138461795991251040
138,461,795,991,251,040 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138461795991251040 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2592 divisors.
138461795991251040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138461795991251040:
25 × 3 × 5 × 72 × 11 × 172 × 47 × 62772
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 17 × 17 × 47 × 6277 × 6277)See below for interesting mathematical facts about the number 138461795991251040 from the Numbermatics database.
Names of 138461795991251040
- Cardinal: 138461795991251040 can be written as One hundred thirty-eight quadrillion, four hundred sixty-one trillion, seven hundred ninety-five billion, nine hundred ninety-one million, two hundred fifty-one thousand and forty.
Scientific notation
- Scientific notation: 1.3846179599125104 × 1017
Factors of 138461795991251040
Divisors of 138461795991251040
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 28 30 32 33 34 35 40 42 44 47 48 49 51 55 56 60 66 68 70 77 80 84 85 88 94 96 98 102 105 110 112 119 120 132 136 140 141 147 154 160 165 168 170 176 187 188 196 204 210 220 224 231 235 238 240 245 255 264 272 280 282 289 294 308 329 330 336 340 352 357 374 376 385 392 408 420 440 462 470 476 480 490 510 517 528 539 544 560 561 564 578 588 595 616 658 660 672 680 705 714 735 748 752 770 784 799 816 833 840 867 880 924 935 940 952 980 987 1020 1034 1056 1078 1120 1122 1128 1155 1156 1176 1190 1232 1309 1316 1320 1360 1410 1428 1445 1470 1496 1504 1540 1551 1568 1598 1617 1632 1645 1666 1680 1734 1760 1785 1848 1870 1880 1904 1960 1974 2023 2040 2068 2156 2244 2256 2303 2310 2312 2352 2380 2397 2464 2499 2585 2618 2632 2640 2695 2720 2805 2820 2856 2890 2940 2992 3080 3102 3179 3196 3234 3290 3332 3360 3468 3570 3619 3696 3740 3760 3808 3920 3927 3948 3995 4046 4080 4136 4165 4312 4335 4488 4512 4606 4620 4624 4704 4760 4794 4935 4998 5170 5236 5264 5280 5390 5593 5610 5640 5712 5780 5880 5984 6069 6160 6204 6277 6358 6392 6468 6545 6580 6664 6909 6936 7140 7238 7392 7480 7520 7755 7840 7854 7896 7990 8085 8092 8160 8272 8330 8624 8670 8789 8976 9163 9212 9240 9248 9520 9537 9588 9870 9996 10115 10340 10472 10528 10780 10857 11186 11220 11280 11424 11515 11560 11760 11985 12138 12320 12408 12495 12554 12716 12784 12936 13090 13160 13328 13583 13818 13872 14161 14280 14476 14960 15510 15708 15792 15895 15980 16170 16184 16544 16660 16779 17248 17340 17578 17952 18095 18326 18424 18480 18831 19040 19074 19176 19635 19740 19992 20230 20680 20944 21560 21714 22253 22372 22440 22560 23030 23120 23520 23970 24276 24816 24990 25108 25333 25432 25568 25872 26180 26320 26367 26656 27166 27489 27636 27744 27965 28322 28560 28952 29920 30345 31020 31385 31416 31584 31790 31960 32340 32368 33320 33558 34545 34680 35156 36190 36652 36848 36960 37662 38148 38352 39151 39270 39480 39984 40460 40749 41360 41888 42483 43120 43428 43939 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8252088681760 8311032172344 8369305850535 8555474295060 8562881632112 8664693115848 8711028373152 8767844224370 8814731091880 8927259573904 9255467646474 9564920972040 9696204201068 9777684908640 9981386677570 10020393399280 10193756606880 10388790215430 10521413069244 10577677310256 10703602040140 10830866394810 10888785466440 11029297115760 11081376229792 11159074467380 11238782142147 11407299060080 11552924154464 11773962244154 11977664013084 12024472079136 12120255251335 12274981914118 12340623528632 12378133022640 12753227962720 12844322448168 13151766336555 13222096637820 13390889360856 13688758872096 13851720287240 14028550758992 14441155193080 14518380621920 14544306301602 14972080016355 14985042856196 15030590098920 15110967586080 15425779410790 15753987483360 15970218684112 16055403060210 16622064344688 16738611701070 16968357351869 17110948590120 17125763264224 17329386231696 17535688448740 17629462183760 17660943366231 17854519147808 18412472871177 18510935292948 18731303570245 19129841944080 19392408402136 19962773355140 20040786798560 20777580430860 21042826138488 21155354620512 21407204080280 21661732789620 21777570932880 22058594231520 22318148934760 22477564284294 22814598120160 23138669116185 23547924488308 23955328026168 24240510502670 24549963828236 24681247057264 24756266045280 25688644896336 26223824998343 26303532673110 26444193275640 26781778721712 27703440574480 28057101517984 28882310386160 29088612603204 29434905610385 29944160032710 29970085712392 30061180197840 30687454785295 30851558821580 31940437368224 32110806120420 33244128689376 33477223402140 33936714703738 34221897180240 34658772463392 35071376897480 35258924367520 35321886732462 36360765754005 36824945742354 37021870585896 37462607140490 38259683888160 38784816804272 39925546710280 41208867854539 41555160861720 42085652276976 42814408160560 43323465579240 43555141865760 44636297869520 44955128568588 46277338232370 47095848976616 47910656052336 48481021005340 49099927656472 49362494114528 50905072055607 51377289792672 52447649996686 52607065346220 52888386551280 53563557443424 55406881148960 56193910710735 57764620772320 58177225206408 58869811220770 59888320065420 