138375653096736
138,375,653,096,736 is an even composite number composed of six prime numbers multiplied together.
What does the number 138375653096736 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138375653096736 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138375653096736:
25 × 34 × 115 × 172 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 11 × 11 × 17 × 17 × 31 × 37)See below for interesting mathematical facts about the number 138375653096736 from the Numbermatics database.
Names of 138375653096736
- Cardinal: 138375653096736 can be written as One hundred thirty-eight trillion, three hundred seventy-five billion, six hundred fifty-three million, ninety-six thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.38375653096736 × 1014
Factors of 138375653096736
Divisors of 138375653096736
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 31 32 33 34 36 37 44 48 51 54 62 66 68 72 74 81 88 93 96 99 102 108 111 121 124 132 136 144 148 153 162 176 186 187 198 204 216 222 242 248 264 272 279 288 289 296 297 306 324 333 341 352 363 372 374 396 407 408 432 444 459 484 496 527 528 544 558 561 578 592 594 612 629 648 666 682 726 744 748 792 814 816 837 864 867 888 891 918 968 992 999 1023 1054 1056 1089 1116 1122 1147 1156 1184 1188 1221 1224 1258 1296 1331 1332 1364 1377 1452 1488 1496 1581 1584 1628 1632 1674 1683 1734 1776 1782 1836 1887 1936 1998 2046 2057 2108 2178 2232 2244 2294 2312 2376 2442 2448 2511 2516 2592 2601 2662 2664 2728 2754 2904 2976 2992 2997 3069 3162 3168 3179 3256 3267 3348 3366 3441 3468 3552 3564 3663 3672 3751 3774 3872 3993 3996 4092 4114 4216 4356 4464 4477 4488 4588 4624 4743 4752 4884 4896 5022 5032 5049 5202 5324 5328 5456 5508 5661 5797 5808 5984 5994 6138 6171 6324 6358 6512 6534 6696 6732 6882 6919 6936 7128 7326 7344 7502 7548 7803 7986 7992 8184 8228 8432 8712 8928 8954 8959 8976 9176 9207 9248 9486 9504 9537 9768 9801 10044 10064 10098 10323 10404 10648 10656 10693 10912 10989 11016 11253 11322 11594 11616 11979 11988 12276 12342 12617 12648 12716 13024 13068 13392 13431 13464 13764 13838 13872 14229 14256 14641 14652 14688 15004 15096 15147 15606 15972 15984 16368 16456 16864 16983 17391 17424 17908 17918 17952 18352 18414 18513 18972 19074 19499 19536 19602 20088 20128 20196 20646 20757 20808 21296 21386 21978 22032 22506 22627 22644 23188 23409 23958 23976 24552 24684 25234 25296 25432 26136 26784 26862 26877 26928 27528 27621 27676 27744 28458 28512 28611 29282 29304 30008 30192 30294 30969 31212 31944 31968 32079 32736 32912 32967 33759 33966 34782 34848 34969 35816 35836 35937 36704 36828 37026 37851 37944 38148 38998 39072 39204 40176 40293 40392 41261 41292 41514 41616 42592 42687 42772 43923 43956 44064 45012 45254 45288 46376 46818 47916 47952 49104 49247 49368 50468 50592 50864 50949 52173 52272 53724 53754 53856 55056 55242 55352 55539 56916 57222 58497 58564 58608 60016 60384 60588 61938 62271 62424 63767 63888 64158 65824 65934 67518 67881 67932 69564 69938 71632 71672 71874 73656 74052 75702 75888 76109 76296 77996 78408 80352 80586 80631 80784 82522 82584 83028 83232 85374 85544 85833 87846 87912 90024 90508 90576 92752 92907 93636 95832 95904 96237 98208 98494 98549 98736 100936 101277 101728 101898 104346 104544 104907 107448 107508 107811 110112 110484 110704 111078 113553 113832 114444 116994 117128 117216 117623 120032 120879 121176 123783 123876 124542 124848 127534 127776 128316 131769 131868 135036 135762 135864 138787 139128 139876 143264 143344 143748 147312 147741 148104 151404 151776 152218 152592 155992 156519 156816 