135408978096327000
135,408,978,096,327,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 135408978096327000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2304 divisors.
135408978096327000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 135408978096327000:
23 × 38 × 53 × 133 × 2113
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 211 × 211 × 211)See below for interesting mathematical facts about the number 135408978096327000 from the Numbermatics database.
Names of 135408978096327000
- Cardinal: 135408978096327000 can be written as One hundred thirty-five quadrillion, four hundred eight trillion, nine hundred seventy-eight billion, ninety-six million, three hundred twenty-seven thousand.
Scientific notation
- Scientific notation: 1.35408978096327 × 1017
Factors of 135408978096327000
Divisors of 135408978096327000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 30 36 39 40 45 50 52 54 60 65 72 75 78 81 90 100 104 108 117 120 125 130 135 150 156 162 169 180 195 200 211 216 225 234 243 250 260 270 300 312 324 325 338 351 360 375 390 405 422 450 468 486 500 507 520 540 585 600 633 648 650 675 676 702 729 750 780 810 844 845 900 936 972 975 1000 1014 1053 1055 1080 1125 1170 1215 1266 1300 1350 1352 1404 1458 1500 1521 1560 1620 1625 1688 1690 1755 1800 1899 1944 1950 2025 2028 2106 2110 2187 2197 2250 2340 2430 2532 2535 2600 2700 2743 2808 2916 2925 3000 3042 3159 3165 3240 3250 3375 3380 3510 3645 3798 3900 4050 4056 4212 4220 4225 4374 4394 4500 4563 4680 4860 4875 5064 5070 5265 5275 5400 5486 5697 5832 5850 6075 6084 6318 6330 6500 6561 6591 6750 6760 7020 7290 7596 7605 7800 8100 8229 8424 8440 8450 8748 8775 8788 9000 9126 9477 9495 9720 9750 10125 10140 10530 10550 10935 10972 10985 11394 11700 12150 12168 12636 12660 12675 13000 13122 13182 13500 13689 13715 14040 14580 14625 15192 15210 15795 15825 16200 16458 16900 17091 17496 17550 17576 18225 18252 18954 18990 19500 19773 20250 20280 21060 21100 21125 21870 21944 21970 22788 22815 23400 24300 24687 25272 25320 25350 26244 26325 26364 26375 27000 27378 27430 28431 28485 29160 29250 30375 30420 31590 31650 32805 32916 32955 33800 34182 35100 35659 36450 36504 37908 37980 38025 39000 39546 40500 41067 41145 42120 42200 42250 43740 43875 43940 44521 45576 45630 47385 47475 48600 49374 50700 51273 52488 52650 52728 52750 54675 54756 54860 54925 56862 56970 58500 59319 60750 60840 63180 63300 63375 65610 65832 65910 68364 68445 68575 70200 71318 72900 74061 75816 75960 76050 78975 79092 79125 81000 82134 82290 84500 85293 85455 87480 87750 87880 89042 91125 91260 94770 94950 98748 98865 101400 102546 105300 105500 106977 109350 109512 109720 109850 113724 113940 114075 117000 118638 121500 123201 123435 126360 126600 126750 131220 131625 131820 133563 136728 136890 137150 142155 142425 142636 145800 148122 152100 153819 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3709428503625 3714923953260 3797329653000 3857805643770 3961411798500 4006182783915 4108905419400 4113773790750 4127693281400 4278324742380 4286450715300 4451314204350 4457908743912 4629366772524 4643654941575 4753694158200 4762723017000 4936528548900 4945904671500 5015147336901 5133989690856 5136131774250 5143740858360 5159616601750 5341577045220 5347905927975 5358063394125 5485031721000 5572385929890 5786708465655 5935085605800 5942117697750 6163358129100 6170660686125 6191539922100 6409892454264 6417487113570 6429676072950 6676971306525 6686863115868 6848175699000 6944050158786 7130541237300 7144084525500 7418857007250 7429847906520 7704197661375 7715611287540 7739424902625 7922823597000 8012365567830 8227547581500 8358578894835 8556649484760 8572901430600 8902628408700 8913176546625 9258733545048 9287309883150 9644514109425 9873057097800 9891809343000 10030294673802 10272263548500 10319233203500 10416075238179 10683154090440 10695811855950 10716126788250 11128285510875 11144771859780 11573416931310 11884235395500 12326716258200 12341321372250 12383079844200 12834974227140 12859352145900 13353942613050 13373726231736 13888100317572 13930964824725 14261082474600 14288169051000 14837714014500 15045442010703 15408395322750 15431222575080 15478849805250 16024731135660 16043717783925 16074190182375 16455095163000 16717157789670 17360125396965 17805256817400 17826353093250 18574619766300 19289028218850 20030913919575 20060589347604 20544527097000 20638466407000 20832150476358 21391623711900 21432253576500 22256571021750 22289543719560 23146833862620 23218274707875 23768470791000 24682642744500 