138531259027319808
138,531,259,027,319,808 is an even composite number composed of six prime numbers multiplied together.
138531259027319808 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred eighty-two divisors.
Prime factorization of 138531259027319808:
210 × 3 × 132 × 412 × 432 × 2932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 41 × 41 × 43 × 43 × 293 × 293)See below for interesting mathematical facts about the number 138531259027319808 from the Numbermatics database.
Names of 138531259027319808
- Cardinal: 138531259027319808 can be written as One hundred thirty-eight quadrillion, five hundred thirty-one trillion, two hundred fifty-nine billion, twenty-seven million, three hundred nineteen thousand, eight hundred eight.
Scientific notation
- Scientific notation: 1.38531259027319808 × 1017
Factors of 138531259027319808
Divisors of 138531259027319808
- Number of divisors d(n): 1782
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 41 43 48 52 64 78 82 86 96 104 123 128 129 156 164 169 172 192 208 246 256 258 293 312 328 338 344 384 416 492 507 512 516 533 559 586 624 656 676 688 768 832 879 984 1014 1024 1032 1066 1118 1172 1248 1312 1352 1376 1536 1599 1664 1677 1681 1758 1763 1849 1968 2028 2064 2132 2236 2344 2496 2624 2704 2752 3072 3198 3328 3354 3362 3516 3526 3698 3809 3936 4056 4128 4264 4472 4688 4992 5043 5248 5289 5408 5504 5547 6396 6656 6708 6724 6929 7032 7052 7267 7396 7618 7872 8112 8256 8528 8944 9376 9984 10086 10496 10578 10816 11008 11094 11427 12013 12599 12792 13312 13416 13448 13858 14064 14104 14534 14792 15236 15744 16224 16512 17056 17888 18752 19968 20172 20787 20992 21156 21632 21801 21853 22016 22188 22854 22919 24026 24037 25198 25584 26832 26896 27716 28128 28208 29068 29584 30472 31488 32448 33024 34112 35776 36039 37504 37797 39936 40344 41574 41984 42312 43264 43602 43706 44032 44376 45708 45838 48052 48074 49517 50396 51168 53664 53792 55432 56256 56416 58136 59168 60944 62976 64896 65559 66048 68224 68757 71552 72078 72111 72283 75008 75594 75809 80688 83148 84624 85849 86528 87204 87412 88752 91416 91676 96104 96148 99034 100792 102336 107328 107584 110864 112512 112832 116272 118336 121888 125952 129792 131118 132096 136448 137514 143104 144156 144222 144566 148551 150016 151188 151618 156169 161376 163787 166296 169248 171698 173056 174408 174824 177504 182832 183352 192208 192296 198068 201584 204672 214656 215168 216849 221728 225024 225664 227427 232544 236672 243776 257547 259584 262236 272896 275028 284089 286208 288312 288444 289132 297102 297947 300032 302376 303236 312338 312481 322752 327574 332592 338496 343396 348816 349648 355008 365664 366704 384416 384592 396136 403168 409344 429312 430336 433698 443456 450048 451328 454854 465088 468507 473344 487552 491361 492533 515094 516559 519168 524472 541757 545792 550056 568178 572416 576624 576888 578264 594204 595894 604752 606472 624676 624962 645504 655148 665184 676992 686792 697632 699296 710016 731328 733408 768832 769184 792272 806336 818688 852267 858624 860672 867396 886912 893841 900096 902656 909708 930176 937014 937443 939679 946688 975104 982722 985066 985517 1030188 1033118 1048944 1083514 1100112 1116037 1136356 1153248 1153776 1156528 1188408 1191788 1209504 1212944 1249352 1249924 1291008 1310296 1330368 1353984 1373584 1395264 1398592 1420032 1462656 1466816 1477599 1537664 1538368 1549677 1584544 1612672 1625271 1637376 1704534 1717248 1721344 1734792 1773824 1787682 1805312 1819416 1860352 1874028 1874886 1879358 1893376 1950208 1965444 1970132 1971034 2030197 2060376 2066236 2097888 2129231 2167028 2200224 2232074 2272712 2306496 2307552 2313056 2376816 2383576 2419008 2425888 2498704 2499848 2582016 2620592 2660736 2707968 2747168 2790528 2797184 2819037 2840064 2925312 2933632 2955198 2956551 3075328 3076736 3099354 3108169 3169088 3225344 3250542 3348111 3409068 3469584 3519809 3547648 3575364 3638832 3691507 3720704 3748056 3749772 3758716 3900416 3930888 3940264 3942068 4060394 4120752 4132472 4195776 4258462 4334056 4400448 4464148 4545424 4612992 4615104 4626112 4753632 4767152 4838016 4851776 4997408 4999696 5164032 5241184 5321472 5415936 5494336 5581056 5594368 5638074 5680128 