13590513113365152
13,590,513,113,365,152 is an even composite number composed of six prime numbers multiplied together.
What does the number 13590513113365152 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
13590513113365152 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13590513113365152:
25 × 32 × 29 × 413 × 432 × 1132
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 29 × 41 × 41 × 41 × 43 × 43 × 113 × 113)See below for interesting mathematical facts about the number 13590513113365152 from the Numbermatics database.
Names of 13590513113365152
- Cardinal: 13590513113365152 can be written as Thirteen quadrillion, five hundred ninety trillion, five hundred thirteen billion, one hundred thirteen million, three hundred sixty-five thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.3590513113365152 × 1016
Factors of 13590513113365152
Divisors of 13590513113365152
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 29 32 36 41 43 48 58 72 82 86 87 96 113 116 123 129 144 164 172 174 226 232 246 258 261 288 328 339 344 348 369 387 452 464 492 516 522 656 678 688 696 738 774 904 928 984 1017 1032 1044 1189 1247 1312 1356 1376 1392 1476 1548 1681 1763 1808 1849 1968 2034 2064 2088 2378 2494 2712 2784 2952 3096 3277 3362 3526 3567 3616 3698 3741 3936 4068 4128 4176 4633 4756 4859 4988 5043 5289 5424 5547 5904 6192 6554 6724 7052 7134 7396 7482 8136 8352 9266 9512 9718 9831 9976 10086 10578 10701 10848 11094 11223 11808 12384 12769 13108 13448 13899 14104 14268 14577 14792 14964 15129 15867 16272 16641 18532 19024 19436 19662 19952 20172 21156 21402 22188 22446 25538 26216 26896 27798 28208 28536 29154 29493 29584 29928 30258 31734 32544 33282 37064 38048 38307 38872 39324 39904 40344 41697 42312 42804 43731 44376 44892 48749 51076 51127 52432 53621 53792 55596 56416 57072 58308 58986 59168 59856 60516 63468 66564 68921 72283 74128 75809 76614 77744 78648 80688 83394 84624 85608 87462 88752 89784 97498 102152 102254 104864 107242 111192 114144 114921 116616 117972 119712 121032 126936 133128 134357 137842 140911 144566 146247 148256 151618 153228 153381 155488 157296 160863 161376 166788 169248 171216 174924 177504 179568 189953 194996 199219 204304 204508 206763 208937 214484 216849 222384 227427 229842 233232 235944 242064 253872 266256 268714 275684 281822 289132 292494 303236 306456 306762 314592 321726 333576 342432 349848 359136 370301 379906 389992 398438 403071 408608 409016 413526 417874 422733 428968 433698 438741 444768 454854 459684 460143 466464 471888 482589 484128 507744 523529 532512 537428 549067 551368 563644 569859 578264 584988 597657 606472 612912 613524 620289 626811 643452 650547 667152 682281 699696 740602 759812 779984 796876 806142 818032 827052 835748 845466 857936 867396 877482 909708 919368 920286 943776 965178 1047058 1074856 1098134 1102736 1110903 1127288 1139718 1156528 1169976 1195314 1209213 1212944 1225824 1227048 1240578 1253622 1268199 1286904 1301094 1334304 1364562 1399392 1481204 1519624 1559968 1570587 1593752 1612284 1636064 1647201 1654104 1671496 1690932 1709577 1715872 1734792 1754964 1792971 1819416 1838736 1840572 1880433 1930356 1998709 2094116 2096207 2149712 2196268 2198461 2205472 2221806 2254576 2279436 2313056 2339952 2390628 2418426 2425888 2454096 2481156 2507244 2536398 2573808 2602188 2729124 2962408 2963603 3039248 3108169 3141174 3187504 3224568 3294402 3308208 3332709 3342992 3381864 3419154 3469584 3509928 3585942 3638832 3677472 3681144 3760866 3860712 3997418 4188232 4192414 4299424 4392536 4396922 4443612 4509152 4558872 4679904 4711761 4781256 4836852 4908192 4941603 4962312 5014488 5072796 5147616 5204376 5458248 5508637 5777351 5924816 5927206 5996127 6059173 6078496 6216338 6282348 6288621 6375008 6449136 6588804 6595383 6616416 6665418 6685984 6763728 6838308 6939168 7019856 7171884 7277664 7362288 7521732 7721424 7788073 7994836 8167979 8376464 8384828 8566417 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2857551117192 2933415306144 3254433216802 3292275463509 3340834098664 3452874266607 3632855683872 3675098191824 3758438360997 3810068156256 3854371274352 4042389385296 4147242329376 4389700618012 4603832355476 4881649825203 5011251147996 5449283525808 5715102234384 6508866433604 6584550927018 6681668197328 6905748533214 7350196383648 7516876721994 7708742548704 8084778770592 8779401236024 9207664710952 9763299650406 9876826390527 10022502295992 10358622799821 10898567051616 11430204468768 13017732867208 13169101854036 13363336394656 13811497066428 14644949475609 15033753443988 17558802472048 18415329421904 19526599300812 19753652781054 20045004591984 20717245599642 26035465734416 26338203708072 27622994132856 29289898951218 30067506887976 35117604944096 36830658843808 39053198601624 39507305562108 40090009183968 41434491199284 47189281643629 52070931468832 52676407416144 55245988265712 58579797902436 60135013775952 78106397203248 79014611124216 82868982398568 94378563287258 105352814832288 110491976531424 117159595804872 120270027551904 141567844930887 156212794406496 158029222248432 165737964797136 188757126574516 234319191609744 283135689861774 316058444496864 331475929594272 377514253149032 424703534792661 468638383219488 566271379723548 755028506298064 849407069585322 1132542759447096 1510057012596128 1698814139170644 2265085518894192 3397628278341288 4530171037788384 6795256556682576 13590513113365152
- Sum of all divisors σ(n): 42329979592238520
- Sum of proper divisors (its aliquot sum) s(n): 28739466478873368
- 13590513113365152 is an abundant number, because the sum of its proper divisors (28739466478873368) is greater than itself. Its abundance is 15148953365508216
Bases of 13590513113365152
- Binary: 1100000100100001111111111010100110111111111010101000002
- Hexadecimal: 0x30487FEA6FFAA0
- Base-36: 3PTFNJ71PK0
Squares and roots of 13590513113365152
- 13590513113365152 squared (135905131133651522) is 184702046684550156857609687983104
- 13590513113365152 cubed (135905131133651523) is 2510195587531761403030508197247083327229158391808
-
The
square root of 13590513113365152 is 116578356.1102366549 -
The
cube root of 13590513113365152 is 238641.1233194063
Scales and comparisons
How big is 13590513113365152?- 13,590,513,113,365,152 seconds is equal to 432,136,278 years, 40 weeks, 6 days, 18 hours, 19 minutes, 12 seconds.
-
To count from 1 to 13,590,513,113,365,152 would take you about one billion, two hundred ninety-six million, four hundred eight thousand, eight hundred thirty-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 13590513113365152 cubic inches would be around 19886.8 feet tall.
Recreational maths with 13590513113365152
- 13590513113365152 backwards is 25156331131509531
- The number of decimal digits it has is: 17
- The sum of 13590513113365152's digits is 54
- More coming soon!
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"Number 13590513113365152 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 13590513113365152 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/13590513113365152/
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The information we have on file for 13590513113365152 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 13590513113365152, math, Factors of 13590513113365152, curriculum, school, college, exams, university, Prime factorization of 13590513113365152, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, five hundred ninety trillion, five hundred thirteen billion, one hundred thirteen million, three hundred sixty-five thousand, one hundred fifty-two.