135713169511014686400
135,713,169,511,014,686,400 is an even composite number composed of six prime numbers multiplied together.
135713169511014686400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 135713169511014686400:
26 × 32 × 52 × 1117 × 1907 × 4424412749
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 1117 × 1907 × 4424412749)See below for interesting mathematical facts about the number 135713169511014686400 from the Numbermatics database.
Names of 135713169511014686400
- Cardinal: 135713169511014686400 can be written as One hundred thirty-five quintillion, seven hundred thirteen quadrillion, one hundred sixty-nine trillion, five hundred eleven billion, fourteen million, six hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.357131695110146864 × 1020
Factors of 135713169511014686400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 4424415783
Divisors of 135713169511014686400
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1117 1200 1440 1600 1800 1907 2234 2400 2880 3351 3600 3814 4468 4800 5585 5721 6702 7200 7628 8936 9535 10053 11170 11442 13404 14400 15256 16755 17163 17872 19070 20106 22340 22884 26808 27925 28605 30512 33510 34326 35744 38140 40212 44680 45768 47675 50265 53616 55850 57210 61024 67020 68652 71488 76280 80424 83775 85815 89360 91536 95350 100530 107232 111700 114420 122048 134040 137304 143025 152560 160848 167550 171630 178720 183072 190700 201060 214464 223400 228840 251325 268080 274608 286050 305120 321696 335100 343260 357440 366144 381400 402120 429075 446800 457680 502650 536160 549216 572100 610240 643392 670200 686520 762800 804240 858150 893600 915360 1005300 1072320 1098432 1144200 1340400 1373040 1525600 1608480 1716300 1787200 1830720 2010600 2130119 2288400 2680800 2746080 3051200 3216960 3432600 4021200 4260238 4576800 5361600 5492160 6390357 6865200 8042400 8520476 9153600 10650595 12780714 13730400 16084800 17040952 19171071 21301190 25561428 27460800 31951785 34081904 38342142 42602380 51122856 53252975 63903570 68163808 76684284 85204760 95855355 102245712 106505950 127807140 136327616 153368568 159758925 170409520 191710710 204491424 213011900 255614280 306737136 319517850 340819040 383421420 408982848 426023800 479276775 511228560 613474272 639035700 681638080 766842840 852047600 958553550 1022457120 1226948544 1278071400 1533685680 1704095200 1917107100 2044914240 2556142800 3067371360 3408190400 3834214200 4424412749 5112285600 6134742720 7668428400 8848825498 10224571200 13273238247 15336856800 17697650996 22122063745 26546476494 30673713600 35395301992 39819714741 44244127490 53092952988 66366191235 70790603984 79639429482 88488254980 106185905976 110610318725 132732382470 141581207968 159278858964 176976509960 199098573705 212371811952 221220637450 265464764940 283162415936 318557717928 331830956175 353953019920 398197147410 424743623904 442441274900 530929529880 637115435856 663661912350 707906039840 796394294820 849487247808 884882549800 995492868525 1061859059760 1274230871712 1327323824700 1415812079680 1592788589640 1769765099600 1990985737050 2123718119520 2548461743424 2654647649400 3185577179280 3539530199200 3981971474100 4247436239040 4942069040633 5309295298800 6371154358560 7079060398400 7963942948200 8437355112343 9884138081266 10618590597600 12742308717120 14826207121899 15927885896400 16874710224686 19768276162532 21237181195200 24710345203165 25312065337029 29652414243798 31855771792800 33749420449372 39536552325064 42186775561715 44478621365697 49420690406330 50624130674058 59304828487596 63711543585600 67498840898744 74131035609495 75936196011087 79073104650128 84373551123430 88957242731394 98841380812660 101248261348116 118609656975192 123551726015825 126560326685145 134997681797488 148262071218990 151872392022174 158146209300256 168747102246860 177914485462788 197682761625320 202496522696232 210933877808575 222393106828485 237219313950384 247103452031650 253120653370290 269995363594976 296524142437980 303744784044348 316292418600512 337494204493720 355828970925576 370655178047475 379680980055435 395365523250640 404993045392464 421867755617150 