138435534392393728
138,435,534,392,393,728 is an even composite number composed of four prime numbers multiplied together.
What does the number 138435534392393728 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 966 divisors.
138435534392393728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred sixty-six divisors.
Prime factorization of 138435534392393728:
222 × 76 × 472 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 7 × 47 × 47 × 127)See below for interesting mathematical facts about the number 138435534392393728 from the Numbermatics database.
Names of 138435534392393728
- Cardinal: 138435534392393728 can be written as One hundred thirty-eight quadrillion, four hundred thirty-five trillion, five hundred thirty-four billion, three hundred ninety-two million, three hundred ninety-three thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38435534392393728 × 1017
Factors of 138435534392393728
Divisors of 138435534392393728
- Number of divisors d(n): 966
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 47 49 56 64 94 98 112 127 128 188 196 224 254 256 329 343 376 392 448 508 512 658 686 752 784 889 896 1016 1024 1316 1372 1504 1568 1778 1792 2032 2048 2209 2303 2401 2632 2744 3008 3136 3556 3584 4064 4096 4418 4606 4802 5264 5488 5969 6016 6223 6272 7112 7168 8128 8192 8836 9212 9604 10528 10976 11938 12032 12446 12544 14224 14336 15463 16121 16256 16384 16807 17672 18424 19208 21056 21952 23876 24064 24892 25088 28448 28672 30926 32242 32512 32768 33614 35344 36848 38416 41783 42112 43561 43904 47752 48128 49784 50176 56896 57344 61852 64484 65024 65536 67228 70688 73696 76832 83566 84224 87122 87808 95504 96256 99568 100352 108241 112847 113792 114688 117649 123704 128968 130048 131072 134456 141376 147392 153664 167132 168448 174244 175616 191008 192512 199136 200704 216482 225694 227584 229376 235298 247408 257936 260096 262144 268912 280543 282752 292481 294784 304927 307328 334264 336896 348488 351232 382016 385024 398272 401408 432964 451388 455168 458752 470596 494816 515872 520192 524288 537824 561086 565504 584962 589568 609854 614656 668528 673792 696976 702464 757687 764032 770048 789929 796544 802816 865928 902776 910336 917504 941192 989632 1031744 1040384 1048576 1075648 1122172 1131008 1169924 1179136 1219708 1229312 1337056 1347584 1393952 1404928 1515374 1528064 1540096 1579858 1593088 1605632 1731856 1805552 1820672 1835008 1882384 1963801 1979264 2047367 2063488 2080768 2097152 2134489 2151296 2244344 2262016 2339848 2358272 2439416 2458624 2674112 2695168 2787904 2809856 3030748 3056128 3080192 3159716 3186176 3211264 3463712 3611104 3641344 3670016 3764768 3927602 3958528 4094734 4126976 4161536 4194304 4268978 4302592 4488688 4524032 4679696 4716544 4878832 4917248 5303809 5348224 5390336 5529503 5575808 5619712 6061496 6112256 6160384 6319432 6372352 6422528 6927424 7222208 7282688 7340032 7529536 7855204 7917056 8189468 8253952 8323072 8537956 8605184 8977376 9048064 9359392 9433088 9757664 9834496 10607618 10696448 10780672 11059006 11151616 11239424 12122992 12224512 12320768 12638864 12744704 12845056 13746607 13854848 14331569 14444416 14565376 14680064 14941423 15059072 15710408 15834112 16378936 16507904 16646144 17075912 17210368 17954752 18096128 18718784 18866176 19515328 19668992 21215236 21392896 21561344 22118012 22303232 22478848 24245984 24449024 24641536 25277728 25489408 25690112 27493214 27709696 28663138 28888832 29130752 29360128 29882846 30118144 31420816 31668224 32757872 33015808 33292288 34151824 34420736 35909504 36192256 37126663 37437568 37732352 39030656 39337984 42430472 42785792 43122688 44236024 44606464 44957696 48491968 48898048 49283072 50555456 50978816 51380224 54986428 55419392 57326276 57777664 58261504 59765692 60236288 62841632 63336448 65515744 66031616 66584576 68303648 68841472 71819008 72384512 74253326 74875136 75464704 78061312 78675968 84860944 85571584 86245376 88472048 89212928 89915392 96226249 96983936 97796096 98566144 100320983 101110912 101957632 102760448 109972856 110838784 114652552 115555328 116523008 119531384 120472576 125683264 126672896 131031488 132063232 133169152 136607296 137682944 143638016 144769024 148506652 149750272 150929408 156122624 157351936 