161051 161172 161262 161568 165044 165168 166056 166617 170748 171088 171666 175491 175692 175824 180048 181016 181152 185504 185814 186813 187272 191301 191664 192474 196988 197098 197472 201872 202554 203643 203796 208692 209814 214489 214896 215016 215622 220968 221408 222156 227106 227664 228327 228888 233988 234256 235246 241758 241893 242352 247566 247752 248897 249084 249696 255068 256632 257499 263538 263736 270072 271524 271728 277574 278256 279752 286688 287496 288711 294624 295482 295647 296208 302808 303831 304436 305184 311984 313038 313632 314721 322102 322344 322524 330088 330336 331483 332112 333234 340659 341496 342176 343332 350982 351384 351648 352869 360096 362032 362637 371349 371628 373626 374544 382602 383328 384659 384948 393976 394196 395307 403744 405108 407286 407592 416361 417384 419628 428978 429792 430032 431244 441936 443223 444312 453871 454212 455328 456654 457776 467976 468512 469557 470492 483153 483516 483786 484704 495132 495504 497794 498168 510136 513264 514998 526473 527076 527472 540144 541717 543048 543456 555148 556512 559504 560439 573903 574992 577422 590964 591294 592416 605616 607662 608872 610929 623968 626076 629442 643467 644204 644688 645048 660176 662966 664224 666468 681318 682992 684981 686664 701437 701964 702768 705738 724064 725274 725679 742698 743256 746691 747252 749088 765204 769318 769896 787952 788392 790614 810216 814572 815184 832722 834768 837199 839256 857956 860064 862488 866133 883872 886446 886941 888624 907742 908424 913308 915552 935952 939114 940984 944163 966306 967032 967572 990264 991008 994449 995588 996336 1020272 1021977 1026528 1029996 1052946 1054152 1054944 1058607 1080288 1083434 1084039 1086096 1110296 1114047 1119008 1120878 1147806 1149984 1153977 1154844 1181928 1182588 1185921 1211232 1215324 1217744 1221858 1249083 1252152 1258884 1286934 1288408 1289376 1290096 1293853 1320352 1325932 1329669 1332936 1361613 1362636 1365984 1369962 1373328 1402874 1403928 1405536 1411476 1449459 1450548 1451358 1485396 1486512 1493382 1494504 1526657 1530408 1538636 1539792 1575904 1576784 1579419 1581228 1620432 1625151 1629144 1630368 1665444 1669536 1674398 1678512 1715912 1721709 1724976 1732266 1772892 1773882 1777248 1815484 1816848 1826616 1832787 1871904 1878228 1881968 1888326 1930401 1932612 1934064 1935144 1980528 1988898 1991176 1992672 2040544 2043954 2054943 2059992 2104311 2105892 2108304 2117214 2166868 2168078 2172192 2220592 2228094 2240073 2241756 2295612 2307954 2309688 2359379 2363856 2365176 2371842 2430648 2435488 2443716 2498166 2504304 2511597 2517768 2573868 2576816 2580192 2587706 2651864 2659338 2660823 2665872 2723226 2725272 2737867 2739924 2746656 2805748 2807856 2822952 2832489 2898918 2901096 2902716 2970792 2973024 2983347 2986764 2989008 3053314 3060816 3077272 3079584 3153568 3158838 3162456 3175821 3240864 3250302 3252117 3258288 3330888 3342141 3348796 3357024 3431824 3443418 3449952 3461931 3464532 3545784 3547764 3630968 3633696 3646313 3653232 3665574 3747249 3756456 3763936 3776652 3860802 3865224 3868128 3870288 3881559 3961056 3977796 3982352 3989007 4084839 4087908 4109886 4119984 4208622 4211784 4216608 4231249 4234428 4333736 4336156 4348377 4441184 4456188 4480146 4483512 4579971 4591224 4615908 4619376 4718758 4727712 4730352 4743684 4861296 4875453 4887432 4992581 4996332 5008608 5023194 5035536 5147736 5153632 5165127 5175412 5303728 5318676 5321646 5331744 5446452 5450544 5475734 5479848 5611496 5615712 5645904 5664978 5791203 5797836 5802192 5805432 5941584 5958887 5966694 