90009905664

Names of 90009905664

• Cardinal: 90009905664 can be written as Ninety billion, nine million, nine hundred five thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 9.0009905664 × 10¹⁰

Factors of 90009905664

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 356

Divisors of 90009905664

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 32 38 42 48 56 57 61 62 64 76 84 93 96 112 114 122 124 128 133 152 168 183 186 192 217 224 228 233 244 248 256 266 304 336 366 372 384 399 427 434 448 456 466 488 496 512 532 589 608 651 672 699 732 744 768 798 854 868 896 912 932 976 992 1064 1159 1178 1216 1281 1302 1344 1398 1464 1488 1536 1596 1631 1708 1736 1767 1792 1824 1864 1891 1952 1984 2128 2318 2356 2432 2562 2604 2688 2796 2928 2976 3192 3262 3416 3472 3477 3534 3584 3648 3728 3782 3904 3968 4123 4256 4427 4636 4712 4864 4893 5124 5208 5376 5592 5673 5856 5952 6384 6524 6832 6944 6954 7068 7223 7296 7456 7564 7808 7936 8113 8246 8512 8854 9272 9424 9728 9786 10248 10416 10752 11184 11346 11712 11904 12369 12768 13048 13237 13281 13664 13888 13908 14136 14213 14446 14592 14912 15128 15616 15872 16226 16492 17024 17708 18544 18848 19572 20496 20832 21669 22368 22692 23424 23808 24339 24738 25536 26096 26474 26562 27328 27776 27816 28272 28426 28892 29184 29824 30256 30989 31232 32452 32984 34048 35416 35929 37088 37696 39144 39711 40992 41664 42639 43338 44736 45384 46848 47616 48678 49476 50561 51072 52192 52948 53124 54656 55552 55632 56544 56852 57784 59648 60512 61978 64904 65968 68096 70832 71858 74176 75392 78288 79422 81984 83328 85278 86676 89472 90768 92967 93696 97356 98952 99491 101122 102144 104384 105896 106248 107787 109312 111104 111264 113088 113704 115568 119296 121024 123956 129808 131936 137237 141664 143716 148352 150784 151683 156576 158844 163968 166656 170556 173352 178944 181536 185934 194712 197904 198982 202244 204288 208768 211792 212496 215574 218624 222528 226176 227408 231136 242048 247912 251503 259616 263872 270047 274474 283328 287432 296704 298473 301568 303366 313152 317688 327936 333312 341112 346704 357888 363072 371868 389424 395808 397964 404488 411711 417536 423584 424992 431148 440603 445056 452352 454816 462272 484096 495824 503006 519232 527744 540094 548948 566656 574864 593408 596946 606732 626304 635376 655872 682224 693408 726144 743736 754509 778848 791616 795928 808976 810141 823422 835072 847168 849984 862296 881206 890112 904704 909632 924544 960659 968192 991648 1006012 1038464 1055488 1080188 1097896 1133312 1149728 1193892 1213464 1252608 1270752 1321809 1364448 1386816 1452288 1487472 1509018 1557696 1583232 1591856 1617952 1620282 1646844 1694336 1699968 1724592 1762412 1780224 1819264 1849088 1890329 1921318 1983296 2012024 2076928 2110976 2160376 2195792 2266624 2299456 2387784 2426928 2505216 2541504 2643618 2728896 2773632 2881977 2904576 2974944 3018036 3084221 3115392 3166464 3183712 3235904 3240564 3293688 3388672 3399936 3449184 3524824 3638528 3698176 3780658 3842636 3966592 4024048 4153856 4320752 4391584 4598912 4775568 4853856 5083008 5287236 5457792 5547264 5670987 5763954 5949888 6036072 6168442 6230784 6332928 6367424 6471808 6481128 6587376 6777344 6799872 6898368 7049648 7277056 7561316 7685272 7933184 8048096 8371457 8641504 8783168 9197824 9252663 9551136 9707712 10166016 10574472 10915584 11094528 11341974 11527908 11899776 12072144 12336884 12461568 12734848 12943616 12962256 13174752 13796736 14099296 15122632 15370544 15866368 16096192 16742914 17283008 17566336 18395648 18505326 19102272 19415424 20332032 21148944 21831168 22683948 23055816 23799552 24144288 24673768 25114371 25469696 25887232 25924512 26349504 27593472 28198592 30245264 30741088 32192384 33485828 34566016 35132672 37010652 38204544 38830848 42297888 45367896 46111632 47599104 48288576 49347536 50228742 50939392 51849024 52699008 55186944 56397184 58600199 60490528 61482176 64384768 66971656 69132032 70265344 74021304 76409088 77661696 84595776 90735792 92223264 96577152 98695072 100457484 103698048 105398016 112794368 117200398 120981056 122964352 128769536 133943312 138264064 148042608 152818176 169191552 175800597 181471584 184446528 193154304 197390144 200914968 207396096 210796032 225588736 234400796 241962112 245928704 267886624 296085216 338383104 351601194 362943168 368893056 386308608 394780288 401829936 414792192 468801592 483924224 491857408 535773248 592170432 676766208 703202388 725886336 737786112 789560576 803659872 937603184 967848448 1071546496 1184340864 1406404776 1451772672 1475572224 1579121152 1607319744 1875206368 2143092992 2368681728 2812809552 2903545344 3214639488 3750412736 4286185984 4737363456 5625619104 6429278976 7500825472 11251238208 12858557952 15001650944 22502476416 30003301888 45004952832 90009905664
• Sum of all divisors σ(n): 303957688320
• Sum of proper divisors (its aliquot sum) s(n): 213947782656
• 90009905664 is an abundant number, because the sum of its proper divisors (213947782656) is greater than itself. Its abundance is 123937876992

Bases of 90009905664

• Binary: 1010011110101000000100010101000000000₂
• Hexadecimal: 0x14F5022A00
• Base-36: 15CLKNPC

Squares and roots of 90009905664

• 90009905664 squared (90009905664²) is 8101783117642179280896
• 90009905664 cubed (90009905664³) is 729240734129160371180824317394944
• The square root of 90009905664 is 300016.5089857555
• The cube root of 90009905664 is 4481.5691527095

Scales and comparisons

• 90,009,905,664 seconds is equal to 2,862 years, 1 week, 6 days, 7 hours, 34 minutes, 24 seconds.
• To count from 1 to 90,009,905,664 would take you about five thousand, seven hundred twenty-four 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 90009905664 cubic inches would be around 373.5 feet tall.

Recreational maths with 90009905664

• 90009905664 backwards is 46650990009
• 90009905664 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 90009905664's digits is 48
• More coming soon!