5850624 5867264 5910396 5913102 6090591 6150656 6153472 6198708 6216338 6338176 6387693 6402929 6450688 6501084 6696222 6715267 6818136 6939168 7039618 7042841 7095296 7150728 7277664 7383014 7441408 7496112 7499544 7517432 7861776 7880528 7884136 8120788 8241504 8264944 8391552 8516924 8668112 8800896 8928296 9090848 9225984 9230208 9252224 9324507 9507264 9534304 9676032 9703552 9994816 9999392 10482368 10559427 10642944 10988672 11074521 11162112 11188736 11276148 11701248 11734528 11820792 11826204 12181182 12215827 12301312 12306944 12397416 12432676 12676352 12775386 12805858 12811721 12901376 13002168 13392444 13430534 13636272 13878336 14079236 14085682 14301456 14508481 14555328 14766028 14992224 14999088 15034864 15723552 15761056 15768272 16241576 16483008 16529888 16783104 17033848 17336224 17601792 17856592 18181696 18451968 18460416 18504448 18649014 19014528 19068608 19208787 19352064 19407104 19989632 19998784 20145801 20964736 21118854 21128523 21178919 21285888 21977344 22149042 22212037 22324224 22377472 22552296 23469056 23641584 23652408 24362364 24431654 24613888 24794832 24865352 25352704 25550772 25611716 25623442 26004336 26784888 26861068 27272544 27756672 28158472 28171364 28602912 29016962 29110656 29532056 29984448 29998176 30069728 31447104 31522112 31536544 32483152 32966016 33059776 33566208 34067696 34672448 35203584 35713184 36363392 36647481 36903936 36920832 37008896 37298028 38029056 38137216 38417574 38435163 38704128 38814208 39979264 39997568 40291602 40406197 41929472 42237708 42257046 42357838 43525443 43954688 44298084 44424074 45104592 45757517 47283168 47304816 47989591 48724728 48863308 49589664 49730704 50705408 51101544 51223432 51246884 52008672 53569776 53722136 54545088 55513344 56316944 56342728 57205824 58033924 58221312 59064112 59968896 59996352 60139456 62894208 63044224 63073088 63536757 64966304 65932032 66119552 66636111 67132416 68135392 69344896 70407168 71426368 72726784 73294962 73841664 74017792 74596056 76058112 76274432 76835148 76870326 77628416 79958528 79995136 80583204 80812394 83238077 83858944 84475416 84514092 84715676 87050886 87298471 87909376 88596168 88848148 90209184 91515034 91556933 94566336 94609632 95979182 97449456 97726616 99179328 99461408 102203088 102446864 102493768 104017344 107139552 107444272 109090176 111026688 112633888 112685456 114411648 116067848 116442624 118128224 119937792 119992704 120278912 121218591 125788416 126088448 126146176 127073514 129932608 131864064 132239104 133272222 136270784 137272551 138689792 142852736 143968773 144312169 145453568 146589924 149192112 151351787 152116224 152548864 153670296 153740652 158734801 159917056 159990272 161166408 161624788 166476154 167717888 168950832 169028184 169431352 174101772 174596942 177192336 177696296 180418368 183030068 183113866 189132672 189219264 191958364 194898912 195453232 198358656 198922816 204406176 204893728 204987536 208034688 214279104 214888544 218180352 222053376 225267776 225370912 228823296 232135696 232885248 236256448 239875584 239985408 240557824 242437182 249714231 251576832 252176896 252292352 254147028 259865216 261895413 263728128 264478208 266544444 272541568 274545102 274670799 275325947 277379584 285705472 287937546 288624338 288756481 290907136 293179848 298384224 302703574 305097728 307340592 307481304 317469602 319980544 322332816 323249576 332952308 337901664 338056368 338862704 348203544 349193884 354384672 355392592 360836736 366060136 366227732 378265344 378438528 383916728 389797824 390906464 396717312 397845632 408812352 409787456 409975072 416069376 428558208 429777088 432936507 436360704 450535552 450741824 454055361 457646592 464271392 472512896 476204403 479751168 479970816 481115648 484874364 499428462 503153664 504353792 504584704 508294056 519730432 523790826 525280561 528956416 533088888 545083136 549090204 549341598 550651894 554759168 571410944 575875092 577248676 577512962 586359696 594847721 596768448 605407148 614681184 614962608 623864683 634939204 644665632 646499152 665904616 675803328 676112736 677725408 696407088 698387768 708769344 710785184 721673472 732120272 732455464 756530688 756877056 767833456 779595648 781812928 