5973528 5978016 6106628 6121632 6154544 6164829 6312933 6317676 6324912 6351642 6500604 6504234 6516576 6661776 6684282 6697592 6720219 6863648 6886836 6923862 6929064 7078137 7091568 7095528 7261936 7292626 7306464 7331148 7494498 7512912 7534791 7553304 7715807 7721604 7730448 7740576 7763118 7955592 7964704 7978014 7982469 8169678 8175816 8213601 8219772 8239968 8417244 8423568 8462498 8468856 8667472 8672312 8696754 8912376 8950041 8960292 8967024 9159942 9182448 9209189 9231816 9238752 9437516 9460704 9487368 9527463 9722592 9750906 9756351 9774864 9985162 9992664 10046388 10071072 10295472 10330254 10350824 10385793 10607456 10637352 10643292 10892904 10901088 10938939 10951468 10959696 11222992 11241747 11291808 11329956 11582406 11595672 11604384 11610864 11644677 11883168 11917774 11924429 11933388 11947056 12213256 12254517 12309088 12329658 12625866 12635352 12649824 12693747 12703284 13001208 13008468 13045131 13323552 13368564 13395184 13440438 13739913 13773672 13847724 13858128 14156274 14183136 14191056 14232383 14523872 14585252 14626359 14662296 14977743 14988996 15025824 15069582 15106608 15431614 15443208 15460896 15526236 15911184 15956028 15964938 16339356 16351632 16427202 16439544 16793227 16834488 16847136 16924996 16937712 17334944 17344624 17373609 17393508 17824752 17876661 17900082 17920584 17934048 18319884 18364896 18418378 18463632 18875032 18938799 18974736 19054926 19501812 19512702 19549728 19970324 19985328 20092776 20160657 20590944 20660508 20701648 20771586 21234411 21274704 21286584 21785808 21877878 21902936 21919392 22445984 22483494 22604373 22659912 23147421 23164812 23191344 23221728 23289354 23835548 23848858 23866776 23894112 24426512 24509034 24640803 24659316 25251732 25270704 25387494 25406568 25953169 26002416 26016936 26090262 26737128 26790368 26850123 26880876 27479826 27547344 27627567 27695448 27716256 28312548 28382112 28464766 29170504 29252718 29269053 29324592 29955486 29977992 30139164 30213216 30863228 30886416 31052472 31157379 31822368 31912056 31929876 32678712 32703264 32816817 32854404 32879088 33586454 33668976 33849992 33875424 34689248 34747218 34787016 34934031 35649504 35753322 35773287 35800164 35841168 36639768 36763551 36836756 36927264 37750064 37877598 37949472 38081241 38109852 39003624 39025404 39940648 39970656 40109443 40185552 40321314 41219739 41321016 41403296 41543172 42468822 42549408 42573168 42697149 43571616 43755756 43805872 43879077 44933229 44966988 45208746 45319824 46294842 46329624 46382688 46543739 46578708 47671096 47697716 47733552 48853024 49018068 49281606 49318632 50379681 50503464 50541408 50774988 50813136 51906338 52004832 52033872 52180524 53474256 53629983 53700246 53761752 54959652 55094688 55255134 55390896 56625096 56816397 56929532 58341008 58505436 58538106 58649184 59910972 59955984 60278328 61726456 61772832 62104944 62314758 63703233 63824112 63859752 65357424 65633634 65708808 65758176 67172908 67337952 67699984 67813119 69442263 69494436 69574032 69868062 71506644 71546574 71600328 71682336 73279536 73527102 73673512 73922409 75500128 75755196 76162482 76219704 77859507 78007248 78050808 79881296 80218886 80371104 80642628 82439478 82642032 82882701 83086344 84873877 84937644 85146336 85394298 87511512 87611744 87758154 87807159 89866458 89933976 90417492 90639648 92589684 92659248 93087478 93157416 95342192 95395432 95467104 98036136 98450451 98563212 98637264 100759362 101006928 101301079 101549976 101626272 103812676 104067744 104361048 104802093 106948512 107259966 107319861 107400492 