90240021761097728

Names of 90240021761097728

• Cardinal: 90240021761097728 can be written as Ninety quadrillion, two hundred forty trillion, twenty-one billion, seven hundred sixty-one million, ninety-seven thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 9.0240021761097728 × 10¹⁶

Factors of 90240021761097728

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 226

Divisors of 90240021761097728

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 8 13 16 26 32 52 64 104 128 169 208 211 256 338 416 422 512 676 832 844 1024 1352 1664 1688 2048 2197 2704 2743 3328 3376 4096 4394 5408 5486 6656 6752 8192 8788 10816 10972 13312 13504 16384 17576 21632 21944 26624 27008 28561 32768 35152 35659 43264 43888 53248 54016 57122 65536 70304 71318 86528 87776 106496 108032 114244 131072 140608 142636 173056 175552 212992 216064 228488 262144 281216 285272 346112 351104 371293 425984 432128 456976 463567 524288 562432 570544 692224 702208 742586 851968 864256 913952 927134 1124864 1141088 1384448 1404416 1485172 1703936 1728512 1827904 1854268 2249728 2282176 2768896 2808832 2970344 3407872 3457024 3655808 3708536 4499456 4564352 4826809 5537792 5617664 5940688 6026371 6815744 6914048 7311616 7417072 8998912 9128704 9653618 11075584 11235328 11881376 12052742 13828096 14623232 14834144 17997824 18257408 19307236 22151168 22470656 23762752 24105484 27656192 29246464 29668288 35995648 36514816 38614472 44302336 44941312 47525504 48210968 55312384 58492928 59336576 62748517 71991296 73029632 77228944 78342823 88604672 89882624 95051008 96421936 110624768 116985856 118673152 125497034 143982592 146059264 154457888 156685646 179765248 190102016 192843872 233971712 237346304 250994068 287965184 292118528 308915776 313371292 359530496 380204032 385687744 467943424 474692608 501988136 575930368 584237056 617831552 626742584 719060992 760408064 771375488 815730721 935886848 949385216 1003976272 1018456699 1151860736 1168474112 1235663104 1253485168 1438121984 1520816128 1542750976 1631461442 1871773696 1898770432 2007952544 2036913398 2336948224 2471326208 2506970336 3041632256 3085501952 3262922884 3743547392 3797540864 4015905088 4073826796 4673896448 4942652416 5013940672 6083264512 6171003904 6525845768 7487094784 7595081728 8031810176 8147653592 9347792896 9885304832 10027881344 12166529024 12342007808 13051691536 13239937087 14974189568 15190163456 16063620352 16295307184 18695585792 19770609664 20055762688 24333058048 24684015616 26103383072 26479874174 30380326912 32127240704 32590614368 39541219328 40111525376 48666116096 49368031232 52206766144 52959748348 60760653824 64254481408 65181228736 79082438656 80223050752 97332232192 98736062464 104413532288 105919496696 121521307648 128508962816 130362457472 158164877312 160446101504 172119182131 194664464384 197472124928 208827064576 211838993392 243042615296 257017925632 260724914944 316329754624 320892203008 344238364262 394944249856 417654129152 423677986784 514035851264 521449829888 632659509248 641784406016 688476728524 789888499712 835308258304 847355973568 1028071702528 1042899659776 1265319018496 1283568812032 1376953457048 1579776999424 1670616516608 1694711947136 2056143405056 2085799319552 2530638036992 2567137624064 2753906914096 3159553998848 3341233033216 3389423894272 4112286810112 4171598639104 5134275248128 5507813828192 6682466066432 6778847788544 8224573620224 8343197278208 10268550496256 11015627656384 13364932132864 13557695577088 16449147240448 16686394556416 20537100992512 22031255312768 26729864265728 27115391154176 32898294480896 33372789112832 41074201985024 44062510625536 53459728531456 54230782308352 66745578225664 88125021251072 106919457062912 108461564616704 133491156451328 176250042502144 213838914125824 216923129233408 266982312902656 352500085004288 427677828251648 433846258466816 533964625805312 705000170008576 867692516933632 1410000340017152 1735385033867264 2820000680034304 3470770067734528 5640001360068608 6941540135469056 11280002720137216 22560005440274432 45120010880548864 90240021761097728
• Sum of all divisors σ(n): 196446495078909900
• Sum of proper divisors (its aliquot sum) s(n): 106206473317812172
• 90240021761097728 is an abundant number, because the sum of its proper divisors (106206473317812172) is greater than itself. Its abundance is 15966451556714444

Bases of 90240021761097728

• Binary: 101000000100110001101001001011001100110000000000000000000₂
• Hexadecimal: 0x14098D259980000
• Base-36: OOJF1P08O3K

Squares and roots of 90240021761097728

• 90240021761097728 squared (90240021761097728²) is 8143261527443391494814327566761984
• 90240021761097728 cubed (90240021761097728³) is 734848097442801571850241226043188831071978339172352
• The square root of 90240021761097728 is 300399769.9085299367
• The cube root of 90240021761097728 is 448538.5042361931

Scales and comparisons

• 90,240,021,761,097,728 seconds is equal to 2,869,353,561 years, 15 weeks, 2 minutes, 8 seconds.
• To count from 1 to 90,240,021,761,097,728 would take you about eight billion, six hundred eight million, sixty thousand, six 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 90240021761097728 cubic inches would be around 37378.2 feet tall.

Recreational maths with 90240021761097728

• 90240021761097728 backwards is 82779016712004209
• The number of decimal digits it has is: 17
• The sum of 90240021761097728's digits is 65
• More coming soon!