138731705551872
138,731,705,551,872 is an even composite number composed of seven prime numbers multiplied together.
138731705551872 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 138731705551872:
210 × 33 × 23 × 37 × 89 × 97 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 23 × 37 × 89 × 97 × 683)See below for interesting mathematical facts about the number 138731705551872 from the Numbermatics database.
Names of 138731705551872
- Cardinal: 138731705551872 can be written as One hundred thirty-eight trillion, seven hundred thirty-one billion, seven hundred five million, five hundred fifty-one thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 1.38731705551872 × 1014
Factors of 138731705551872
Divisors of 138731705551872
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 37 46 48 54 64 69 72 74 89 92 96 97 108 111 128 138 144 148 178 184 192 194 207 216 222 256 267 276 288 291 296 333 356 368 384 388 414 432 444 512 534 552 576 582 592 621 666 683 712 736 768 776 801 828 851 864 873 888 999 1024 1068 1104 1152 1164 1184 1242 1332 1366 1424 1472 1536 1552 1602 1656 1702 1728 1746 1776 1998 2047 2049 2136 2208 2231 2304 2328 2368 2403 2484 2553 2619 2664 2732 2848 2944 3072 3104 3204 3293 3312 3404 3456 3492 3552 3589 3996 4094 4098 4272 4416 4462 4608 4656 4736 4806 4968 5106 5238 5328 5464 5696 5888 6141 6147 6208 6408 6586 6624 6693 6808 6912 6984 7104 7178 7659 7992 8188 8196 8544 8633 8832 8924 9216 9312 9472 9612 9879 9936 10212 10476 10656 10767 10928 11392 11776 12282 12294 12416 12816 13172 13248 13386 13616 13824 13968 14208 14356 15318 15709 15984 16376 16392 17088 17266 17664 17848 18423 18441 18624 18944 19224 19758 19872 20079 20424 20952 21312 21534 21856 22784 22977 23552 24564 24588 24832 25271 25632 25899 26344 26496 26772 27232 27648 27936 28416 28712 29637 30636 31418 31968 32301 32752 32784 34176 34532 35328 35696 36846 36882 37248 37888 38448 39516 39744 40158 40848 41904 42624 43068 43712 45568 45954 47127 49128 49176 49664 50542 51264 51798 52688 52992 53544 54464 55269 55872 56832 57424 59274 60237 60787 61272 62836 63936 64602 65504 65568 66251 68352 69064 70656 71392 73692 73764 74496 75739 75813 76896 77697 79032 79488 80316 81696 82547 83808 85248 86136 87424 88911 91136 91908 94254 96903 98256 98352 99328 101084 102528 103596 105376 105984 107088 108928 110538 111744 113664 114848 118548 120474 121574 122544 125672 127872 129204 131008 131136 132502 136704 138128 141381 142784 147384 147528 148992 151478 151626 153792 155394 158064 158976 160632 163392 165094 167616 170496 172272 174848 177822 182361 183816 188508 193806 196512 196704 198559 198753 202168 205056 207192 210752 211968 214176 217856 221076 223488 227217 227439 229696 233091 237096 240948 243148 245088 247641 251344 255744 258408 262016 262272 265004 273408 276256 282762 285568 294768 295056 297984 302956 303252 307584 310788 316128 317952 319421 321264 326784 330188 335232 340992 344544 349696 355644 364722 367632 377016 387612 393024 393408 397118 397506 404336 410112 414384 421504 424143 428352 435712 442152 446976 454434 454878 459392 466182 474192 481896 486296 490176 495282 502688 511488 516816 524032 524544 530008 547083 552512 565524 571136 581233 589536 590112 595677 596259 605912 606504 615168 621576 632256 635904 638842 642528 653568 660376 670464 681651 682317 689088 699392 711288 729444 735264 742923 754032 775224 786048 786816 794236 795012 808672 820224 828768 843008 848286 856704 871424 884304 893952 908868 909756 918784 932364 948384 958263 963792 972592 980352 990564 1005376 1022976 1033632 1048064 1049088 1060016 1094166 1105024 1131048 1142272 1162466 1179072 1180224 1191354 1192518 1211824 1213008 1230336 