematical facts about the number 138000971997504 from the Numbermatics database.
Names of 138000971997504
- Cardinal: 138000971997504 can be written as One hundred thirty-eight trillion, nine hundred seventy-one million, nine hundred ninety-seven thousand, five hundred four.
Scientific notation
- Scientific notation: 1.38000971997504 × 1014
Factors of 138000971997504
Divisors of 138000971997504
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 31 32 33 36 42 44 48 49 56 62 63 64 66 72 77 84 88 93 96 98 99 112 124 126 127 132 144 147 154 168 176 186 192 196 198 217 224 231 248 252 254 264 279 288 294 308 336 341 343 352 372 381 392 396 434 441 448 462 496 504 508 528 539 558 576 588 616 651 672 682 686 693 704 744 762 784 792 868 882 889 924 992 1008 1016 1023 1029 1056 1078 1116 1143 1176 1232 1302 1344 1364 1372 1386 1397 1488 1519 1524 1568 1584 1617 1736 1764 1778 1848 1953 1984 2016 2032 2046 2058 2112 2156 2232 2286 2352 2387 2464 2604 2667 2728 2744 2772 2794 2976 3038 3048 3069 3087 3136 3168 3234 3472 3528 3556 3696 3773 3906 3937 4032 4064 4092 4116 4191 4312 4464 4557 4572 4704 4774 4851 4928 5208 5334 5456 5488 5544 5588 5952 6076 6096 6138 6174 6223 6336 6468 6944 7056 7112 7161 7392 7546 7812 7874 8001 8128 8184 8232 8382 8624 8928 9114 9144 9408 9548 9702 9779 10416 10633 10668 10912 10976 11088 11176 11319 11811 12152 12192 12276 12348 12446 12573 12936 13671 13888 14112 14224 14322 14784 15092 15624 15748 16002 16129 16368 16464 16709 16764 17248 17856 18228 18288 18669 19096 19404 19558 20832 21266 21336 21483 21824 21952 22176 22352 22638 23622 24304 24384 24552 24696 24892 25146 25872 27342 27559 28224 28448 28644 29337 30184 31248 31496 31899 32004 32258 32736 32928 33418 33528 33957 34496 35433 36456 36576 37338 38192 38808 39116 41664 42532 42672 42966 43307 43561 44352 44704 45276 47244 48387 48608 49104 49392 49784 50127 50292 51744 54684 55118 56007 56896 57288 58674 60368 62496 62992 63798 64008 64516 65472 65856 66836 67056 67914 68453 70866 72912 73152 74676 76384 77616 78232 82677 85064 85344 85932 86614 87122 88011 89408 90552 94488 95697 96774 97216 98208 98784 99568 100254 100584 103488 109368 110236 112014 112903 114576 116963 117348 120736 124992 125984 127596 128016 129032 129921 130683 133672 134112 135828 136906 141732 145161 145824 149352 150381 152768 155232 156464 165354 170128 170688 171864 173228 174244 176022 177419 181104 188976 191394 192913 193548 196416 197568 199136 200508 201168 205359 218736 220472 224028 225806 229152 233926 234696 241472 248031 251968 255192 256032 258064 259842 261366 267344 268224 271656 273812 283464 290322 291648 298704 300762 303149 310464 312928 330708 338709 340256 343728 346456 348488 350889 352044 354838 362208 377952 382788 385826 387096 389763 392049 398272 401016 402336 410718 437472 440944 448056 451612 458304 467852 469392 479171 496062 499999 510384 512064 516128 519684 522732 532257 534688 543312 547624 566928 578739 580644 597408 601524 606298 616077 625856 661416 677418 680512 687456 692912 696976 701778 704088 709676 724416 755904 765576 771652 774192 779526 784098 790321 802032 804672 821436 874944 881888 896112 903224 909447 935704 938784 958342 992124 999998 1016127 1020768 1032256 1039368 1045464 1052667 1064514 1069376 1086624 1095248 1133856 1157478 1161288 1194816 1203048 1212596 1232154 1241933 1322832 1350391 1354836 1374912 1385824 1393952 1403556 1408176 1419352 1437513 1499997 1531152 1543304 1548384 1559052 1568196 1580642 1596771 1604064 1642872 1736217 1763776 1792224 1806448 1818894 1871408 1877568 1916684 1984248 1999996 2032254 2041536 2048383 2078736 2090928 2105334 2122043 2129028 2173248 2190496 2267712 2314956 2322576 2370963 2406096 2425192 2464308 2483866 2645664 2700782 2709672 2728341 2771648 2787904 2807112 2816352 2838704 2875026 2999994 3062304 3086608 3096768 3118104 3136392 3161284 3193542 3208128 3285744 3472434 3499993 3584448 3612896 3637788 3725799 3742816 3833368 3968496 3999992 4051173 4064508 4096766 4157472 4181856 4210668 4244086 4258056 4312539 4380992 4499991 4629912 4645152 4741926 4812192 4850384 4928616 4967732 5291328 5401564 5419344 5456682 5499989 5532247 5614224 5632704 5677408 5750052 5999988 6124608 6145149 6173216 6236208 6272784 6322568 6366129 6387084 6571488 6944868 6999986 7112889 7225792 7275576 7451598 7485632 7666736 7936992 7999984 8102346 8129016 8193532 8314944 8363712 8421336 8488172 8516112 8625078 8693531 8999982 9259824 9290304 9483852 9624384 9700768 9857232 9935464 10499979 10803128 10838688 10913364 10999978 11064494 11177397 11228448 11354816 11500104 11999976 12153519 12290298 12346432 