169721888 171143168 172490752 176944096 178425856 179830784 192452498 193967872 195592192 197132288 200641966 202221824 203915264 205520896 219945712 221677568 229305104 231110656 233046016 239062768 240945152 251366528 253345792 259886641 262062976 264126464 266338304 273214592 275365888 287276032 289538048 297013304 299500544 301858816 312245248 314703872 339443776 342286336 344981504 353888192 356851712 359661568 384904996 387935744 391184384 401283932 404443648 407830528 439891424 443355136 458610208 462221312 466092032 478125536 481890304 502733056 506691584 519773282 524125952 528252928 532676608 546429184 550731776 574552064 579076096 594026608 599001088 603717632 624490496 629407744 673583743 678887552 684572672 689963008 702246881 707776384 713703424 719323136 769809992 775871488 782368768 802567864 808887296 815661056 879782848 886710272 917220416 924442624 932184064 956251072 963780608 1005466112 1013383168 1039546564 1048251904 1056505856 1092858368 1101463552 1149104128 1158152192 1188053216 1198002176 1207435264 1248980992 1258815488 1347167486 1357775104 1369145344 1379926016 1404493762 1415552768 1427406848 1438646272 1539619984 1551742976 1564737536 1605135728 1617774592 1631322112 1759565696 1773420544 1834440832 1848885248 1864368128 1912502144 1927561216 2010932224 2026766336 2079093128 2096503808 2113011712 2185716736 2202927104 2298208256 2316304384 2376106432 2396004352 2414870528 2497961984 2517630976 2694334972 2715550208 2738290688 2808987524 2831105536 2854813696 3079239968 3103485952 3129475072 3210271456 3235549184 3262644224 3519131392 3546841088 3668881664 3697770496 3728736256 3825004288 3855122432 4021864448 4053532672 4158186256 4193007616 4226023424 4371433472 4405854208 4596416512 4632608768 4715086201 4752212864 4792008704 4829741056 4995923968 5035261952 5388669944 5431100416 5476581376 5617975048 5662211072 5709627392 6158479936 6206971904 6258950144 6420542912 6471098368 6525288448 7038262784 7093682176 7337763328 7395540992 7650008576 7710244864 8043728896 8107065344 8316372512 8386015232 8452046848 8742866944 8811708416 9192833024 9265217536 9430172402 9504425728 9584017408 9659482112 9991847936 10070523904 10777339888 10862200832 10953162752 11235950096 11324422144 11419254784 12316959872 12413943808 12517900288 12841085824 12942196736 13050576896 14076525568 14187364352 14675526656 14791081984 15300017152 15420489728 16087457792 16214130688 16632745024 16772030464 16904093696 17485733888 17623416832 18385666048 18860344804 19008851456 19168034816 19983695872 21554679776 21724401664 21906325504 22471900192 22648844288 22838509568 24633919744 24827887616 25035800576 25682171648 25884393472 26101153792 28153051136 28374728704 29351053312 29582163968 30600034304 30840979456 32174915584 32428261376 33005603407 33265490048 33544060928 33808187392 34971467776 35246833664 36771332096 37720689608 38017702912 38336069632 39967391744 43109359552 43448803328 43812651008 44943800384 45297688576 45677019136 49267839488 49655775232 51364343296 51768786944 56306102272 56749457408 58702106624 59164327936 61200068608 61681958912 64349831168 64856522752 66011206814 66530980096 67088121856 67616374784 69942935552 70493667328 73542664192 75441379216 76035405824 76672139264 79934783488 86218719104 86897606656 87625302016 89887600768 90595377152 91354038272 98535678976 99311550464 102728686592 103537573888 112612204544 113498914816 117404213248 118328655872 122400137216 123363917824 128699662336 132022413628 133061960192 134176243712 139885871104 147085328384 150882758432 152070811648 153344278528 159869566976 172437438208 173795213312 175250604032 179775201536 181190754304 182708076544 197071357952 198623100928 205457373184 207075147776 225224409088 226997829632 234808426496 236657311744 244800274432 246727835648 257399324672 264044827256 266123920384 268352487424 279771742208 294170656768 301765516864 304141623296 306688557056 319739133952 344874876416 347590426624 359550403072 362381508608 394142715904 397246201856 410914746368 414150295552 450448818176 453995659264 469616852992 473314623488 489600548864 493455671296 514798649344 528089654512 532247840768 536704974848 559543484416 588341313536 603531033728 608283246592 613377114112 639478267904 