138742912707168
138,742,912,707,168 is an even composite number composed of six prime numbers multiplied together.
What does the number 138742912707168 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138742912707168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138742912707168:
25 × 3 × 73 × 112 × 17 × 1273
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 11 × 11 × 17 × 127 × 127 × 127)See below for interesting mathematical facts about the number 138742912707168 from the Numbermatics database.
Names of 138742912707168
- Cardinal: 138742912707168 can be written as One hundred thirty-eight trillion, seven hundred forty-two billion, nine hundred twelve million, seven hundred seven thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38742912707168 × 1014
Factors of 138742912707168
Divisors of 138742912707168
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 42 44 48 49 51 56 66 68 77 84 88 96 98 102 112 119 121 127 132 136 147 154 168 176 187 196 204 224 231 238 242 254 264 272 294 308 336 343 352 357 363 374 381 392 408 462 476 484 508 528 539 544 561 588 616 672 686 714 726 748 762 784 816 833 847 889 924 952 968 1016 1029 1056 1078 1122 1176 1232 1309 1372 1397 1428 1452 1496 1524 1568 1617 1632 1666 1694 1778 1848 1904 1936 2032 2057 2058 2156 2159 2244 2352 2464 2499 2541 2618 2667 2744 2794 2856 2904 2992 3048 3234 3332 3388 3556 3696 3773 3808 3872 3927 4064 4114 4116 4191 4312 4318 4488 4704 4998 5082 5236 5334 5488 5588 5712 5808 5831 5929 5984 6096 6171 6223 6468 6477 6664 6776 7112 7392 7546 7854 8228 8232 8382 8624 8636 8976 9163 9779 9996 10164 10472 10668 10976 11176 11319 11424 11616 11662 11858 12192 12342 12446 12936 12954 13328 13552 14224 14399 15092 15113 15367 15708 16129 16456 16464 16764 17248 17272 17493 17787 17952 18326 18669 19558 19992 20328 20944 21336 22352 22638 23324 23716 23749 24684 24892 25872 25908 26656 27104 27489 28448 28798 29337 30184 30226 30734 31416 32258 32912 32928 33528 34544 34986 35574 36652 37338 39116 39984 40656 41503 41888 42672 43197 43561 44704 45276 45339 46101 46648 47432 47498 48387 49368 49784 51744 51816 54978 57596 58674 60368 60452 61468 62832 64141 64516 65824 67056 68453 69088 69972 71148 71247 73304 74676 78232 79968 81312 83006 85344 86394 87122 90552 90678 92202 93296 94864 94996 96774 98736 99568 100793 103632 105791 107569 109956 112903 115192 117348 120736 120904 122936 124509 125664 128282 129032 130683 134112 136906 139944 142296 142494 146608 149352 156464 166012 166243 172788 174244 177419 181104 181356 184404 186592 189728 189992 192423 193548 197472 199136 201586 205359 207264 211582 215138 219912 225806 230384 234696 241808 245872 249018 256564 258064 261239 261366 273812 274193 279888 284592 284988 293216 298704 302379 312928 317373 322707 332024 332486 338709 345576 348488 354838 362208 362712 368808 379984 384846 387096 403172 410718 423164 430276 439824 451612 460768 469392 479171 483616 491744 498036 498729 513128 516128 522478 522732 532257 547624 548386 559776 569184 569976 597408 604758 634746 645414 664048 664972 677418 691152 696976 705551 709676 725424 737616 740537 752983 759968 769692 774192 783717 790321 806344 821436 822579 846328 860552 879648 903224 938784 958342 996072 997458 1026256 1044956 1045464 1064514 1095248 1096772 1139952 1163701 1209516 1241933 1269492 1290828 1328096 1329944 1354836 1382304 1393952 1411102 1419352 1437513 1450848 1475232 1481074 1505966 1539384 1548384 1567434 1580642 1612688 1642872 1645158 1692656 1721104 1806448 1828673 1916684 1919351 1951609 1992144 1994916 2048383 2052512 2089912 2090928 2116653 2129028 2190496 2193544 2221611 2258949 2279904 2327402 2370963 2419032 2483866 2538984 2581656 2659888 2709672 2822204 2838704 2875026 2962148 3011932 3016123 3078768 3134868 3161284 3225376 3285744 3290316 3385312 3442208 3491103 3612896 3657346 3725799 3833368 3838702 3903218 3984288 3989832 4096766 4179824 4181856 4233306 4258056 4387088 4443222 4517898 4654804 4741926 4838064 4967732 5077968 5163312 5270881 5319776 5419344 5486019 5532247 5644408 5677408 5750052 