107523504 109919304 110510268 110781792 113250192 113632794 113859064 114243723 116682016 117010872 117076212 119821944 119911968 120328329 120556656 123452912 123659217 124209888 124629516 127406466 127648224 127719504 128091447 130714848 131168719 131267268 131417616 134345816 134799687 135399968 135626238 138884526 138988872 139148064 139631217 139736124 143013288 143093148 143200656 146559072 147054204 147347024 147844818 151139043 151510392 152324964 152439408 155719014 156014496 156101616 156556213 159762592 160437772 160889949 161285256 164878956 165284064 165765402 166172688 169747754 169875288 170788596 175023024 175516308 175614318 179732916 179867952 180834984 184725497 185179368 185318496 186174956 186314832 190684384 190790864 191109699 196072272 196900902 197126424 197274528 201518724 202013856 202602158 203099952 207625352 208326789 208722096 209604186 214519932 214639722 214800984 215047008 219838608 221020536 221767227 226500384 227265588 227718128 228487446 233578521 234021744 234152424 239643888 240656658 241113312 246905824 247318434 248648103 249259032 254621631 254812932 255439008 256182894 262337438 262534536 262835232 268691632 269599374 271252476 277769052 277977744 279262434 279472248 285484859 286026576 286186296 286401312 294108408 294694048 295351353 295689636 302278086 303020784 303903237 304649928 304878816 311438028 312203232 313112426 320875544 321779898 321959583 322570512 329757912 331530804 332345376 339495508 339750576 341577192 342731169 350046048 351032616 351228636 359465832 359735904 360984987 361669968 369450994 370358736 372349912 372629664 381581728 382219398 384274341 392144544 393506157 393801804 394252848 403037448 404399061 405204316 406199904 415250704 416653578 417444192 418893651 419208372 429039864 429279444 429601968 439677216 441203873 442041072 443534454 453417129 454531176 455436256 456974892 467157042 468043488 468304848 469668639 479287776 481313316 482669847 494636868 497296206 498518064 509243262 509625864 512365788 524674876 525069072 537383264 539198748 542504952 554176491 555538104 555955488 558524868 558944496 570969718 572053152 572372592 588216816 590702706 591379272 604556172 606041568 607806474 609299856 622876056 624980367 626224852 641751088 643559796 643919166 645141024 659515824 663061608 678991016 679501152 683154384 685462338 700735563 702065232 702457272 718931664 721969974 723339936 738901988 740717472 744699824 745944309 763864893 764438796 768548682 787012314 787603608 788505696 806074896 808798122 810408632 830501408 833307156 837787302 838416744 856454577 858079728 858558888 859203936 882407746 884082144 887068908 906834258 909062352 911709711 913949784 934314084 936609696 939337278 962626632 965339694 965878749 989273736 994592412 997036128 1018486524 1019251728 1024731576 1049349752 1050138144 1078397496 1082954961 1085009904 1108352982 1111076208 1117049736 1117888992 1141939436 1144745184 1152823023 1176433632 1180518471 1181405412 1182758544 1209112344 1215612948 1218599712 1245752112 1249960734 1252449704 1256680953 1283502176 1287119592 1287838332 1319031648 1323611619 1326123216 1357982032 1360251387 1366308768 1370924676 1401471126 1404130464 1404914544 1409005917 1437863328 1442855909 1443939948 1477803976 1489399648 1491888618 1527729786 1528877592 1537097364 1574024628 1575207216 1612149792 1617596244 1620817264 1662529473 1666614312 1675574604 1676833488 1712909154 1716159456 1717117776 1722118343 1764815492 1774137816 1813668516 1818124704 1823419422 1827899568 1868628168 1878674556 1925253264 1930679388 