793434624 795691264 817624704 819574912 819950144 825977841 832138752 857116416 859554176 865873014 866269443 872721408 901071104 901483648 908110722 910693517 915293184 928542784 945025792 952408806 959941632 962231296 969748728 998856924 1009169408 1016588112 1039460864 1047581652 1050561122 1066177776 1090166272 1098180408 1098683196 1101303788 1142821888 1151750184 1154497352 1155025924 1172719392 1189695442 1193536896 1210814296 1229362368 1229925216 1247729366 1269878408 1289331264 1292998304 1331809232 1351606656 1352225472 1355450816 1392814176 1396775536 1417538688 1421570368 1443346944 1464240544 1464910928 1513061376 1513754112 1535666912 1559191296 1563625856 1575841683 1586869248 1591382528 1635249408 1639149824 1639900288 1651955682 1664277504 1714232832 1719108352 1731746028 1732538886 1784543163 1802142208 1802967296 1816221444 1821387034 1857085568 1871594049 1876058197 1890051584 1904817612 1939497456 1967573231 1997713848 2033176224 2063552413 2078921728 2095163304 2101122244 2132355552 2180332544 2196360816 2197366392 2202607576 2303500368 2308994704 2310051848 2345438784 2379390884 2387073792 2421628592 2458724736 2459850432 2495458732 2539756816 2578662528 2585996608 2663618464 2703213312 2704450944 2710901632 2732080551 2785628352 2793551072 2835077376 2843140736 2886693888 2928481088 2929821856 3027508224 3071333824 3118382592 3127251712 3151683366 3182765056 3270498816 3278299648 3279800576 3303911364 3428465664 3438216704 3463492056 3465077772 3569086326 3579237311 3604284416 3605934592 3632442888 3642774068 3714171136 3743188098 3752116394 3753834253 3780103168 3809635224 3878994912 3935146462 3995427696 4066352448 4127104826 4190326608 4202244488 4264711104 4392721632 4394732784 4405215152 4607000736 4617989408 4620103696 4690877568 4758781768 4774147584 4843257184 4917449472 4919700864 4990917464 5079513632 5157325056 5171993216 5327236928 5406426624 5408901888 5421803264 5464161102 5571256704 5587102144 5628174591 5670154752 5686281472 5856962176 5859643712 5902719693 6142667648 6190657239 6205423267 6236765184 6254503424 6303366732 6508126841 6540997632 6556599296 6559601152 6607822728 6876433408 6926984112 6930155544 7138172652 7158474622 7211869184 7264885776 7285548136 7428342272 7486376196 7504232788 7507668506 7619270448 7757989824 7870292924 7990855392 8132704896 8254209652 8380653216 8404488976 8529422208 8785443264 8789465568 8810430304 9214001472 9235978816 9240207392 9381755136 9517563536 9548295168 9686514368 9834898944 9839401728 9981834928 10159027264 10314650112 10343986432 10654473856 10737711933 10812853248 10817803776 10843606528 10928322204 11142513408 11174204288 11256349182 11261502759 11340309504 11372562944 11713924352 11719287424 11805439386 11839015721 12285335296 12381314478 12410846534 12509006848 12606733464 13016253682 13119202304 13215645456 13853968224 13860311088 14276345304 14316949244 14529771552 14571096272 14856684544 14972752392 15008465576 15015337012 15238540896 15515979648 15740585848 15981710784 16265409792 16508419304 16761306432 16808977952 17058844416 17570886528 17578931136 17620860608 18428002944 18471957632 18480414784 18616269801 18763510272 19035127072 19373028736 19524380523 19669797888 19678803456 19963669856 20318054528 20629300224 20687972864 21308947712 21475423866 21635607552 21687213056 21856644408 22285026816 22348408576 22512698364 22523005518 22745125888 23427848704 23438574848 23610878772 23678031442 24388756561 24570670592 24762628956 24821693068 25213466928 25578452003 26032507364 26431290912 26826181369 27707936448 27720622176 28552690608 28633898488 29059543104 29142192544 29945504784 30016931152 30030674024 30477081792 31031959296 31481171696 31963421568 32530819584 33016838608 33522612864 33617955904 34117688832 35141773056 35157862272 35241721216 35517047163 36856005888 36943915264 36960829568 37232539602 37527020544 38070254144 38746057472 39048761046 39357606912 39927339712 40636109056 41375945728 42617895424 42950847732 43713288816 44570053632 44696817152 45025396728 45046011036 46855697408 46877149696 47221757544 47356062884 48777513122 49141341184 49525257912 49643386136 50426933856 51156904006 52065014728 52862581824 53652362738 