5758053 5854827 5924296 6023864 6032246 6145149 6157536 6269736 6322568 6571488 6580632 6982206 7314692 7451598 7666736 7677404 7806436 7979664 8145907 8193532 8359648 8466612 8516112 8693531 8774176 8886444 9035796 9048369 9309608 9483852 9676128 9935464 10155936 10326624 10541762 10838688 10972038 11064494 11288816 11500104 11516106 11709654 11848592 12047728 12064492 12290298 12539472 12645136 12800711 13161264 13435457 13661263 13964412 14338681 14629384 14903196 15333472 15354808 15612872 15812643 15959328 16291814 16387064 16596741 16933224 17032224 17387062 17772888 18071592 18096738 18619216 18967704 19870928 21083524 21112861 21944076 22128988 22532213 22577632 23000208 23032212 23419308 23697184 24095456 24128984 24437721 24580596 25078944 25290272 25601422 26080593 26322528 26870914 27322526 27928824 28677362 29258768 29806392 30709616 31225744 31625286 32583628 32774128 33177353 33193482 33866448 34774124 34822511 35545776 36143184 36193476 37238432 37935408 38402133 39741856 40306371 40983789 42167048 42225722 43016043 43888152 44257976 45064426 46000416 46064424 46838616 48257968 48875442 49161192 51202844 52161186 53741828 54645052 55857648 57354724 58517536 59612784 60854717 61419232 62451488 63250572 63338583 65167256 65548256 66354706 66386964 67596639 67732896 69548248 69645022 71091552 72286368 72386952 75870816 76804266 80612742 81967578 84334096 84451444 86032086 87776304 88515952 89604977 90128852 92128848 93677232 94048199 95628841 96515936 97750884 98322384 99532059 100370767 102405688 104322372 104467533 107483656 109290104 111715296 114709448 119225568 121709434 126501144 126677166 130334512 132709412 132773928 135193278 139096496 139290044 144773904 147790027 153608532 157725491 161225484 163935156 168668192 168902888 172064172 175552608 177031904 179209954 180257704 182564151 184257696 187354464 188096398 191257682 195501768 196644768 199064118 200741534 204811376 208644744 208935066 214967312 218580208 229418896 232241471 243418868 243757577 247854343 253002288 253354332 260669024 265418824 265547856 268814931 270386556 278192992 278580088 282144597 286886523 289547808 295580054 301112301 307217064 315450982 322450968 327870312 337805776 344128344 358419908 360515408 365128302 376192796 382515364 383047621 391003536 398128236 401483068 409622752 417289488 417870132 429934624 437160416 443370081 458837792 464482942 473176473 486837736 487515154 495708686 506004576 506708664 530837648 531095712 537629862 540773112 557160176 564289194 573773046 591160108 602224602 614434128 630901964 644901936 655740624 669401887 675611552 688256688 696724413 702595369 716839816 721030816 730256604 731272731 743563029 752385592 765030728 766095242 782007072 796256472 802966136 834578976 835740264 886740162 928965884 946352946 973675472 975030308 991417372 1013417328 1034530189 1061675296 1075259724 1081546224 1104078437 1114320352 1128578388 1147546092 1149142863 1182320216 1204449204 1228868256 1261803928 1289803872 1311481248 1338803774 1376513376 1393448826 1405190738 1433679632 1460513208 1462545462 1487126058 1504771184 1530061456 1532190484 1592512944 1605932272 1625690297 1671480528 1706303039 1734980401 1773480324 1857931768 1892705892 1947350944 1950060616 1982834744 2008205661 2026834656 2069060378 2107786107 2150519448 2163092448 2208156874 2257156776 2295092184 2298285726 2364640432 2408898408 2523607856 2677607548 2681333347 2786897652 2810381476 2867359264 2921026416 2925090924 2974252116 3009542368 3060122912 3064380968 3103590567 3185025888 3211864544 3251380594 3312235311 3342961056 3412606078 3469960802 3546960648 3715863536 3785411784 3900121232 3965669488 4016411322 4138120756 4213523831 4215572214 4301038896 4416313748 4514313552 4590184368 4596571452 4729280864 4817796816 4877070891 5047215712 5118909117 5204941203 5355215096 5362666694 5573795304 5620762952 5842052832 5850181848 5948504232 6128761936 6207181134 6502761188 6624470622 6825212156 6939921604 7093921296 7431727072 7570823568 7728549059 7800242464 7931338976 8032822644 8044000041 8276241512 8427047662 8431144428 