138840814355938695
138,840,814,355,938,695 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138840814355938695 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1764 divisors.
138840814355938695 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty-four divisors.
Prime factorization of 138840814355938695:
36 × 5 × 72 × 115 × 136
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 13)See below for interesting mathematical facts about the number 138840814355938695 from the Numbermatics database.
Names of 138840814355938695
- Cardinal: 138840814355938695 can be written as One hundred thirty-eight quadrillion, eight hundred forty trillion, eight hundred fourteen billion, three hundred fifty-five million, nine hundred thirty-eight thousand, six hundred ninety-five.
Scientific notation
- Scientific notation: 1.38840814355938695 × 1017
Factors of 138840814355938695
Divisors of 138840814355938695
- Number of divisors d(n): 1764
-
Complete list of divisors:
1 3 5 7 9 11 13 15 21 27 33 35 39 45 49 55 63 65 77 81 91 99 105 117 121 135 143 147 165 169 189 195 231 243 245 273 297 315 351 363 385 405 429 441 455 495 507 539 567 585 605 637 693 715 729 735 819 845 847 891 945 1001 1053 1089 1155 1183 1215 1287 1323 1331 1365 1485 1521 1573 1617 1701 1755 1815 1859 1911 2079 2145 2197 2205 2457 2535 2541 2673 2695 2835 3003 3159 3185 3267 3465 3549 3645 3861 3969 3993 4095 4235 4455 4563 4719 4851 5005 5103 5265 5445 5577 5733 5915 5929 6237 6435 6591 6615 6655 7007 7371 7605 7623 7865 8019 8085 8281 8505 9009 9295 9317 9477 9555 9801 10395 10647 10985 11011 11583 11907 11979 12285 12705 13013 13365 13689 14157 14553 14641 15015 15379 15795 16335 16731 17199 17303 17745 17787 18711 19305 19773 19845 19965 20449 21021 22113 22815 22869 23595 24167 24255 24843 25515 27027 27885 27951 28561 28665 29403 29645 31185 31941 32955 33033 34749 35035 35721 35937 36855 38115 39039 40095 41067 41405 42471 43659 43923 45045 46137 46585 47385 49005 50193 51597 51909 53235 53361 55055 56133 57915 59319 59535 59895 61347 63063 65065 65219 66339 68445 68607 70785 72501 72765 73205 74529 76895 77077 81081 83655 83853 85683 85995 86515 88209 88935 91091 93555 95823 98865 99099 102245 102487 104247 105105 107653 107811 110565 114345 117117 120835 121121 123201 124215 127413 130977 131769 135135 138411 139755 142805 143143 147015 150579 154791 155727 159705 160083 161051 165165 169169 173745 177957 178605 179685 184041 189189 190333 195195 195657 199927 205335 205821 212355 217503 218295 219615 223587 224939 230685 231231 243243 250965 251559 257049 257985 259545 265837 266805 273273 280665 287469 296595 297297 306735 307461 314171 315315 322959 323433 326095 331695 343035 351351 362505 363363 371293 372645 382239 385385 392931 395307 405405 415233 419265 428415 429429 441045 451737 455455 464373 467181 479115 480249 483153 495495 507507 512435 521235 533871 538265 539055 552123 567567 570999 585585 586971 599781 605605 616005 617463 637065 652509 654885 658845 670761 674817 692055 693693 715715 717409 729729 752895 754677 771147 773955 778635 797511 800415 805255 819819 845845 847847 862407 889785 891891 920205 922383 942513 945945 951665 968877 970299 978285 999635 1002001 1029105 1054053 1087515 1090089 1113879 1117935 1124695 1127357 1146717 1156155 1184183 1185921 1216215 1245699 1257795 1285245 1288287 1329185 1332331 1355211 1366365 1399489 1401543 1437345 1440747 1449459 1486485 1522521 1537305 1570855 1574573 1601613 1614795 1617165 1656369 1702701 1712997 1756755 1760913 1799343 1816815 1856465 1860859 1911195 1957527 1964655 1976535 2012283 2024451 2076165 2081079 2093663 2147145 2152227 2199197 2258685 2264031 2313441 2321865 2335905 2392533 2401245 2415765 2459457 2474329 2537535 2543541 2599051 2669355 2675673 2760615 2767149 2827539 2837835 2854995 2906631 2924207 2934855 2998905 3006003 3087315 3162159 3262545 3270267 3341637 3353805 3374085 3382071 3455881 3468465 3552549 3557763 3587045 3648645 3737097 3773385 3855735 3864861 3987555 3996993 4084223 4099095 4198467 4204629 4239235 4312035 4322241 4348377 4459455 4567563 4611915 4712565 4723719 4826809 4844385 4851495 4969107 5010005 5108103 5138991 5270265 5282739 5398029 5450445 5569395 5582577 5636785 