1931757498 1978547472 1989184824 2036973048 2038503456 2049463152 2098699504 2102206689 2156794992 2165909922 2170019808 2216705964 2222152416 2234099472 2283878872 2291594679 2305646046 2361036942 2362810824 2365517088 2418224688 2431225896 2491504224 2499921468 2504899408 2513361906 2569363731 2574239184 2575676664 2647223238 2652246432 2715964064 2720502774 2735129133 2741849352 2802942252 2809829088 2818011834 2885711818 2887879896 2955607952 2983777236 3055459572 3057755184 3074194728 3140333449 3148049256 3150414432 3235192488 3241634528 3248864883 3325058946 3333228624 3351149208 3353666976 3425818308 3434235552 3444236686 3529630984 3541555413 3548275632 3627337032 3646838844 3655799136 3737256336 3757349112 3770042859 3850506528 3861358776 3863514996 3957094944 3970834857 3978369648 4073946096 4098926304 4197399008 4204413378 4227017751 4313589984 4328567727 4331819844 4433411928 4468198944 4567757744 4583189358 4611292092 4722073884 4725621648 4836449376 4853242603 4862451792 4987588419 4999842936 5009798816 5026723812 5138727462 5148478368 5151353328 5166355029 5294446476 5441005548 5470258266 5483698704 5605884504 5636023668 5771423636 5775759792 5911215904 5967554472 6110919144 6115510368 6148389456 6280666898 6296098512 6470384976 6497729766 6650117892 6666457248 6702298416 6851636616 6874784037 6888473372 7059261968 7083110826 7096551264 7254674064 7293677688 7474512672 7514698224 7540085718 7708091193 7722717552 7727029992 7941669714 7956739296 8147892192 8205387399 8408826756 8454035502 8657135454 8663639688 8866823856 9135515488 9166378716 9222584184 9421000347 9444147768 9451243296 9706485206 9724903584 9975176838 9999685872 10053447624 10277454924 10302706656 10332710058 10588892952 10624666239 10882011096 10940516532 10967397408 11211769008 11272047336 11542847272 11551519584 11912504571 11935108944 12221838288 12296778912 12561333796 12592197024 12681053253 12940769952 12985703181 12995459532 13300235784 13404596832 13703273232 13749568074 13776946744 14118523936 14166221652 14509348128 14559727809 14587355376 14962765257 15029396448 15080171436 15416182386 15445435104 15454059984 15499065087 15883339428 16410774798 16817653512 16908071004 17314270908 17327279376 17733647712 18332757432 18445168368 18842000694 18888295536 19412970412 19950353676 19999371744 20106895248 20554909848 20665420116 21177785904 21249332478 21764022192 21881033064 22423538016 22544094672 23085694544 23124273579 23825009142 23870217888 24443676576 25122667592 25362106506 25971406362 25990919064 26600471568 27406546464 27499136148 27553893488 28263001041 28332443304 29119455618 29174710752 29925530514 30160342872 30832364772 30908119968 30998130174 31766678856 32821549596 33635307024 33816142008 34628541816 34654558752 35737513713 36665514864 36890336736 37684001388 37776591072 38825940824 38957109543 39900707352 40213790496 41109819696 41330840232 42355571808 42498664956 43528044384 43679183427 43762066128 45088189344 46171389088 46248547158 46497195261 47650018284 50245335184 50724213012 51942812724 51981838128 53200943136 53385668633 54998272296 55107786976 56526002082 56664886608 58238911236 59851061028 60320685744 61664729544 61996260348 63533357712 65643099192 67270614048 67632284016 69257083632 71475027426 73331029728 75368002776 77651881648 77914219086 79801414704 82219639392 82661680464 84789003123 84997329912 87358366854 87524132256 92497094316 92994390522 95300036568 100490670368 101448426024 103885625448 103963676256 106771337266 109996544592 113052004164 113329773216 116477822472 116871328629 