1243152 1264512 1277684 1285056 1307136 1320752 1340928 1363302 1364634 1378176 1398101 1422576 1458888 1470528 1485846 1508064 1523773 1550448 1572096 1573632 1588472 1590024 1617344 1641249 1657536 1686016 1696572 1713408 1743699 1768608 1787031 1788777 1817736 1819512 1837568 1864728 1896768 1916526 1927584 1945184 1960704 1981128 2010752 2044953 2067264 2096128 2098176 2120032 2188332 2210048 2228769 2249119 2262096 2284544 2324932 2358144 2360448 2382708 2385036 2423648 2426016 2451287 2460672 2486304 2529024 2555368 2570112 2614272 2641504 2681856 2726604 2729268 2756352 2796202 2845152 2874789 2917776 2941056 2971692 3016128 3047546 3100896 3144192 3147264 3176944 3180048 3234688 3282498 3315072 3372032 3393144 3426816 3487398 3537216 3574062 3577554 3635472 3639024 3675136 3729456 3793536 3833052 3855168 3890368 3921408 3962256 4021504 4089906 4134528 4194303 4240064 4376664 4420096 4457538 4498238 4524192 4571319 4649864 4716288 4720896 4765416 4770072 4847296 4852032 4902574 4972608 5058048 5110736 5140224 5231097 5283008 5361093 5453208 5458536 5512704 5592404 5690304 5749578 5835552 5882112 5896339 5943384 6032256 6095092 6201792 6288384 6294528 6353888 6360096 6469376 6564996 6630144 6747357 6786288 6853632 6974796 7074432 7148124 7155108 7270944 7278048 7346683 7353861 7458912 7587072 7666104 7710336 7780736 7842816 7924512 8043008 8179812 8269056 8388606 8480128 8624367 8753328 8840192 8915076 8996476 9048384 9142638 9299728 9432576 9441792 9530832 9540144 9694592 9704064 9805148 9945216 10116096 10221472 10280448 10462194 10566016 10722186 10906416 10917072 11025408 11184808 11380608 11499156 11671104 11764224 11792678 11886768 12064512 12190184 12403584 12582909 12707776 12720192 12938752 13129992 13260288 13494714 13572576 13713957 13949592 14148864 14296248 14310216 14541888 14556096 14693366 14707722 14917824 15174144 15332208 15420672 15561472 15693291 15849024 16086016 16359624 16538112 16777212 16960256 17248734 17506656 17689017 17830152 17992952 18096768 18285276 18599456 18865152 18883584 19061664 19080288 19389184 19408128 19610296 19890432 20242071 20442944 20560896 20924388 21132032 21444372 21812832 21834144 22040049 22061583 22369616 22761216 22998312 23342208 23528448 23585356 23773536 24129024 24380368 24807168 25165818 25415552 25440384 25877504 26259984 26520576 26989428 27145152 27427914 27899184 28297728 28592496 28620432 29083776 29112192 29386732 29415444 29835648 30348288 30664416 30841344 31122944 31386582 31698048 32719248 33076224 33554424 33920512 34497468 35013312 35378034 35660304 35985904 36193536 36570552 37198912 37748727 38123328 38160576 38778368 38816256 39220592 39780864 40484142 40885888 41141871 41848776 42264064 42888744 43625664 43668288 44080098 44123166 44739232 45522432 45996624 46684416 47170712 47547072 48258048 48760736 49614336 50331636 50831104 50880768 51729737 52519968 53067051 53978856 54290304 54855828 55798368 56379601 56595456 57184992 57240864 58167552 58224384 58773464 58830888 59671296 60726213 61328832 61682688 62245888 62773164 63396096 65438496 66120147 66184749 67108848 67841024 68994936 70026624 70756068 71320608 71971808 72387072 73141104 74397824 75497454 76246656 76321152 77556736 77632512 78441184 79561728 80968284 81771776 82283742 83697552 84528128 85777488 87251328 87336576 88160196 88246332 89478464 91044864 91993248 93368832 94341424 95094144 97521472 99228672 100663272 101662208 101761536 103459474 105039936 106134102 107957712 108580608 109711656 111596736 112759202 114369984 114481728 116335104 116448768 117546928 117661776 119342592 121452426 122657664 125546328 126792192 130876992 132240294 132369498 134217696 135615797 137989872 140053248 