5733585 5872581 5920915 5929605 6036849 6073353 6228495 6243237 6280989 6441435 6456681 6597591 6661655 6776055 6792093 6940323 6997445 7007715 7177599 7203735 7247295 7378371 7422987 7612605 7630623 7797153 7872865 7891499 8008065 8027019 8281845 8301447 8482617 8513505 8564985 8719893 8772621 8804565 8996715 9018009 9304295 9326317 9486477 9787635 9810801 10024911 10061415 10122255 10146213 10367643 10405395 10468315 10657647 10673289 10761135 10995985 11022011 11211291 11320155 11567205 11594583 11962665 11990979 12252669 12297285 12371645 12595401 12613887 12717705 12995255 13026013 13045131 13378365 13702689 13835745 14137695 14171157 14480427 14533155 14621035 14655641 14907321 15030015 15394379 15416973 15810795 15848217 16194087 16351335 16708185 16747731 16910355 17279405 17320303 17617743 17762745 17788815 18193357 18220059 18685485 18729711 18842967 19324305 19370043 19792773 19984965 20421115 20469449 20820969 20992335 21023145 21532797 21611205 21741885 22135113 22268961 22837815 22891869 23391459 23618595 23674497 24134045 24191167 24845535 24904341 25447851 25540515 25694955 26159679 26317863 26413695 26990145 27054027 27217619 27912885 27978951 28589561 29362905 29432403 30074733 30184245 30366765 30438639 31102929 31216185 31404945 31972941 32166277 32283405 32987955 33066033 33787663 33960465 34701615 34783749 35887995 35972937 36758007 36891855 37114935 37786203 38014691 38153115 38985765 39078039 39135393 39457495 40135095 41108067 41507235 42413085 42513471 43441281 43599465 43863105 43966923 44926453 45090045 46183137 46250919 46631585 47432385 47544651 48582261 49054005 50124555 50243193 50731065 51838215 51960909 53094899 53288235 53366445 54580071 54660177 55110055 56056455 56189133 56528901 57972915 58110129 59378319 59954895 61263345 61408347 62977005 63069435 64598391 65130065 65225655 66405339 66806883 68513445 68675607 70174377 70855785 71023491 72402135 72573501 73278205 74536605 74713023 76343553 76971895 77084865 78479037 78953589 79241085 80970435 81162081 81652857 83738655 83936853 85768683 86601515 88088715 88297209 90224199 90966785 91100295 91315917 93308787 93648555 94214835 95918823 96498831 96850215 98963865 99198099 101362989 102347245 102589487 104104845 104351247 107663985 107918811 110274021 110675565 111344805 113358609 114044073 114459345 116957295 117234117 117406179 118372485 120955835 121242121 123324201 124521705 127239255 127540413 130323843 130798395 131589315 131900769 134779359 135270135 136088095 138549411 138752757 139894755 142947805 143286143 145746783 147162015 150373665 150729579 152193195 155514645 155882727 159284697 159864705 160831385 163740213 163980531 165330165 168938315 169338169 169586703 173918745 174330387 178134957 179864685 183790035 184225041 188931015 190073455 190523333 193795173 195390195 195676965 200126927 200420649 205540335 206026821 210523131 212567355 213070473 217206405 217720503 219834615 224632265 225163939 229030659 230915685 231254595 236513641 236860767 237723255 242911305 243486243 244958571 251215965 251810559 257306049 259804545 265474495 266102837 270672597 272900355 273300885 273947751 279926361 280945665 282644505 287756469 289496493 290550645 296891595 297594297 304088967 307041735 307768461 314485171 322991955 323756433 330822063 332026695 334034415 340075827 342132219 343378035 350871885 351702351 353829047 355117455 362867505 363726363 371664293 373565115 381717765 382621239 390971529 392395185 394767945 395702307 404338077 405810405 408264285 415648233 418161601 419684265 428843415 429858429 441486045 451120995 452188737 456579585 466543935 467648181 477854091 479594115 482494155 491220639 494190983 495990495 506814945 508014507 508760109 512947435 521756235 522991161 534404871 539594055 551370105 552675123 566793045 570220365 571569999 584043889 586170585 587030895 600380781 601261947 606210605 616621005 618080463 631569393 637702065 639211419 651619215 653161509 659503845 673896795 675491817 692747055 693763785 709540923 710582301 716430715 728733915 730458729 734875713 753647895 755431677 771918147 779413635 796423485 798308511 818701065 819902655 821843253 839779083 846690845 847933515 863269407 868489479 871651935 890674785 892782891 912266901 