25075736684505 25669948454280 25718704291800 26707885226100 26739529639875 27776200635144 27861929649450 28933542328275 29675428029000 30090884021406 30816790645500 30957699610500 32049462271320 32087435567850 32148380364750 33384856532625 33434315579340 34720250793930 35652706186500 37149239532600 38578056437700 40061827839150 40121178695208 41664300952716 41792894474175 42783247423800 42864507153000 44513142043500 45136326032109 46293667725240 46436549415750 48222570547125 49365285489000 50151473369010 52080376190895 53415770452200 53479059279750 55723859298900 57867084656550 60181768042812 61633581291000 61915399221000 64174871135700 64296760729500 66769713065250 66868631158680 69440501587860 69654824123625 71305412373000 75227210053515 77156112875400 80123655678300 80218588919625 83328601905432 83585788948350 86800626984825 89026284087000 90272652064218 92873098831500 96445141094250 100154569597875 100302946738020 104160752381790 106958118559500 111447718597800 115734169313100 120363536085624 125378683422525 128349742271400 128593521459000 133539426130500 135408978096327 138881003175720 139309648247250 144667711641375 150454420107030 160247311356600 160437177839250 167171577896700 173601253969650 180545304128436 185746197663000 192890282188500 200309139195750 200605893476040 208321504763580 208964472370875 213916237119000 225681630160545 231468338626200 250757366845050 260401880954475 267078852261000 270817956192654 278619296494500 289335423282750 300908840214060 320874355678500 334343155793400 347202507939300 361090608256872 376136050267575 385780564377000 400618278391500 416643009527160 417928944741750 434003134924125 451363260321090 501514733690100 520803761908950 541635912385308 557238592989000 578670846565500 601817680428120 626893417112625 641748711357000 677044890481635 694405015878600 752272100535150 801236556783000 835857889483500 868006269848250 902726520642180 1003029467380200 1041607523817900 1083271824770616 1128408150802725 1157341693131000 1253786834225250 1302009404772375 1354089780963270 1504544201070300 1671715778967000 1736012539696500 1805453041284360 1880680251337875 2083215047635800 2256816301605450 2507573668450500 2604018809544750 2708179561926540 3009088402140600 3385224452408175 3472025079393000 3761360502675750 4513632603210900 5015147336901000 5208037619089500 5416359123853080 5642040754013625 6770448904816350 7522721005351500 9027265206421800 10416075238179000 11284081508027250 13540897809632700 15045442010703000 16926122262040875 22568163016054500 27081795619265400 33852244524081750 45136326032109000 67704489048163500 135408978096327000
- Sum of all divisors σ(n): 517300112087740800
- Sum of proper divisors (its aliquot sum) s(n): 381891133991413800
- 135408978096327000 is an abundant number, because the sum of its proper divisors (381891133991413800) is greater than itself. Its abundance is 246482155895086800
Bases of 135408978096327000
- Binary: 1111000010001000110111111100001101101010010001001010110002
- Hexadecimal: 0x1E111BF86D48958
- Base-36: 111AH5RUCDI0
Squares and roots of 135408978096327000
- 135408978096327000 squared (1354089780963270002) is 18335591349091565256890890929000000
- 135408978096327000 cubed (1354089780963270003) is 2482803687372342587739846204705889412517783000000000
-
The
square root of 135408978096327000 is 367979589.2387606327 -
The
cube root of 135408978096327000 is 513510.2933968237
Scales and comparisons
How big is 135408978096327000?- 135,408,978,096,327,000 seconds is equal to 4,305,586,655 years, 51 weeks, 4 days, 13 hours, 30 minutes.
-
To count from 1 to 135,408,978,096,327,000 would take you about twelve billion, nine hundred sixteen million, seven hundred fifty-nine thousand, nine hundred sixty-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 135408978096327000 cubic inches would be around 42792.5 feet tall.
Recreational maths with 135408978096327000
- 135408978096327000 backwards is 000723690879804531
- 135408978096327000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135408978096327000's digits is 72
- More coming soon!
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"Number 135408978096327000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 135408978096327000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/135408978096327000/
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The information we have on file for 135408978096327000 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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