12472416 12545568 12645136 12732258 12774168 13142976 13889736 13999972 14225778 14338681 14551152 14854301 14903196 15333472 15873984 15999968 16204692 16258032 16387064 16499967 16596741 16842672 16976344 17032224 17250156 17387062 17999964 18435447 18519648 18967704 19098387 19401536 19714464 19870928 20999958 21606256 21677376 21826728 21999956 22128988 22354794 22456896 22532213 23000208 23999952 24307038 24499951 24580596 24944832 25091136 25290272 25464516 25548336 26080593 27779472 27999944 28451556 28677362 29102304 29708602 29806392 30666944 31499937 31999936 32409384 32516064 32774128 32999934 33193482 33685344 33952688 34064448 34500312 34774124 35999928 36870894 37039296 37935408 38196774 38499923 39428928 39741856 41999916 43016043 43212512 43653456 43999912 44257976 44562903 44709588 45064426 46000416 47999904 48614076 48999902 49161192 49499901 49790223 50580544 50929032 51096672 52161186 55558944 55999888 56903112 57354724 58204608 59417204 59612784 60854717 62999874 63499873 64818768 65032128 65548256 65999868 66386964 67370688 67596639 67905376 69000624 69548248 71999856 73499853 73741788 75870816 76393548 76999846 78241779 79483712 83999832 86032086 86425024 87306912 87999824 88515952 89125806 89419176 90128852 92000832 95999808 97228152 97999804 98322384 98999802 99580446 100370767 101858064 102193344 104322372 111117888 111999776 113806224 114709448 115499769 118834408 119225568 121709434 125999748 126999746 129048129 129637536 131096512 131999736 132773928 133688709 135193278 135810752 138001248 139096496 143999712 146999706 147483576 151741632 152787096 153999692 156483558 157725491 167999664 171499657 172064172 174613824 175999648 177031904 178251612 178838352 180257704 182564151 190499619 194456304 195999608 196644768 197999604 199160892 200741534 202789917 203716128 208644744 220499559 223999552 227612448 229418896 230999538 237668816 238451136 243418868 251999496 253999492 258096258 259275072 263999472 265547856 267377418 269499461 270386556 276002496 278192992 287999424 293999412 294967152 301112301 305574192 307999384 312967116 315450982 335999328 342999314 344128344 346499307 351999296 354063808 356503224 357676704 360515408 365128302 380999238 388912608 391999216 393289536 395999208 398321784 401483068 405579834 407432256 417289488 440999118 444499111 455224896 458837792 461999076 473176473 475337632 486837736 503998992 507998984 514498971 516192516 527998944 531095712 534754836 538998922 540773112 547692453 556385984 571498857 587998824 589934304 602224602 611148384 615998768 625934232 630901964 671998656 685998628 688256688 692998614 698498603 702595369 713006448 715353408 721030816 730256604 761998476 777825216 783998432 791998416 796643568 802966136 808498383 811159668 834578976 881998236 888998222 903336903 917675584 923998152 946352946 950675264 973675472 1007997984 1015997968 1028997942 1032385032 1055997888 1062191424 1069509672 1077997844 1081546224 1095384906 1104078437 1142997714 1175997648 1179868608 1204449204 1222296768 1231997536 1251868464 1261803928 1333497333 1371997256 1376513376 1385997228 1396997206 1405190738 1419529419 1426012896 1442061632 1460513208 1523996952 1543496913 1567996864 1583996832 1593287136 1605932272 1616996766 1622319336 1669157952 1763996472 1777996444 1806673806 1847996304 1886496227 1892705892 1947350944 2015995968 2031995936 2057995884 2064770064 2095495809 2107786107 2139019344 2155995688 2163092448 2190769812 2208156874 2285995428 2351995296 2408898408 2425495149 2463995072 2503736928 2523607856 2666994666 2743994512 2753026752 2771994456 2793994412 2810381476 2839058838 2852025792 2921026416 3047993904 3086993826 3111493777 3167993664 3186574272 3211864544 3233993532 3244638672 3312235311 3527992944 3555992888 3613347612 3695992608 3772992454 3785411784 3894701888 4000491999 4063991872 4115991768 4129540128 4190991618 4215572214 4278038688 4311991376 4326184896 4381539624 4416313748 4571990856 4703990592 4817796816 4850990298 4889490221 5007473856 5047215712 5333989332 5487989024 5543988912 5587988824 5620762952 5659488681 5678117676 5842052832 6095987808 6173987652 6222987554 6286487427 6323358321 6423729088 6467987064 6489277344 6624470622 7055985888 7111985776 7226695224 7391985216 7545984908 7570823568 7728549059 8000983998 8231983536 8259080256 8381983236 8431144428 8556077376 8623982752 8763079248 8832627496 9143981712 9334481331 9635593632 9701980596 9778980442 9936705933 10094431424 10667978664 10975978048 11087977824 11175977648 11241525904 11318977362 11356235352 11684105664 12191975616 12347975304 12445975108 12572974854 12646716642 12935974128 12978554688 