90972628576117344

Names of 90972628576117344

• Cardinal: 90972628576117344 can be written as Ninety quadrillion, nine hundred seventy-two trillion, six hundred twenty-eight billion, five hundred seventy-six million, one hundred seventeen thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 9.0972628576117344 × 10¹⁶

Factors of 90972628576117344

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 414116662

Divisors of 90972628576117344

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5189 5292 6048 7056 10378 10584 14112 15567 20756 21168 31134 36323 41512 42336 46701 62268 72646 83024 93402 108969 124536 140103 145292 166048 186804 217938 249072 254261 280206 290584 326907 373608 435876 498144 508522 560412 581168 653814 747216 762783 871752 980721 1017044 1120824 1162336 1307628 1494432 1525566 1743504 1961442 2034088 2241648 2288349 2615256 3051132 3487008 3922884 4068176 4483296 4576698 5230512 6102264 6865047 7845768 8136352 9153396 10461024 12204528 13730094 15691536 18306792 24409056 27460188 31383072 36613584 54920376 73227168 109840752 219681504 414111461 828222922 1242334383 1656445844 2484668766 2898780227 3312891688 3727003149 4969337532 5797560454 6625783376 7454006298 8696340681 9938675064 11181009447 11595120908 13251566752 14908012596 17392681362 19877350128 20291461589 22362018894 23190241816 26089022043 29816025192 34785362724 39754700256 40582923178 44724037788 46380483632 52178044086 59632050384 60874384767 69570725448 78267066129 81165846356 89448075576 92760967264 104356088172 119264100768 121748769534 139141450896 156534132258 162331692712 178896151152 182623154301 208712176344 243497539068 278282901792 313068264516 324663385424 357792302304 365246308602 417424352688 486995078136 547869462903 626136529032 649326770848 730492617204 834848705376 973990156272 1095738925806 1252273058064 1460985234408 1947980312544 2148824371129 2191477851612 2504546116128 2921970468816 4297648742258 4382955703224 5843940937632 6446473113387 8595297484516 8765911406448 12892946226774 15041770597903 17190594969032 17531822812896 19339419340161 25785892453548 30083541195806 34381189938064 38678838680322 45125311793709 51571784907096 58018258020483 60167082391612 68762379876128 77357677360644 90250623587418 103143569814192 105292394185321 116036516040966 120334164783224 135375935381127 154715354721288 180501247174836 206287139628384 210584788370642 232073032081932 240668329566448 270751870762254 309430709442576 315877182555963 361002494349672 406127806143381 421169576741284 464146064163864 481336659132896 541503741524508 618861418885152 631754365111926 722004988699344 812255612286762 842339153482568 928292128327728 947631547667889 1083007483049016 1263508730223852 1444009977398688 1624511224573524 1684678306965136 1856584256655456 1895263095335778 2166014966098032 2527017460447704 2842894643003667 3249022449147048 3369356613930272 3790526190671556 4332029932196064 5054034920895408 5685789286007334 6498044898294096 7581052381343112 10108069841790816 11371578572014668 12996089796588192 15162104762686224 22743157144029336 30324209525372448 45486314288058672 90972628576117344
• Sum of all divisors σ(n): 308716616384719200
• Sum of proper divisors (its aliquot sum) s(n): 217743987808601856
• 90972628576117344 is an abundant number, because the sum of its proper divisors (217743987808601856) is greater than itself. Its abundance is 126771359232484512

Bases of 90972628576117344

• Binary: 101000011001100110001111110101010100100000010001001100000₂
• Hexadecimal: 0x143331FAA902260
• Base-36: OVR3SMAK0O0

Squares and roots of 90972628576117344

• 90972628576117344 squared (90972628576117344²) is 8276019150048201972031258057614336
• 90972628576117344 cubed (90972628576117344³) is 752891216226169431689373635749562233526378232643584
• The square root of 90972628576117344 is 301616691.4746552021
• The cube root of 90972628576117344 is 449749.0429130077

Scales and comparisons

• 90,972,628,576,117,344 seconds is equal to 2,892,648,191 years, 47 weeks, 5 hours, 2 minutes, 24 seconds.
• To count from 1 to 90,972,628,576,117,344 would take you about eight billion, six hundred seventy-seven million, nine hundred forty-four thousand, five hundred seventy-five 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 90972628576117344 cubic inches would be around 37479.1 feet tall.

Recreational maths with 90972628576117344

• 90972628576117344 backwards is 44371167582627909
• The number of decimal digits it has is: 17
• The sum of 90972628576117344's digits is 81
• More coming soon!