921125205 923305383 943455513 952616665 968975865 971269299 992466189 1000634635 1002103245 1020227481 1026396657 1030134105 1052615655 1055107053 1061487141 1065352365 1088602515 1091179089 1114992879 1125819695 1145153295 1147863717 1172914587 1182568205 1184303835 1187106921 1213014231 1217431215 1224792855 1246944699 1254484803 1259052795 1286530245 1289575287 1330514185 1333663331 1353362985 1356566211 1369738755 1399631805 1402944543 1433562273 1438782345 1447482465 1473661917 1482572949 1487971485 1520444835 1524043521 1526280327 1538842305 1572425855 1576147573 1603214613 1618782165 1654110315 1658025369 1700379135 1710661095 1714709997 1752131667 1758511755 1769145235 1801142343 1803785841 1818631815 1858321465 1862719859 1894708179 1913106195 1917634257 1954857645 1959484527 1978511535 2021690385 2026475451 2078241165 2090808005 2128622769 2131746903 2149292145 2201396197 2204627139 2260943685 2266295031 2315754441 2338240905 2389270455 2394925533 2456103195 2470954915 2476803329 2519337249 2540072535 2543800545 2601650051 2605468437 2614955805 2672024355 2678348673 2736800703 2763375615 2769916149 2830366539 2857849995 2920219445 2927131207 2977398567 3001903905 3006309735 3079189971 3090402315 3157846965 3165321159 3184461423 3196057095 3265807545 3273537267 3344978637 3377459085 3459336881 3518743761 3547704615 3552911505 3561320763 3639042693 3652293645 3674378565 3740834097 3763454409 3777158385 3859590735 3868725861 3991542555 4000989993 4088307223 4109216265 4198895415 4208833629 4300686819 4316347035 4342447395 4420985751 4447718847 4463914455 4561334505 4572130563 4599777611 4616526915 4717277565 4728442719 4856346495 4962330945 4974076107 5101137405 5131983285 5144129991 5256395001 5275535265 5307435705 5403427029 5436100813 5455895445 5574964395 5588159577 5739318585 5752902771 5864572935 5878453581 5935534605 6065071155 6079426353 6234723495 6272424015 6385868307 6424482779 6447876435 6604188591 6613881417 6668316655 6782831055 6798885093 6947263323 7014722715 7167811365 7184776599 7368309585 7412864745 7430409987 7620217605 7631401635 7804950153 7816405311 7880737865 8016073065 8035046019 8210402109 8290126845 8309748447 8491099617 8573549985 8760658335 8781393621 9005711715 9018929205 9237569913 9313599295 9473540895 9495963477 9553384269 9588171285 9797422635 9820611801 10034935911 10132377255 10378010643 10643113845 10658734515 10683962289 10917128079 11006980985 11023135695 11222502291 11290363227 11331475155 11578772205 11606177583 11974627665 12002969979 12264921669 12384016645 12596686245 12626500887 12902060457 13008250255 13027342185 13262957253 13343156541 13391743365 13684003515 13716391689 13799332833 13849580745 14151832695 14185328157 14635656035 14886992835 14922228321 15395949855 15432389973 15769185003 15826605795 15922307115 16210281087 16308302439 16367686335 16724893185 16764478731 17296684405 17337623303 17593718805 17635360743 17806603815 18195213465 18238279059 18704170485 18817272045 19157604921 19273448337 19343629305 19812565773 19841644251 20004949965 20441536115 20489918449 20841789969 21044168145 21503434095 21554329797 22104928755 22238594235 22291229961 22860652815 22998888055 23414850459 23449215933 23642213595 24215358167 24631206327 24870380535 24929245341 25473298851 25720649955 26281975005 26344180863 27017135145 27180504065 27712709739 27940797885 28618150561 28660152807 28764513855 29392267905 29461835403 30104807733 30397131765 31134031929 31929341535 32122413895 32198443277 32751384237 33020942955 33069407085 33871089681 33994425465 34736316615 34818532749 35923882995 36008909937 36794765007 37152049935 38052705691 38706181371 39024750765 39082026555 40029469623 40175230095 41052010545 41149175067 41397998499 41548742235 42455498085 42555984471 43906968105 44971379453 46187849565 46297169919 47307555009 47479817385 47766921345 48630843261 48924907317 49103059005 50174679555 50293436193 51890053215 52012869909 53419811445 54585640395 54714837177 56112511455 56451816135 57472814763 57820345011 58030887915 59437697319 59797108943 60014849895 61324608345 61469755347 63132504435 64510302285 64662989391 66314786265 66715782705 66873689883 68581958445 68996664165 70244551377 70669310569 70926640785 