141512136 142641216 143943616 144774144 146282208 148795648 150994908 152493312 152642304 155189211 156882368 159201153 161936568 163543552 164567484 167395104 169138803 171554976 174502656 174673152 176320392 176492664 178956928 183986496 186737664 188682848 190188288 195042944 198360441 201326544 203324416 203523072 206918948 210079872 212268204 215915424 217161216 218164543 219423312 223193472 225518404 228739968 228963456 232670208 232897536 235093856 235323552 238685184 242904852 245315328 251092656 253584384 261753984 264480588 264738996 268435392 271231594 275979744 280106496 283024272 285282432 287887232 292564416 297591296 301989816 304986624 305284608 310378422 313764736 318402306 323873136 327087104 329134968 334790208 338277606 343109952 349005312 349346304 352640784 352985328 357913856 367972992 377365696 380376576 390085888 396720882 402653088 406847391 413837896 420159744 424536408 431830848 434322432 436329086 438846624 446386944 451036808 457479936 457926912 465567633 470187712 470647104 485809704 490630656 502185312 507416409 523507968 528961176 529477992 536870784 542463188 551959488 560212992 566048544 570564864 575774464 585128832 595182592 603979632 609973248 610569216 620756844 627529472 636804612 647746272 654493629 658269936 669580416 676555212 686219904 698010624 698692608 705281568 705970656 715827712 735945984 754731392 760753152 780171776 793441764 805306176 813694782 827675792 840319488 849072816 863661696 872658172 877693248 892773888 902073616 914959872 915853824 931135266 940375424 941294208 971619408 981261312 1004370624 1014832818 1047015936 1057922352 1058955984 1073741568 1084926376 1103918976 1132097088 1141129728 1151548928 1170257664 1207959264 1220542173 1241513688 1255058944 1273609224 1295492544 1308987258 1316539872 1339160832 1353110424 1372439808 1396702899 1410563136 1411941312 1431655424 1471891968 1509462784 1522249227 1560343552 1586883528 1610612352 1627389564 1655351584 1680638976 1698145632 1727323392 1745316344 1755386496 1785547776 1804147232 1829919744 1831707648 1862270532 1880750848 1882588416 1943238816 1963480887 2008741248 2029665636 2094031872 2115844704 2117911968 2147483136 2169852752 2207837952 2264194176 2282259456 2303097856 2340515328 2415918528 2441084346 2483027376 2510117888 2547218448 2590985088 2617974516 2633079744 2678321664 2706220848 2744879616 2793405798 2821126272 2823882624 2943783936 3018925568 3044498454 3173767056 3221224704 3254779128 3310703168 3396291264 3454646784 3490632688 3510772992 3608294464 3661626519 3724541064 3761501696 3765176832 3886477632 3926961774 4017482496 4059331272 4231689408 4235823936 4294966272 4339705504 4415675904 4528388352 4681030656 4831837056 4882168692 4966054752 5017784489 5094436896 5181970176 5235949032 5266159488 5356643328 5412441696 5489759232 5586811596 5642252544 5647765248 5890442661 6037851136 6088996908 6347534112 6442449408 6509558256 6621406336 6792582528 6909293568 6981265376 7021545984 7216588928 7323253038 7449082128 7523003392 7530353664 7772955264 7853923548 8034964992 8118662544 8463378816 8471647872 8679411008 8831351808 9056776704 9663674112 9764337384 9932109504 10035568978 10188873792 10363940352 10471898064 10532318976 10824883392 11173623192 11284505088 11295530496 11780885322 12177993816 12695068224 12884898816 13019116512 13242812672 13585165056 13962530752 14043091968 14433177856 14646506076 14898164256 15053353467 15545910528 15707847096 16069929984 16237325088 16926757632 16943295744 17358822016 18113553408 19327348224 19528674768 19864219008 20071137956 20377747584 20727880704 20943796128 21064637952 21649766784 22347246384 22569010176 22591060992 23561770644 24355987632 25390136448 