90097809984

Names of 90097809984

• Cardinal: 90097809984 can be written as Ninety billion, ninety-seven million, eight hundred nine thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 9.0097809984 × 10¹⁰

Factors of 90097809984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1478

Divisors of 90097809984

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 64 72 78 84 91 96 98 104 112 117 126 144 147 156 168 169 182 192 196 208 224 234 252 273 288 294 312 336 338 364 392 416 441 448 468 504 507 546 576 588 624 637 672 676 728 784 819 832 882 936 1008 1014 1092 1176 1183 1248 1274 1344 1352 1453 1456 1521 1568 1638 1764 1872 1911 2016 2028 2184 2197 2352 2366 2496 2548 2704 2906 2912 3042 3136 3276 3528 3549 3744 3822 4032 4056 4359 4368 4394 4704 4732 5096 5408 5733 5812 5824 6084 6552 6591 7056 7098 7488 7644 8112 8281 8718 8736 8788 9408 9464 10171 10192 10647 10816 11466 11624 12168 13077 13104 13182 14112 14196 15288 15379 16224 16562 17436 17472 17576 18889 18928 19773 20342 20384 21294 22932 23248 24336 24843 26154 26208 26364 28224 28392 30513 30576 30758 32448 33124 34872 35152 37778 37856 39546 40684 40768 42588 45864 46137 46496 48672 49686 52308 52416 52728 56667 56784 61026 61152 61516 66248 69744 70304 71197 74529 75556 75712 79092 81368 85176 91539 91728 92274 92992 97344 99372 104616 105456 107653 113334 113568 122052 122304 123032 132223 132496 138411 139488 140608 142394 149058 151112 158184 162736 170001 170352 183078 183456 184548 198744 209232 210912 213591 215306 226668 227136 244104 245557 246064 264446 264992 276822 278976 284788 298116 302224 316368 322959 325472 340002 340704 366156 366912 369096 396669 397488 418464 421824 427182 430612 453336 488208 491114 492128 528892 529984 553644 569576 596232 604448 632736 640773 645918 650944 680004 681408 732312 736671 738192 793338 794976 836928 854364 861224 906672 925561 968877 976416 982228 984256 1057784 1107288 1139152 1190007 1192464 1208896 1265472 1281546 1291836 1360008 1464624 1473342 1476384 1586676 1589952 1708728 1718899 1722448 1813344 1851122 1937754 1952832 1964456 2115568 2210013 2214576 2278304 2380014 2384928 2563092 2583672 2720016 2776683 2929248 2946684 2952768 3173352 3192241 3417456 3437798 3444896 3626688 3702244 3875508 3928912 4231136 4420026 4429152 4556608 4760028 4769856 5126184 5156697 5167344 5440032 5553366 5858496 5893368 6346704 6384482 6834912 6875596 6889792 7404488 7751016 7857824 8330049 8462272 8840052 8858304 9520056 9576723 10252368 10313394 10334688 10880064 11106732 11786736 12032293 12693408 12768964 13669824 13751192 14808976 15470091 15502032 15715648 16660098 17680104 19040112 19153446 20504736 20626788 20669376 22213464 22345687 23573472 24064586 25386816 25537928 27502384 28730169 29617952 30940182 31004064 33320196 35360208 36096879 38080224 38306892 41009472 41253576 44426928 44691374 47146944 48129172 51075856 55004768 57460338 59235904 61880364 62008128 66640392 67037061 70720416 72193758 76160448 76613784 82507152 88853856 89382748 96258344 102151712 108290637 110009536 114920676 123760728 133280784 134074122 141440832 144387516 153227568 156419809 165014304 177707712 178765496 192516688 201111183 204303424 216581274 229841352 247521456 266561568 268148244 288775032 306455136 312839618 330028608 357530992 385033376 402222366 433162548 459682704 469259427 495042912 533123136 536296488 577550064 612910272 625679236 715061984 770066752 804444732 866325096 919365408 938518854 990085824 1072592976 1155100128 1251358472 1407778281 1430123968 1608889464 1732650192 1838730816 1877037708 2145185952 2310200256 2502716944 2815556562 3217778928 3465300384 3754075416 4290371904 5005433888 5631113124 6435557856 6930600768 7508150832 10010867776 11262226248 12871115712 15016301664 22524452496 30032603328 45048904992 90097809984
• Sum of all divisors σ(n): 325659155640
• Sum of proper divisors (its aliquot sum) s(n): 235561345656
• 90097809984 is an abundant number, because the sum of its proper divisors (235561345656) is greater than itself. Its abundance is 145463535672

Bases of 90097809984

• Binary: 1010011111010001111110111101001000000₂
• Hexadecimal: 0x14FA3F7A40
• Base-36: 15E1WR40

Squares and roots of 90097809984

• 90097809984 squared (90097809984²) is 8117615363912970080256
• 90097809984 cubed (90097809984³) is 731379366581029789003982318075904
• The square root of 90097809984 is 300162.9723733425
• The cube root of 90097809984 is 4483.0275889079

Scales and comparisons

• 90,097,809,984 seconds is equal to 2,864 years, 43 weeks, 1 day, 17 hours, 26 minutes, 24 seconds.
• To count from 1 to 90,097,809,984 would take you about five thousand, seven hundred twenty-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 90097809984 cubic inches would be around 373.6 feet tall.

Recreational maths with 90097809984

• 90097809984 backwards is 48990879009
• 90097809984 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 90097809984's digits is 63
• More coming soon!