72646074501 74611141605 74787736023 76419896553 77161949865 78845925015 79032542589 81051405435 81541512195 83822393655 85854451683 85980458421 86688116515 88176803715 88385506209 90314423199 91191395295 93402095787 95788024605 96367241685 96595329831 99062828865 99208221255 101613269043 102449592245 104208949845 104455598247 107771648985 108026729811 110384295021 111456149805 114158117073 117074252295 117246079665 120088408869 121076790835 123156031635 123447525201 124193995497 124646226705 127366494255 127667953413 131720904315 134914138359 138563548695 138891509757 141922665027 143090752805 143300764035 145892529783 146774721951 147309177015 150524038665 150880308579 155670159645 156038609727 160992216385 163756921185 164144511531 169355448405 172418444289 173461035033 174092663745 178313091957 179391326829 180044549685 183973825035 184409266041 190263528455 193530906855 193988968173 200147348115 200621069649 205745875335 206989992495 210733654131 212007931707 212779922355 217938223503 224856897265 225389102939 229259689659 231485849595 236537775045 237097627767 243154216305 244624536585 251467180965 257563355049 257941375263 260064349545 266368939837 270943269597 273574185885 280206287361 287364073815 289101725055 289785989493 297188486595 298985544715 304839807129 307348776735 314799656171 323314946955 324080189433 331152885063 334368449415 342474351219 351222756885 353346552845 360265226607 363230372505 372581986491 373938680115 382099482765 383003860239 395162712945 404742415077 418579762601 425767995081 429272258415 429902292105 440324165853 441927531045 451572115995 452640925737 467010478935 468115829181 482976649155 494685173983 508066345215 520383105099 522277991235 534939275871 538173980487 540133649055 551921475105 553227798123 570790585365 600442044345 601863208947 617237626005 620969977485 632200962393 636023795121 638339767065 653814670509 674570691795 676167308817 694457548785 709613325135 711292883301 729462648915 733873609755 754401542895 772690065147 777362416259 780193048635 799106819511 820722557655 840618862083 862092221445 867305175165 869357968479 891565459785 896956634145 922046330205 944398968513 969944840865 972240568299 993458655189 1003105348245 1027423053657 1053668270655 1060039658535 1089691117515 1117745959473 1126945514695 1146298448295 1149011580717 1185488138835 1214227245231 1255739287803 1287816775245 1289706876315 1320972497559 1331844699185 1354716347985 1357922777211 1401031436805 1404347487543 1448929947465 1484055521949 1524199035645 1561149315297 1573998280855 1604817827613 1614521941461 1620400947165 1655764425315 1659683394369 1712371756095 1801326133035 1805589626841 1862909932455 1896602887179 1908071385363 1915019301195 1961444011527 2023712075385 2028501926451 2092898813005 2128839975405 2133878649903 2201620829265 2263204628685 2318070195441 2332087248777 2340579145905 2397320458533 2473425869915 2521856586249 2601915525495 2608073905437 2674696379355 2690869902435 2766138990615 2833196905539 2930058338207 2980375965567 3009316044735 3082269160971 3161004811965 3180118975605 3269073352545 3353237878419 3380836544085 3462796217881 3556464416505 3642681735693 3767217863409 3863450325735 3886812081295 3962917492677 3995534097555 4203094310415 4213042462629 4346789842395 4452166565847 4683447945891 4721994842565 4843565824383 4861202841495 4967293275945 4979050183107 5137115268285 5441536913813 5588729797365 5724214156089 5745057903585 5884332034581 6071136226155 6085505779353 6278696439015 6604862487795 6789613886055 6954210586323 6996261746331 7021737437715 7191961375599 7420277609745 7805746576485 7824221716311 8024089138065 8072609707305 8298416971845 8499590716617 8790175014621 9027948134205 9246807482913 9483014435895 9540356926815 9807220057635 10142509632255 10388388653643 10669393249515 10928045207079 11301653590227 11590350977205 11660436243885 11986602292665 12609282931245 12639127387887 13040369527185 13356499697541 14165984527695 14530697473149 14650291691035 14901879827835 14937150549321 15411345804855 16324610741439 16766189392095 17172642468267 17313981089405 17652996103743 18213408678465 18256517338059 18836089317045 19814587463385 20862631758969 20988785238993 21065212313145 21575884126797 