444786213656970 474438627900768 494206904063300 506241306740580 539990727189952 593048284875960 607489568088696 632801633425725 674988408987440 711657941851152 741310356094950 759361960110870 790731046501280 809986090784928 843735511234300 889572427313940 948877255801536 988413808126600 1012482613481160 1111965534142425 1186096569751920 1214979136177392 1265603266851450 1349976817974880 1423315883702304 1482620712189900 1518723920221740 1581462093002560 1619972181569856 1687471022468600 1779144854627880 1898404900277175 1976827616253200 2024965226962320 2223931068284850 2372193139503840 2429958272354784 2531206533702900 2699953635949760 2846631767404608 2965241424379800 3037447840443480 3374942044937200 3558289709255760 3796809800554350 3953655232506400 4049930453924640 4447862136569700 4744386279007680 4859916544709568 5062413067405800 5930482848759600 6074895680886960 6749884089874400 7116579418511520 7593619601108700 7907310465012800 8099860907849280 8895724273139400 9424525660487131 10124826134811600 11860965697519200 12149791361773920 13499768179748800 14233158837023040 15187239202217400 17791448546278800 18849051320974262 20249652269623200 23721931395038400 24299582723547840 28273576981461393 30374478404434800 35582897092557600 37698102641948524 40499304539246400 47122628302435655 56547153962922786 60748956808869600 71165794185115200 75396205283897048 84820730944384179 94245256604871310 113094307925845572 121497913617739200 141367884907306965 150792410567794096 169641461888768358 188490513209742620 226188615851691144 235613141512178275 282735769814613930 301584821135588192 339282923777536716 376981026419485240 424103654721920895 452377231703382288 471226283024356550 565471539629227860 603169642271176384 678565847555073432 706839424536534825 753962052838970480 848207309443841790 904754463406764576 942452566048713100 1130943079258455720 1357131695110146864 1413678849073069650 1507924105677940960 1696414618887683580 1809508926813529152 1884905132097426200 2120518273609604475 2261886158516911440 2714263390220293728 2827357698146139300 3015848211355881920 3392829237775367160 3769810264194852400 4241036547219208950 4523772317033822880 5428526780440587456 5654715396292278600 6785658475550734320 7539620528389704800 8482073094438417900 9047544634067645760 11309430792584557200 13571316951101468640 15079241056779409600 16964146188876835800 22618861585169114400 27142633902202937280 33928292377753671600 45237723170338228800 67856584755507343200 135713169511014686400
- Sum of all divisors σ(n): 483041646692010666000
- Sum of proper divisors (its aliquot sum) s(n): 347328477180995979600
- 135713169511014686400 is an abundant number, because the sum of its proper divisors (347328477180995979600) is greater than itself. Its abundance is 211615307669981293200
Bases of 135713169511014686400
- Binary: 11101011011011001100000100010100001100011100110011101011110110000002
- Hexadecimal: 0x75B6608A18E675EC0
- Base-36: SN327J84Z7SG0
Squares and roots of 135713169511014686400
- 135713169511014686400 squared (1357131695110146864002) is 18418064378725406254906412916490344960000
- 135713169511014686400 cubed (1357131695110146864003) is 2499573893094742456255145404383036130294001258362220544000000
-
The
square root of 135713169511014686400 is 11649599542.9463019117 -
The
cube root of 135713169511014686400 is 5138945.3330125559
Scales and comparisons
How big is 135713169511014686400?- 135,713,169,511,014,686,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 135,713,169,511,014,686,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 135713169511014686400 cubic inches would be around 428245.4 feet tall.
Recreational maths with 135713169511014686400
- 135713169511014686400 backwards is 004686410115961317531
- 135713169511014686400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 135713169511014686400's digits is 72
- More coming soon!
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The information we have on file for 135713169511014686400 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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