26038233024 26485625344 27170330112 27925061504 28866355712 29293012152 29796328512 30106706934 31091821056 31415694192 32474650176 33853515264 33886591488 34717644032 38654696448 39057349536 39728438016 40142275912 40755495168 41887592256 42129275904 43299533568 44694492768 45160060401 47123541288 48711975264 50780272896 52076466048 52971250688 54340660224 55850123008 57732711424 58586024304 59592657024 60213413868 62183642112 62831388384 64949300352 67707030528 67773182976 69435288064 78114699072 79456876032 80284551824 81510990336 83775184512 86599067136 89388985536 90320120802 94247082576 97423950528 101560545792 104152932096 111700246016 117172048608 119185314048 120426827736 125662776768 129898600704 135480181203 138870576128 156229398144 158913752064 160569103648 163021980672 167550369024 173198134272 178777971072 180640241604 188494165152 194847901056 203121091584 208305864192 223400492032 234344097216 238370628096 240853655472 251325553536 259797201408 270960362406 312458796288 321138207296 335100738048 357555942144 361280483208 376988330304 389695802112 416611728384 468688194432 476741256192 481707310944 502651107072 519594402816 541920724812 624917592576 642276414592 670201476096 715111884288 722560966416 753976660608 779391604224 937376388864 963414621888 1005302214144 1083841449624 1249835185152 1284552829184 1430223768576 1445121932832 1507953321216 1558783208448 1874752777728 1926829243776 2010604428288 2167682899248 2569105658368 2890243865664 3015906642432 3749505555456 3853658487552 4335365798496 5138211316736 5780487731328 6031813284864 7707316975104 8670731596992 11560975462656 15414633950208 17341463193984 23121950925312 34682926387968 46243901850624 69365852775936 138731705551872
- Sum of all divisors σ(n): 450502659532800
- Sum of proper divisors (its aliquot sum) s(n): 311770953980928
- 138731705551872 is an abundant number, because the sum of its proper divisors (311770953980928) is greater than itself. Its abundance is 173039248429056
Bases of 138731705551872
- Binary: 111111000101100111111100000011101001100000000002
- Hexadecimal: 0x7E2CFE074C00
- Base-36: 1D6CGRJEO0
Squares and roots of 138731705551872
- 138731705551872 squared (1387317055518722) is 19246486125331312308082704384
- 138731705551872 cubed (1387317055518723) is 2670097846047653437346640846289512953806848
-
The
square root of 138731705551872 is 11778442.4077155463 -
The
cube root of 138731705551872 is 51767.6648511211
Scales and comparisons
How big is 138731705551872?- 138,731,705,551,872 seconds is equal to 4,411,239 years, 5 weeks, 5 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,731,705,551,872 would take you about eleven million, twenty-eight thousand and ninety-seven 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 138731705551872 cubic inches would be around 4314 feet tall.
Recreational maths with 138731705551872
- 138731705551872 backwards is 278155507137831
- The number of decimal digits it has is: 15
- The sum of 138731705551872's digits is 63
- More coming soon!
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"Number 138731705551872 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138731705551872 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138731705551872/
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The information we have on file for 138731705551872 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 138731705551872, math, Factors of 138731705551872, curriculum, school, college, exams, university, Prime factorization of 138731705551872, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred thirty-one billion, seven hundred five million, five hundred fifty-one thousand, eight hundred seventy-two.