8602077792 8832627496 9028627104 9180368736 9193142904 9635593632 9754141782 10237818234 10409882406 10710430192 10725333388 11147590608 11241525904 11379832079 11700363696 11897008464 11944121273 12144862807 12257523872 12414362268 12640571493 13005522376 13248941244 13650424312 13879843208 14187842592 15141647136 15457098118 16065645288 16088000082 16552483024 16854095324 16862288856 17665254992 18386285808 18769333429 19508283564 20475636468 20819764812 21420860384 21450666776 22295181216 22483051808 22759664158 23185647177 23400727392 23794016928 23888242546 24289725614 24828724536 25281142986 26011044752 26497882488 27300848624 27759686416 29494666817 30914196236 32131290576 32176000164 33104966048 33708190648 33724577712 34139496237 35330509984 35832363819 36434588421 36772571616 37538666858 39016567128 40951272936 41639529624 42901333552 45519328316 46371294354 47776485092 48579451228 49657449072 50562285972 52022089504 52995764976 54601697248 55519372832 56308000287 58989333634 61828392472 64262581152 64352000328 67416381296 67449155424 68278992474 71664727638 72869176842 75077333716 78033134256 81902545872 83279059248 85014039649 85802667104 88484000451 91038656632 92742588708 95552970184 97158902456 99314898144 101124571944 105991529952 112616000574 117978667268 123656784944 128704000656 131385334003 134832762592 136557984948 143329455276 145738353684 150154667432 156066268512 163805091744 166558118496 170028079298 176968000902 182077313264 185485177416 191105940368 194317804912 202249143888 206462667719 225232001148 235957334536 247313569888 255042118947 257408001312 262770668006 273115969896 286658910552 291476707368 300309334864 340056158596 353936001804 364154626528 370970354832 382211880736 388635609824 394156002009 404498287776 412925335438 450464002296 471914669072 510084237894 525541336012 546231939792 573317821104 582953414736 600618669728 619388003157 680112317192 707872003608 741940709664 788312004018 825850670876 900928004592 943829338144 1020168475788 1051082672024 1092463879584 1146635642208 1165906829472 1238776006314 1360224634384 1415744007216 1445238674033 1576624008036 1651701341752 1801856009184 2040336951576 2102165344048 2477552012628 2720449268768 2831488014432 2890477348066 3153248016072 3303402683504 4080673903152 4204330688096 4335716022099 4955104025256 5780954696132 6306496032144 6606805367008 8161347806304 8671432044198 9910208050512 11561909392264 12612992064288 17342864088396 19820416101024 23123818784528 34685728176792 46247637569056 69371456353584 138742912707168
- Sum of all divisors σ(n): 498229014528000
- Sum of proper divisors (its aliquot sum) s(n): 359486101820832
- 138742912707168 is an abundant number, because the sum of its proper divisors (359486101820832) is greater than itself. Its abundance is 220743189113664
Bases of 138742912707168
- Binary: 111111000101111100110100000011011101010011000002
- Hexadecimal: 0x7E2F9A06EA60
- Base-36: 1D6HM3ZN1C
Squares and roots of 138742912707168
- 138742912707168 squared (1387429127071682) is 19249595826468839686518580224
- 138742912707168 cubed (1387429127071683) is 2670744993400031676781071385819343627845632
-
The
square root of 138742912707168 is 11778918.1467216249 -
The
cube root of 138742912707168 is 51769.0587950055
Scales and comparisons
How big is 138742912707168?- 138,742,912,707,168 seconds is equal to 4,411,595 years, 24 weeks, 22 hours, 12 minutes, 48 seconds.
-
To count from 1 to 138,742,912,707,168 would take you about eleven million, twenty-eight thousand, nine hundred eighty-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 138742912707168 cubic inches would be around 4314.1 feet tall.
Recreational maths with 138742912707168
- 138742912707168 backwards is 861707219247831
- 138742912707168 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138742912707168's digits is 66
- More coming soon!
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The information we have on file for 138742912707168 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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