138308737104498688
138,308,737,104,498,688 is an even composite number composed of five prime numbers multiplied together.
What does the number 138308737104498688 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1170 divisors.
138308737104498688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred seventy divisors.
Prime factorization of 138308737104498688:
212 × 74 × 13 × 312 × 10612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 13 × 31 × 31 × 1061 × 1061)See below for interesting mathematical facts about the number 138308737104498688 from the Numbermatics database.
Names of 138308737104498688
- Cardinal: 138308737104498688 can be written as One hundred thirty-eight quadrillion, three hundred eight trillion, seven hundred thirty-seven billion, one hundred four million, four hundred ninety-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38308737104498688 × 1017
Factors of 138308737104498688
Divisors of 138308737104498688
- Number of divisors d(n): 1170
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 64 91 98 104 112 124 128 182 196 208 217 224 248 256 343 364 392 403 416 434 448 496 512 637 686 728 784 806 832 868 896 961 992 1024 1061 1274 1372 1456 1519 1568 1612 1664 1736 1792 1922 1984 2048 2122 2401 2548 2744 2821 2912 3038 3136 3224 3328 3472 3584 3844 3968 4096 4244 4459 4802 5096 5488 5642 5824 6076 6272 6448 6656 6727 6944 7168 7427 7688 7936 8488 8918 9604 10192 10633 10976 11284 11648 12152 12493 12544 12896 13312 13454 13793 13888 14336 14854 15376 15872 16976 17836 19208 19747 20384 21266 21952 22568 23296 24304 24986 25088 25792 26624 26908 27586 27776 28672 29708 30752 31213 31744 32891 33952 35672 38416 39494 40768 42532 43904 45136 46592 47089 48608 49972 50176 51584 51989 53248 53816 55172 55552 59416 61504 62426 63488 65782 67904 71344 74431 76832 78988 81536 85064 87451 87808 90272 93184 94178 96551 97216 99944 100352 103168 103978 107632 110344 111104 118832 123008 124852 126976 131564 135808 138229 142688 148862 153664 157976 163072 170128 174902 175616 180544 186368 188356 193102 194432 199888 200704 206336 207956 215264 220688 222208 230237 237664 246016 249704 263128 271616 276458 285376 297724 307328 315952 326144 329623 340256 349804 351232 361088 363923 372736 376712 386204 388864 399776 412672 415912 427583 430528 441376 444416 460474 475328 492032 499408 526256 543232 552916 570752 595448 612157 614656 631904 652288 659246 675857 680512 699608 702464 722176 727846 753424 772408 777728 799552 825344 831824 855166 861056 882752 888832 920948 950656 967603 984064 998816 1019621 1052512 1086464 1105832 1125721 1141504 1190896 1224314 1229312 1263808 1304576 1318492 1351714 1361024 1399216 1404928 1444352 1455692 1506848 1544816 1555456 1599104 1611659 1650688 1663648 1710332 1722112 1765504 1841896 1901312 1935206 1968128 1997632 2039242 2105024 2172928 2211664 2251442 2283008 2307361 2381792 2448628 2458624 2527616 2547461 2609152 2636984 2703428 2722048 2798432 2888704 2911384 2993081 3013696 3089632 3110912 3198208 3223318 3327296 3420664 3444224 3531008 3683792 3802624 3870412 3936256 3995264 4078484 4210048 4285099 4345856 4423328 4502884 4566016 4614722 4730999 4763584 4897256 4917248 5055232 5094922 5273968 5406856 5444096 5596864 5777408 5822768 5986162 6027392 6179264 6221824 6396416 6446636 6654592 6841328 6888448 7062016 7137347 7367584 7605248 7740824 7880047 7990528 8156968 8420096 8570198 8846656 9005768 9132032 9229444 9461998 9527168 9794512 9834496 10110464 10189844 10547936 10813712 10888192 11193728 11281613 11554816 11645536 11972324 12054784 12358528 12792832 12893272 13255073 13309184 13682656 13776896 14124032 14274694 14634373 14735168 15210496 15481648 15760094 15981056 16313936 16840192 17140396 17693312 18011536 18264064 18458888 18923996 19054336 19589024 20220928 20379688 20951567 21095872 21627424 21776384 22387456 22563226 23291072 23944648 24109568 24717056 25585664 25786544 26510146 26618368 27365312 27553792 28248064 28549388 29268746 29470336 29995693 30420992 30963296 31520188 31962112 32627872 33116993 33680384 34280792 34897351 35386624 36023072 36917776 37847992 38108672 39178048 40441856 40759376 41903134 42191744 43254848 43552768 44774912 45126452 46582144 47889296 48219136 49434112 49961429 51171328 51573088 53020292 53236736 54730624 55160329 56496128 57098776 58537492 58940672 59991386 61926592 63040376 63924224 65255744 66233986 67360768 68561584 69794702 70773248 72046144 73835552 75695984 76217344 78356096 78971291 80883712 81518752 83806268 84383488 86509696 89549824 90252904 92785511 93164288 95778592 96438272 98868224 99922858 102440611 103146176 106040584 106473472 109461248 110320658 114197552 117074984 117881344 119982772 123853184 126080752 127848448 130511488 132467972 134721536 137123168 139589404 141546496 144092288 146660969 147671104 151391968 152434688 156712192 157942582 163037504 167612536 168766976 173019392 179099648 180505808 185571022 186328576 191557184 192876544 197736448 