13248941244 14111971776 14223971552 14453390448 14668470663 15091969816 15141647136 15457098118 16001967996 16463967072 16763966472 16862288856 16978466043 17247965504 17526158496 17665254992 18287963424 18668962662 19271187264 19403961192 19557960884 19873411866 21335957328 21780456439 22175955648 22351955296 22483051808 22637954724 22712470704 23185647177 24695950608 24891950216 25145949708 25293433284 25871948256 26497882488 28003443993 28447943104 28906780896 29336941326 30183939632 30283294272 30914196236 32003935992 32927934144 33527932944 33724577712 33956932086 34226431547 35052316992 35330509984 36575926848 37337925324 38807922384 39115921768 39746823732 42671914656 43560912878 44005411989 44703910592 44966103616 45275909448 45424941408 46371294354 49391901216 49783900432 50291899416 50586866568 51743896512 52995764976 56006887986 57813561792 58673882652 60367879264 61828392472 64007871984 65341369317 67055865888 67449155424 67913864172 68452863094 69556941531 70661019968 74675850648 77615844768 78231843536 79493647464 85343829312 87121825756 88010823978 90551818896 90849882816 92742588708 98783802432 99567800864 100583798832 101173733136 102679294641 105991529952 112013775972 117347765304 120735758528 123656784944 128015743968 130682738634 134111731776 134898310848 135827728344 136905726188 139113883062 149351701296 155231689536 156463687072 158987294928 174243651512 176021647956 181103637792 185485177416 196024107951 199135601728 201167597664 202347466272 205358589282 211983059904 224027551944 234695530608 239585020829 247313569888 256031487936 261365477268 271655456688 273811452376 278227766124 298703402592 308037883923 312927374144 317974589856 348487303024 352043295912 362207275584 370970354832 392048215902 402335195328 404694932544 410717178564 448055103888 469391061216 479170041658 494627139776 522730954536 543310913376 547622904752 556455532248 597406805184 616075767846 635949179712 696974606048 704086591824 718755062487 741940709664 784096431804 821434357128 896110207776 938782122432 958340083316 1045461909072 1086621826752 1095245809504 1112911064496 1232151535692 1393949212096 1408173183648 1437510124974 1483881419328 1568192863608 1642868714256 1792220415552 1916680166632 2090923818144 2156265187461 2190491619008 2225822128992 2464303071384 2816346367296 2875020249948 3136385727216 3285737428512 3833360333264 4181847636288 4312530374922 4451644257984 4928606142768 5750040499896 6272771454432 6571474857024 7666720666528 8625060749844 9857212285536 11500080999792 12545542908864 15333441333056 17250121499688 19714424571072 23000161999584 34500242999376 46000323999168 69000485998752 138000971997504
- Sum of all divisors σ(n): 523579490304000
- Sum of proper divisors (its aliquot sum) s(n): 385578518306496
- 138000971997504 is an abundant number, because the sum of its proper divisors (385578518306496) is greater than itself. Its abundance is 247577546308992
Bases of 138000971997504
- Binary: 111110110000010110110101110101000100001010000002
- Hexadecimal: 0x7D82DAEA2140
- Base-36: 1CX0RRNBK0
Squares and roots of 138000971997504
- 138000971997504 squared (1380009719975042) is 19044268272255883147782230016
- 138000971997504 cubed (1380009719975043) is 2628127532552538013504816702198711105880064
-
The
square root of 138000971997504 is 11747381.4953590401 -
The
cube root of 138000971997504 is 51676.6138504571
Scales and comparisons
How big is 138000971997504?- 138,000,971,997,504 seconds is equal to 4,388,004 years, 2 weeks, 2 days, 4 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,000,971,997,504 would take you about ten million, nine hundred seventy thousand and ten 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 138000971997504 cubic inches would be around 4306.4 feet tall.
Recreational maths with 138000971997504
- 138000971997504 backwards is 405799179000831
- 138000971997504 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138000971997504's digits is 63
- More coming soon!
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"Number 138000971997504 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138000971997504 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138000971997504/
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The information we have on file for 138000971997504 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 138000971997504, math, Factors of 138000971997504, curriculum, school, college, exams, university, Prime factorization of 138000971997504, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred seventy-one million, nine hundred ninety-seven thousand, five hundred four.