119702122056 120641371488 123329459088 123992520696 127066715424 131037550281 131286198384 135264568032 138514167264 139491585783 142950054852 150736005552 155303763296 155828438172 159602829408 160157005899 165323360928 169578006246 169994659824 174716733708 184994188632 185988781044 190600073136 202896852048 207771250896 213542674532 219993089184 226104008328 232955644944 233742657258 239404244112 246658918176 247985041392 254367009369 262075100562 262572396768 278983171566 285900109704 301472011104 311656876344 320314011798 339156012492 339989319648 349433467416 369988377264 371977562088 381200146272 393112650843 405793704096 415542501792 427085349064 452208016656 465911289888 467485314516 478808488224 480471017697 495970082784 508734018738 524150201124 557966343132 571800219408 623313752688 640628023596 678312024984 698866934832 739976754528 743955124176 786225301686 854170698128 904416033312 934970629032 960942035394 1017468037476 1048300402248 1115932686264 1143600438816 1246627505376 1281256047192 1356624049968 1397733869664 1441413053091 1487910248352 1572450603372 1708341396256 1869941258064 1921884070788 2034936074952 2096600804496 2231865372528 2562512094384 2713248099936 2882826106182 3144901206744 3739882516128 3843768141576 4069872149904 4193201608992 4324239159273 4463730745056 5125024188768 5765652212364 6289802413488 7687536283152 8139744299808 8648478318546 11531304424728 12579604826976 15375072566304 17296956637092 23062608849456 34593913274184 46125217698912 69187826548368 138375653096736
- Sum of all divisors σ(n): 504142993702656
- Sum of proper divisors (its aliquot sum) s(n): 365767340605920
- 138375653096736 is an abundant number, because the sum of its proper divisors (365767340605920) is greater than itself. Its abundance is 227391687509184
Bases of 138375653096736
- Binary: 111110111011010000101111010010111111101001000002
- Hexadecimal: 0x7DDA17A5FD20
- Base-36: 1D1SWB3M00
Squares and roots of 138375653096736
- 138375653096736 squared (1383756530967362) is 19147821369948223346573853696
- 138375653096736 cubed (1383756530967363) is 2649592287446223629815313651564631799136256
-
The
square root of 138375653096736 is 11763318.1159371867 -
The
cube root of 138375653096736 is 51723.3399793951
Scales and comparisons
How big is 138375653096736?- 138,375,653,096,736 seconds is equal to 4,399,917 years, 38 weeks, 4 days, 23 hours, 45 minutes, 36 seconds.
-
To count from 1 to 138,375,653,096,736 would take you about ten million, nine hundred ninety-nine thousand, seven 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 138375653096736 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138375653096736
- 138375653096736 backwards is 637690356573831
- 138375653096736 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138375653096736's digits is 72
- 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 138375653096736 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 138375653096736 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138375653096736/
Chicago style:
Numbermatics. 2024. "Number 138375653096736 - Facts about the integer". https://numbermatics.com/n/138375653096736/
The information we have on file for 138375653096736 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 138375653096736, math, Factors of 138375653096736, curriculum, school, college, exams, university, Prime factorization of 138375653096736, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred seventy-five billion, six hundred fifty-three million, ninety-six thousand, seven hundred thirty-six.