199845716 204881222 206292352 212081168 212946944 218922496 220641316 228395104 234149968 235762688 239965544 244281457 247706368 252161504 261022976 264935944 274246336 279178808 283092992 288184576 293321938 295342208 302783936 304869376 313424384 315885164 326075008 335225072 337533952 346038784 349730003 358199296 361011616 371142044 372657152 383114368 386122303 395472896 399691432 409762444 412584704 424162336 437844992 441282632 453665563 456790208 468299936 471525376 479931088 488562914 495412736 504323008 522045952 529871888 548492672 558357616 566185984 576369152 586643876 590684416 605567872 626848768 631770328 649498577 652150016 670450144 675067904 692077568 699460006 717084277 722023232 742284088 745314304 766228736 772244606 799382864 819524888 825169408 848324672 875689984 882565264 907331126 913580416 936599872 943050752 959862176 977125828 990825472 1008646016 1026626783 1044091904 1059743776 1081817881 1096985344 1116715232 1152738304 1173287752 1181368832 1211135744 1253697536 1263540656 1298997154 1304300032 1340900288 1350135808 1384155136 1398920012 1434168554 1444046464 1484568176 1490628608 1532457472 1544489212 1598765728 1639049776 1650338816 1696649344 1709970199 1751379968 1765130528 1814662252 1827160832 1873199744 1919724352 1954251656 1981650944 2017292032 2053253566 2088183808 2119487552 2163635762 2193970688 2233430464 2305476608 2346575504 2362737664 2422271488 2448110021 2507395072 2527081312 2597994308 2608600064 2681800576 2702856121 2768310272 2797840024 2868337108 2888092928 2969136352 3064914944 3088978424 3175658941 3197531456 3278099552 3300677632 3393298688 3419940398 3530261056 3629324504 3654321664 3746399488 3839448704 3908503312 3963301888 4034584064 4106507132 4176367616 4238975104 4327271524 4387941376 4466860928 4546490039 4610953216 4693151008 4725475328 4844542976 4896220042 5019589939 5054162624 5195988616 5217200128 5363601152 5405712242 5595680048 5736674216 5776185856 5938272704 6129829888 6177956848 6351317882 6395062912 6556199104 6601355264 6786597376 6839880796 7060522112 7258649008 7308643328 7492798976 7572725167 7678897408 7817006624 8069168128 8213014264 8477950208 8654543048 8775882752 8933721856 9092980078 9386302016 9450950656 9689085952 9792440084 10039179878 10108325248 10391977232 10434400256 10727202304 10811424484 11191360096 11473348432 11552371712 11876545408 11969791393 12259659776 12355913696 12702635764 12790125824 13112398208 13573194752 13679761592 14063632453 14121044224 14517298016 14617286656 14985597952 15145450334 15357794816 15634013248 16138336256 16426028528 16955900416 17309086096 17551765504 17867443712 18185960156 18772604032 19378171904 19584880168 20078359756 20216650496 20783954464 21454404608 21622848968 22229612587 22382720192 22946696864 23104743424 23753090816 23939582786 24711827392 25405271528 25580251648 26224796416 27146389504 27359523184 28127264906 28242088448 29034596032 29234573312 29971195904 30290900668 30715589632 31268026496 31825430273 32276672512 32852057056 33911800832 34618172192 35137129573 35734887424 36371920312 37545208064 39169760336 40156719512 40433300992 41567908928 42908809216 43245697936 44459225174 44765440384 45893393728 46209486848 47506181632 47879165572 49423654784 50810543056 51160503296 52449592832 53009076169 54292779008 54719046368 56254529812 56484176896 58069192064 59942391808 60581801336 61431179264 62536052992 63650860546 65704114112 67823601664 69236344384 70274259146 71469774848 72743840624 75090416128 78339520672 80313439024 80866601984 83135817856 83788539751 85817618432 86491395872 88918450348 89530880768 91786787456 95012363264 95758331144 98445427171 98847309568 101621086112 102321006592 104899185664 106018152338 109438092736 112509059624 112968353792 116138384128 121163602672 122862358528 125072105984 127301721092 131408228224 135647203328 138472688768 140548518292 142939549696 145487681248 150180832256 155607288109 156679041344 160626878048 161733203968 166271635712 167577079502 172982791744 177836900696 179061761536 183573574912 190024726528 191516662288 196890854342 197694619136 203242172224 204642013184 209798371328 212036304676 218876185472 225018119248 225936707584 232276768256 242327205344 250144211968 254603442184 262816456448 276945377536 281097036584 290975362496 300361664512 311214576218 313358082688 321253756096 323466407936 332543271424 335154159004 345965583488 355673801392 358123523072 367147149824 371063533183 380049453056 383033324576 393781708684 395389238272 406484344448 419596742656 424072609352 437752370944 450036238496 464553536512 484654410688 500288423936 509206884368 525632912896 553890755072 562194073168 581950724992 600723329024 622429152436 626716165376 642507512192 665086542848 670308318008 689117990197 691931166976 711347602784 716247046144 734294299648 742127066366 766066649152 787563417368 790778476544 812968688896 848145218704 875504741888 900072476992 929107073024 969308821376 1000576847872 1018413768736 1051265825792 