55415872896 55441244352 57105381216 57267796976 58119086208 58284385088 59891009568 60033862304 60061348048 60954163584 62063918592 62962343392 63926843136 65061639168 66033677216 67045225728 67235911808 68235377664 70283546112 70315724544 70483442432 71034094326 73166269683 73712011776 73887830528 73921659136 74465079204 76140508288 76735356009 77492114944 78097522092 79854679424 80478544107 80670502471 81272218112 84605648933 85235790848 85901695464 87426577632 89393634304 90050793456 90092022072 93754299392 94443515088 94712125768 97555026244 99050515824 99286772272 100853867712 102313808012 104130029456 105725163648 107304725476 110831745792 110882488704 114210762432 114535593952 116238172416 116568770176 119782019136 120067724608 120122696096 121908327168 124127837184 125924686784 127853686272 132067354432 134090451456 134471823616 140567092224 140631449088 140966884864 142068188652 146332539366 147424023552 147775661056 147843318272 148930158408 152281016576 153470712018 153907204373 154984229888 156195044184 159709358848 160957088214 161341004942 162544436224 169211297866 171803390928 174853155264 180101586912 180184044144 188887030176 189424251536 195110052488 198101031648 198573544544 201707735424 204627616024 208260058912 211450327296 214609450952 221663491584 221764977408 228421524864 229071187904 232476344832 233137540352 239564038272 240135449216 240245392192 242011507413 243816654336 251849373568 253816946799 255707372544 264134708864 266833200481 268180902912 268943647232 281262898176 281933769728 284136377304 292665078732 295686636544 297860316816 304562033152 306941424036 307814408746 312390088368 319418717696 321914176428 322682009884 338422595732 343606781856 349706310528 360203173824 360368088288 377774060352 378848503072 390220104976 396202063296 397147089088 403415470848 409255232048 416520117824 422900654592 429218901904 443326983168 443529954816 456843049728 458142375808 461721613119 464952689664 466275080704 479128076544 480270898432 480490784384 484023014826 487633308672 503698747136 507633893598 528269417728 533666400962 537887294464 568272754608 585330157464 595720633632 609124066304 613882848072 615628817492 624780176736 638837435392 643828352856 645364019768 676845191464 687213563712 699412621056 720406347648 720736176576 755548120704 757697006144 780440209952 792404126592 794294178176 800499601443 806830941696 818510464096 833040235648 845801309184 858437803808 887059909632 913686099456 916284751616 923443226238 932550161408 958256153088 960541796864 960981568768 968046029652 1007397494272 1015267787196 1048716532123 1056538835456 1067332801924 1099873436129 1136545509216 1170660314928 1191441267264 1227765696144 1231257634984 1249560353472 1287656705712 1290728039536 1353690382928 1374427127424 1398825242112 1440812695296 1441472353152 1511096241408 1515394012288 1560880419904 1584808253184 1588588356352 1600999202886 1613661883392 1637020928192 1666080471296 1716875607616 1827372198912 1832569503232 1846886452476 1916512306176 1921083593728 1921963137536 1936092059304 2014794988544 2030535574392 2097433064246 2113077670912 2134665603848 2199746872258 2273091018432 2341320629856 2382882534528 2455531392288 2462515269968 2499120706944 2575313411424 2581456079072 2707380765856 2748854254848 2797650484224 2881625390592 2882944706304 3022192482816 3030788024576 3121760839808 3146149596369 3169616506368 3177176712704 3201998405772 3274041856384 3299620308387 3332160942592 3433751215232 3468831606253 3665139006464 3693772904952 3843926275072 3872184118608 4061071148784 4194866128492 4269331207696 4399493744516 4546182036864 4682641259712 4765765069056 4911062784576 4925030539936 4998241413888 5150626822848 5162912158144 5414761531712 5497708509696 5763250781184 5765889412608 6044384965632 6061576049152 6243521679616 6292299192738 6339233012736 6354353425408 6403996811544 6548083712768 6599240616774 6664321885184 6867502430464 6937663212506 7387545809904 7744368237216 8122142297568 8389732256984 8538662415392 8798987489032 9092364073728 9365282519424 9531530138112 9822125569152 9850061079872 9996482827776 10301253645696 10325824316288 10406494818759 10829523063424 10995417019392 11531778825216 