689749752832 695180853248 719100806144 724763017216 788285431808 794492403712 821829492736 828300591104 900897636352 939233705984 979201097728 1029597298688 1056179309024 1064495681536 1073409949696 1119086968832 1176682627072 1207062067456 1216566493184 1226754228224 1278956535808 1379499505664 1390361706496 1438201612288 1449526034432 1576570863616 1588984807424 1643658985472 1656601182208 1801795272704 1878467411968 1958402195456 2059194597376 2112358618048 2128991363072 2146819899392 2238173937664 2414124134912 2433132986368 2758999011328 2780723412992 2876403224576 2899052068864 3153141727232 3177969614848 3287317970944 3313202364416 3603590545408 3756934823936 3916804390912 4118389194752 4224717236096 4257982726144 4293639798784 4476347875328 4828248269824 4866265972736 5517998022656 5561446825984 5752806449152 5798104137728 6306283454464 6574635941888 7207181090816 7513869647872 7833608781824 8236778389504 8449434472192 8515965452288 8587279597568 8952695750656 9656496539648 9732531945472 11035996045312 11122893651968 11505612898304 11596208275456 12612566908928 13149271883776 14414362181632 15027739295744 15667217563648 16898868944384 17031930904576 19312993079296 19465063890944 22071992090624 22245787303936 23011225796608 23192416550912 25225133817856 26298543767552 28828724363264 30055478591488 31334435127296 33797737888768 34063861809152 38625986158592 38930127781888 44143984181248 46022451593216 50450267635712 52597087535104 57657448726528 60110957182976 62668870254592 67595475777536 68127723618304 77251972317184 77860255563776 88287968362496 92044903186432 100900535271424 105194175070208 135190951555072 136255447236608 154503944634368 155720511127552 176575936724992 184089806372864 201801070542848 210388350140416 270381903110144 272510894473216 309007889268736 353151873449984 368179612745728 403602141085696 420776700280832 540763806220288 545021788946432 618015778537472 706303746899968 736359225491456 1081527612440576 1090043577892864 1236031557074944 1412607493799936 1472718450982912 2163055224881152 2472063114149888 2825214987599872 2945436901965824 4326110449762304 4944126228299776 8652220899524608 9888252456599552 17304441799049216 19776504913199104 34608883598098432 69217767196196864 138435534392393728
- Sum of all divisors σ(n): 332633418875487104
- Sum of proper divisors (its aliquot sum) s(n): 194197884483093376
- 138435534392393728 is an abundant number, because the sum of its proper divisors (194197884483093376) is greater than itself. Its abundance is 55762350090699648
Bases of 138435534392393728
- Binary: 1111010111101001001100010100100111100000000000000000000002
- Hexadecimal: 0x1EBD26293C00000
- Base-36: 11V3AUJHNJLS
Squares and roots of 138435534392393728
- 138435534392393728 squared (1384355343923937282) is 19164397182507626701834341773737984
- 138435534392393728 cubed (1384355343923937283) is 2653033565268528016857959912951046798146636036964352
-
The
square root of 138435534392393728 is 372069260.2088940753 -
The
cube root of 138435534392393728 is 517307.9989949357
Scales and comparisons
How big is 138435534392393728?- 138,435,534,392,393,728 seconds is equal to 4,401,821,784 years, 23 weeks, 4 days, 14 hours, 15 minutes, 28 seconds.
-
To count from 1 to 138,435,534,392,393,728 would take you about thirteen billion, two hundred five million, four hundred sixty-five thousand, three hundred fifty-three 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 138435534392393728 cubic inches would be around 43109 feet tall.
Recreational maths with 138435534392393728
- 138435534392393728 backwards is 827393293435534831
- The number of decimal digits it has is: 18
- The sum of 138435534392393728's digits is 82
- More coming soon!
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The information we have on file for 138435534392393728 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 138435534392393728, math, Factors of 138435534392393728, curriculum, school, college, exams, university, Prime factorization of 138435534392393728, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred thirty-five trillion, five hundred thirty-four billion, three hundred ninety-two million, three hundred ninety-three thousand, seven hundred twenty-eight.