1089251016763 1107781510144 1124388146336 1163901449984 1244858304872 1253432330752 1285015024384 1330173085696 1340616636016 1378235980394 1383862333952 1422695205568 1432494092288 1468588599296 1484254132732 1532133298304 1575126834736 1581556953088 1625937377792 1696290437408 1751009483776 1800144953984 1858214146048 1938617642752 2036827537472 2102531651584 2178502033526 2215563020288 2248776292672 2327802899968 2489716609744 2506864661504 2570030048768 2597444732281 2660346171392 2681233272032 2756471960788 2767724667904 2845390411136 2937177198592 2968508265464 3064266596608 3150253669472 3251874755584 3392580874816 3502018967552 3600289907968 3877235285504 4073655074944 4205063303168 4357004067052 4431126040576 4497552585344 4655605799936 4823825931379 4979433219488 5013729323008 5140060097536 5194889464562 5362466544064 5512943921576 5535449335808 5690780822272 5937016530928 6128533193216 6300507338944 6503749511168 6785161749632 7004037935104 7200579815936 7754470571008 8147310149888 8714008134104 8995105170688 9311211599872 9647651862758 9958866438976 10027458646016 10280120195072 10389778929124 10724933088128 11025887843152 11070898671616 11381561644544 11874033061856 12257066386432 12601014677888 13007499022336 13570323499264 14401159631872 15508941142016 16294620299776 17428016268208 17990210341376 18622423199744 19295303725516 19917732877952 20560240390144 20779557858248 21449866176256 22051775686304 22763123289088 23748066123712 24514132772864 25202029355776 27140646998528 28802319263744 31017882284032 32589240599552 33766781519653 34856032536416 35980420682752 38590607451032 39835465755904 41559115716496 42899732352512 44103551372608 45526246578176 47496132247424 49028265545728 50404058711552 54281293997056 57604638527488 65178481199104 67533563039306 69712065072832 71960841365504 77181214902064 79670931511808 83118231432992 85799464705024 88207102745216 91052493156352 94992264494848 100808117423104 108562587994112 130356962398208 135067126078612 139424130145664 143921682731008 154362429804128 159341863023616 166236462865984 171598929410048 176414205490432 189984528989696 201616234846208 217125175988224 270134252157224 278848260291328 308724859608256 318683726047232 332472925731968 343197858820096 352828410980864 379969057979392 403232469692416 540268504314448 557696520582656 617449719216512 637367452094464 664945851463936 705656821961728 759938115958784 1080537008628896 1115393041165312 1234899438433024 1329891702927872 1411313643923456 1519876231917568 2161074017257792 2230786082330624 2469798876866048 2659783405855744 2822627287846912 4322148034515584 4461572164661248 4939597753732096 5319566811711488 8644296069031168 9879195507464192 10639133623422976 17288592138062336 19758391014928384 34577184276124672 69154368552249344 138308737104498688
- Sum of all divisors σ(n): 359391337513002606
- Sum of proper divisors (its aliquot sum) s(n): 221082600408503918
- 138308737104498688 is an abundant number, because the sum of its proper divisors (221082600408503918) is greater than itself. Its abundance is 82773863304005230
Bases of 138308737104498688
- Binary: 1111010110101111100010000010010000111001001010000000000002
- Hexadecimal: 0x1EB5F1048725000
- Base-36: 11TUCSO690CG
Squares and roots of 138308737104498688
- 138308737104498688 squared (1383087371044986882) is 19129306759441332121794087793721344
- 138308737104498688 cubed (1383087371044986883) is 2645750259582880930074021276516453999183223085596672
-
The
square root of 138308737104498688 is 371898826.4360331213 -
The
cube root of 138308737104498688 is 517150.0114087675
Scales and comparisons
How big is 138308737104498688?- 138,308,737,104,498,688 seconds is equal to 4,397,790,022 years, 47 weeks, 2 days, 2 hours, 31 minutes, 28 seconds.
-
To count from 1 to 138,308,737,104,498,688 would take you about thirteen billion, one hundred ninety-three million, three hundred seventy thousand and sixty-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 138308737104498688 cubic inches would be around 43095.8 feet tall.
Recreational maths with 138308737104498688
- 138308737104498688 backwards is 886894401737803831
- The number of decimal digits it has is: 18
- The sum of 138308737104498688's digits is 88
- More coming soon!
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"Number 138308737104498688 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 138308737104498688 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/138308737104498688/
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The information we have on file for 138308737104498688 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 138308737104498688, math, Factors of 138308737104498688, curriculum, school, college, exams, university, Prime factorization of 138308737104498688, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred eight trillion, seven hundred thirty-seven billion, one hundred four million, four hundred ninety-eight thousand, six hundred eighty-eight.