22260832829235 23417239729455 23472665148933 24217829121915 24895250915535 25498772149851 26370525043863 27207684569065 27740422448739 28621070780445 29421660172905 30427528896765 31165165960929 32784135621237 33904960770681 34771052931615 34981308731655 35959806877995 38090758396691 39121108581555 40069499092623 42497953583085 43592092419447 43950875073105 46234037414565 48973832224317 51517927404801 51941943268215 54640226035395 54769552014177 56508267951135 62966355716979 63195636939435 64727652380391 66782498487705 72653487365745 74685752746605 76496316449553 79111575131589 81623053707195 85863212341335 88264980518715 91282586690295 93495497882787 101714882312043 104313158794845 104943926194965 107879420633985 114272275190073 117363325744665 120208497277869 127493860749255 131852625219315 138702112243695 146921496672951 155825829804645 163920678106185 164308656042531 169524803853405 188899067150937 190453791983455 194182957141173 200347495463115 217960462097235 229488949348659 237334725394767 244869161121585 257589637024005 273847760070885 280486493648361 305144646936129 314831778584895 323638261901955 342816825570219 360625491833607 382481582247765 395557875657945 440764490018853 467477489413935 508574411560215 566697201452811 571361375950365 601042486389345 712004176184301 734607483364755 821543280212655 841459480945083 944495335754685 970914785705865 1028450476710657 1147444746743295 1186673626973835 1322293470056559 1402432468241805 1525723234680645 1714084127851095 1803127459168035 2136012528552903 2203822450094265 2524378442835249 2833486007264055 3085351430131971 3560020880921505 3966880410169677 4207297404725415 5142252383553285 6611467350282795 9256054290395913 10680062642764515 12621892214176245 15426757150659855 19834402050848385 27768162871187739 46280271451979565 138840814355938695
- Sum of all divisors σ(n): 346277558668500648
- Sum of proper divisors (its aliquot sum) s(n): 207436744312561953
- 138840814355938695 is an abundant number, because the sum of its proper divisors (207436744312561953) is greater than itself. Its abundance is 68595929956623258
Bases of 138840814355938695
- Binary: 1111011010100001011111100001011000000001011111101100001112
- Hexadecimal: 0x1ED42FC2C02FD87
- Base-36: 11Z2YLL3XHFR
Squares and roots of 138840814355938695
- 138840814355938695 squared (1388408143559386952) is 19276771731020232422487814598303025
- 138840814355938695 cubed (1388408143559386953) is 2676402685288387093759632630966476391184277933052375
-
The
square root of 138840814355938695 is 372613491.9134554029 -
The
cube root of 138840814355938695 is 517812.3259296595 - Being both a perfect square and a perfect cube, 138840814355938695 is also a
perfect sixth number .
Scales and comparisons
How big is 138840814355938695?- 138,840,814,355,938,695 seconds is equal to 4,414,708,433 years, 35 weeks, 3 days, 9 hours, 38 minutes, 15 seconds.
-
To count from 1 to 138,840,814,355,938,695 would take you about thirteen billion, two hundred forty-four million, one hundred twenty-five thousand, three hundred one 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 138840814355938695 cubic inches would be around 43151 feet tall.
Recreational maths with 138840814355938695
- 138840814355938695 backwards is 596839553418048831
- The number of decimal digits it has is: 18
- The sum of 138840814355938695's digits is 90
- 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 138840814355938695 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
APA style:
Numbermatics. (2024). Number 138840814355938695 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/138840814355938695/
Chicago style:
Numbermatics. 2024. "Number 138840814355938695 - Facts about the integer". https://numbermatics.com/n/138840814355938695/
The information we have on file for 138840814355938695 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 138840814355938695, math, Factors of 138840814355938695, curriculum, school, college, exams, university, Prime factorization of 138840814355938695, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred forty trillion, eight hundred fourteen billion, three hundred fifty-five million, nine hundred thirty-eight thousand, six hundred ninety-five.