12123152098304 12487043359232 12584598385476 12807993623088 13096167425536 13198481233548 13735004860928 13875326425012 14775091619808 15488736474432 16244284595136 16779464513968 17077324830784 17597974978064 18184728147456 18730565038848 19063060276224 19644251138304 19700122159744 19992965655552 20602507291392 20651648632576 20812989637518 21659046126848 24974086718464 25169196770952 25615987246176 26192334851072 26396962467096 27470009721856 27750652850024 29550183239616 30977472948864 32488569190272 33558929027936 34154649661568 35195949956128 36369456294912 37461130077696 39288502276608 39400244319488 41205014582784 41303297265152 41625979275036 43318092253696 45094810881289 50338393541904 51231974492352 52793924934192 55501305700048 59100366479232 61954945897728 64977138380544 67117858055872 68309299323136 70391899912256 74922260155392 78577004553216 78800488638976 82410029165568 82606594530304 83251958550072 86636184507392 90189621762578 100676787083808 102463948984704 105587849868384 111002611400096 118200732958464 123909891795456 129954276761088 134235716111744 135284432643867 136618598646272 140783799824512 157600977277952 166503917100144 180379243525156 201353574167616 204927897969408 211175699736768 222005222800192 236401465916928 247819783590912 259908553522176 268471432223488 270568865287734 273237197292544 281567599649024 333007834200288 360758487050312 402707148335232 409855795938816 422351399473536 444010445600384 472802931833856 536942864446976 541137730575468 563135199298048 666015668400576 721516974100624 805414296670464 819711591877632 844702798947072 888020891200768 1073885728893952 1082275461150936 1126270398596096 1332031336801152 1443033948201248 1610828593340928 1689405597894144 1776041782401536 2164550922301872 2664062673602304 2886067896402496 3221657186681856 3378811195788288 3552083564803072 4329101844603744 5328125347204608 5772135792804992 8658203689207488 10656250694409216 11544271585609984 17316407378414976 23088543171219968 34632814756829952 46177086342439936 69265629513659904 138531259027319808
- Sum of all divisors σ(n): 421002628645570308
- Sum of proper divisors (its aliquot sum) s(n): 282471369618250500
- 138531259027319808 is an abundant number, because the sum of its proper divisors (282471369618250500) is greater than itself. Its abundance is 143940110590930692
Bases of 138531259027319808
- Binary: 1111011000010100101110010001101001001110001101100000000002
- Hexadecimal: 0x1EC2972349C6C00
- Base-36: 11W18DTXR2TC
Squares and roots of 138531259027319808
- 138531259027319808 squared (1385312590273198082) is 19190909727694375796502915909156864
- 138531259027319808 cubed (1385312590273198083) is 2658540886457141015414619367506936732490086966362112
-
The
square root of 138531259027319808 is 372197876.1725002213 -
The
cube root of 138531259027319808 is 517427.2066107471
Scales and comparisons
How big is 138531259027319808?- 138,531,259,027,319,808 seconds is equal to 4,404,865,531 years, 38 weeks, 6 days, 22 hours, 36 minutes, 48 seconds.
-
To count from 1 to 138,531,259,027,319,808 would take you about thirteen billion, two hundred fourteen million, five hundred ninety-six thousand, five hundred ninety-five 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 138531259027319808 cubic inches would be around 43118.9 feet tall.
Recreational maths with 138531259027319808
- 138531259027319808 backwards is 808913720952135831
- The number of decimal digits it has is: 18
- The sum of 138531259027319808's digits is 75
- More coming soon!
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Cite this page
MLA style:
"Number 138531259027319808 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
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Numbermatics. (2024). Number 138531259027319808 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/138531259027319808/
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Numbermatics. 2024. "Number 138531259027319808 - Facts about the integer". https://numbermatics.com/n/138531259027319808/
The information we have on file for 138531259027319808 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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