59940171424784 60122360395680 61374909570590 61703117643160 64221612240840 66954446804280 67873429407476 68443794360480 70142753794960 70643773464924 72721531508010 73649891484708 74043741171792 74925214280980 77569633608544 78671474995029 79851093420560 82417735709078 83110321723440 84171304553952 84841786759345 85628816321120 86646931158480 88304716831155 89272595739040 89910257137176 92062364355885 92554676464740 94191697953232 95821312104672 96962042010680 98199855312944 101810144111214 104895299993372 105214130692440 105776773102560 112387821421470 116354450412816 117739622441540 119776640130840 119880342849568 122749819141180 123406235286320 123626603563617 128443224481680 131119124991715 133908893608560 135746858814952 140285507589920 141287546929848 145443063016020 147299782969416 148087482343584 149850428561960 157342949990058 159702186841120 164835471418156 166220643446880 169683573518690 173293862316960 176609433662310 179820514274352 184124728711770 185109352929480 188383395906464 193924084021360 196399710625888 203620288222428 206044339272695 209790599986744 210428261384880 224775642842940 232708900825632 235479244883080 239553280261680 245499638282360 246812470572640 247253207127234 254525360278035 256886448963360 262238249983430 267817787217120 271493717629904 282575093859696 288462074981773 290886126032040 294599565938832 299700857123920 314685899980116 329670942836312 339367147037380 353218867324620 359641028548704 368249457423540 370218705858960 387848168042720 393357374975145 407240576444856 412088678545390 419581199973488 420856522769760 449551285685880 470958489766160 479106560523360 490999276564720 494506414254468 509050720556070 524476499966860 542987435259808 565150187719392 576924149963546 581772252064080 589199131877664 599401714247840 618133017818085 629371799960232 659341885672624 678734294074760 706437734649240 736498914847080 740437411717920 786714749950290 814481152889712 824177357090780 839162399946976 865386224945319 899102571371760 941916979532320 981998553129440 989012828508936 1018101441112140 1048952999933720 1153848299927092 1163544504128160 1236266035636170 1258743599920464 1318683771345248 1357468588149520 1412875469298480 1442310374908865 1472997829694160 1573429499900580 1628962305779424 1648354714181560 1730772449890638 1798205142743520 1978025657017872 2036202882224280 2097905999867440 2307696599854184 2472532071272340 2517487199840928 2714937176299040 2825750938596960 2884620749817730 2945995659388320 3146858999801160 3296709428363120 3461544899781276 3956051314035744 4072405764448560 4195811999734880 4326931124726595 4615393199708368 4945064142544680 5769241499635460 6293717999602320 6593418856726240 6923089799562552 8144811528897120 8653862249453190 9230786399416736 9890128285089360 11538482999270920 12587435999204640 13846179599125104 17307724498906380 19780256570178720 23076965998541840 27692359198250208 34615448997812760 46153931997083680 69230897995625520 138461795991251040
- Sum of all divisors σ(n): 600566297371439616
- Sum of proper divisors (its aliquot sum) s(n): 462104501380188576
- 138461795991251040 is an abundant number, because the sum of its proper divisors (462104501380188576) is greater than itself. Its abundance is 323642705388937536
Bases of 138461795991251040
- Binary: 1111010111110101001000101000101010000010101101000011000002
- Hexadecimal: 0x1EBEA4515056860
- Base-36: 11VCLYYBK4TC
Squares and roots of 138461795991251040
- 138461795991251040 squared (1384617959912510402) is 19171668949122822570612224301081600
- 138461795991251040 cubed (1384617959912510403) is 2654543714845246472947187786525219552632409124864000
-
The
square root of 138461795991251040 is 372104549.8126179055 -
The
cube root of 138461795991251040 is 517340.7085066157
Scales and comparisons
How big is 138461795991251040?- 138,461,795,991,251,040 seconds is equal to 4,402,656,822 years, 3 weeks, 3 days, 1 hour, 44 minutes.
-
To count from 1 to 138,461,795,991,251,040 would take you about thirteen billion, two hundred seven million, nine hundred seventy thousand, four hundred sixty-six 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 138461795991251040 cubic inches would be around 43111.7 feet tall.
Recreational maths with 138461795991251040
- 138461795991251040 backwards is 040152199597164831
- The number of decimal digits it has is: 18
- The sum of 138461795991251040's digits is 75
- More coming soon!
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"Number 138461795991251040 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138461795991251040 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138461795991251040/
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The information we have on file for 138461795991251040 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 138461795991251040, math, Factors of 138461795991251040, curriculum, school, college, exams, university, Prime factorization of 138461795991251040, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred sixty-one trillion, seven hundred ninety-five billion, nine hundred ninety-one million, two hundred fifty-one thousand and forty.