82993637657310720

Names of 82993637657310720

• Cardinal: 82993637657310720 can be written as Eighty-two quadrillion, nine hundred ninety-three trillion, six hundred thirty-seven billion, six hundred fifty-seven million, three hundred ten thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 8.299363765731072 × 10¹⁶

Factors of 82993637657310720

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 8924129

Divisors of 82993637657310720

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 3264 3840 4080 4352 5440 6528 7680 8160 8704 10880 13056 16320 21760 26112 32640 43520 65280 71809 130560 143618 215427 287236 359045 430854 574472 718090 861708 1077135 1148944 1220753 1436180 1723416 2154270 2297888 2441506 2872360 3446832 3662259 4308540 4595776 4883012 5744720 6103765 6893664 7324518 8617080 8852293 9191552 9766024 11489440 12207530 13787328 14649036 17234160 17704586 18311295 18383104 19532048 22978880 24415060 26556879 27574656 29298072 34468320 35409172 36622590 36766208 39064096 44261465 45957760 48830120 53113758 55149312 58596144 68936640 70818344 73245180 78128192 88522930 91915520 97660240 106227516 110298624 117192288 132784395 137873280 141636688 146490360 150488981 156256384 177045860 183831040 195320480 212455032 234384576 265568790 275746560 283273376 292980720 300977962 312512768 354091720 390640960 424910064 451466943 468769152 531137580 551493120 566546752 585961440 601955924 625025536 708183440 752444905 781281920 849820128 902933886 937538304 1062275160 1133093504 1171922880 1203911848 1416366880 1504889810 1562563840 1699640256 1805867772 1875076608 2124550320 2257334715 2266187008 2343845760 2407823696 2832733760 3009779620 3125127680 3399280512 3611735544 4249100640 4514669430 4532374016 4687691520 4815647392 5665467520 6019559240 6798561024 7223471088 8498201280 9029338860 9375383040 9631294784 11330935040 12039118480 13597122048 14446942176 16996402560 18058677720 19262589568 22661870080 24078236960 28893884352 33992805120 36117355440 38525179136 48156473920 57787768704 67985610240 72234710880 77050358272 96312947840 115575537408 144469421760 192625895680 231151074816 288938843520 385251791360 577877687040 635674308037 1155755374080 1271348616074 1907022924111 2542697232148 3178371540185 3814045848222 5085394464296 6356743080370 7628091696444 9535114620555 10170788928592 10806463236629 12713486160740 15256183392888 19070229241110 20341577857184 21612926473258 25426972321480 30512366785776 32419389709887 38140458482220 40683155714368 43225852946516 50853944642960 54032316183145 61024733571552 64838779419774 76280916964440 81366311428736 86451705893032 101707889285920 108064632366290 122049467143104 129677558839548 152561833928880 162096948549435 162732622857472 172903411786064 203415778571840 216129264732580 244098934286208 259355117679096 305123667857760 324193897098870 325465245714944 345806823572128 406831557143680 432258529465160 488197868572416 518710235358192 610247335715520 648387794197740 691613647144256 813663114287360 864517058930320 976395737144832 1037420470716384 1220494671431040 1296775588395480 1383227294288512 1627326228574720 1729034117860640 2074840941432768 2440989342862080 2593551176790960 2766454588577024 3458068235721280 4149681882865536 4881978685724160 5187102353581920 5532909177154048 6916136471442560 8299363765731072 10374204707163840 13832272942885120 16598727531462144 20748409414327680 27664545885770240 41496818828655360 82993637657310720
• Sum of all divisors σ(n): 280931304879023040
• Sum of proper divisors (its aliquot sum) s(n): 197937667221712320
• 82993637657310720 is an abundant number, because the sum of its proper divisors (197937667221712320) is greater than itself. Its abundance is 114944029564401600

Bases of 82993637657310720

• Binary: 100100110110110100100011000010011001011100111011000000000₂
• Hexadecimal: 0x126DA46132E7600
• Base-36: MP6SESKXT6O

Squares and roots of 82993637657310720

• 82993637657310720 squared (82993637657310720²) is 6887943891592984015834662626918400
• 82993637657310720 cubed (82993637657310720³) is 571655519542754825859570512472705610477624885248000
• The square root of 82993637657310720 is 288086163.5992098805
• The cube root of 82993637657310720 is 436195.9210821867

Scales and comparisons

• 82,993,637,657,310,720 seconds is equal to 2,638,940,961 years, 16 weeks, 6 days, 13 hours, 52 minutes.
• To count from 1 to 82,993,637,657,310,720 would take you about seven billion, nine hundred sixteen million, eight hundred twenty-two thousand, eight hundred eighty-three 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 82993637657310720 cubic inches would be around 36349.7 feet tall.

Recreational maths with 82993637657310720

• 82993637657310720 backwards is 02701375673639928
• The number of decimal digits it has is: 17
• The sum of 82993637657310720's digits is 78
• More coming soon!