105664367424

Names of 105664367424

• Cardinal: 105664367424 can be written as One hundred five billion, six hundred sixty-four million, three hundred sixty-seven thousand, four hundred twenty-four.

Scientific notation

• Scientific notation: 1.05664367424 × 10¹¹

Factors of 105664367424

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5268

Divisors of 105664367424

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 32 33 38 42 44 48 56 57 64 66 73 76 77 84 88 96 112 114 132 133 146 152 154 168 176 192 209 219 224 228 231 264 266 292 304 308 336 352 399 418 438 448 456 462 511 528 532 584 608 616 627 672 704 798 803 836 876 912 924 1022 1056 1064 1168 1216 1232 1254 1344 1387 1463 1533 1596 1606 1672 1752 1824 1848 2044 2112 2128 2336 2409 2464 2508 2774 2926 3066 3192 3212 3344 3504 3648 3696 4088 4161 4256 4389 4672 4818 4928 5016 5153 5548 5621 5852 6132 6384 6424 6688 7008 7392 8176 8322 8512 8778 9636 9709 10032 10306 11096 11242 11704 12264 12768 12848 13376 14016 14784 15257 15459 16352 16644 16863 17556 19272 19418 20064 20612 22192 22484 23408 24528 25536 25696 29127 30514 30918 32704 33288 33726 35112 36071 38544 38836 40128 41224 44384 44968 45771 46816 49056 51392 56683 58254 61028 61836 66576 67452 70224 72142 77088 77672 82448 88768 89936 91542 93632 97907 98112 106799 108213 113366 116508 122056 123672 133152 134904 140448 144284 154176 155344 164896 170049 179872 183084 195814 213598 216426 226732 233016 244112 247344 266304 269808 280896 288568 293721 310688 320397 329792 340098 359744 366168 376169 391628 396781 427196 432852 453464 466032 488224 494688 539616 577136 587442 621376 640794 680196 685349 732336 752338 783256 793562 854392 865704 906928 932064 976448 989376 1076977 1079232 1128507 1154272 1174884 1190343 1281588 1360392 1370698 1464672 1504676 1566512 1587124 1708784 1731408 1813856 1864128 2056047 2153954 2257014 2308544 2349768 2380686 2563176 2633183 2720784 2741396 2929344 3009352 3133024 3174248 3230931 3417568 3462816 3627712 4112094 4137859 4307908 4514028 4699536 4761372 5126352 5266366 5441568 5482792 6018704 6266048 6348496 6461862 6835136 6925632 7147211 7538839 7899549 8224188 8275718 8615816 9028056 9399072 9522744 10252704 10532732 10883136 10965584 12037408 12413577 12696992 12923724 14294422 15077678 15799098 16448376 16551436 17231632 18056112 18798144 19045488 20505408 21065464 21441633 21931168 22616517 24074816 24827154 25393984 25847448 28588844 28965013 30155356 31598196 32896752 33102872 34463264 36112224 38090976 42130928 42883266 43862336 45233034 49654308 50030477 51694896 57177688 57930026 60310712 63196392 65793504 66205744 68926528 72224448 76181952 78619321 84261856 85766532 86895039 90466068 99308616 100060954 103389792 114355376 115860052 120621424 126392784 131587008 132411488 150091431 157238642 168523712 171533064 173790078 180932136 198617232 200121908 206779584 228710752 231720104 235857963 241242848 252785568 264822976 300182862 314477284 343066128 347580156 361864272 397234464 400243816 457421504 463440208 471715926 482485696 505571136 550335247 600365724 628954568 686132256 695160312 723728544 794468928 800487632 926880416 943431852 1100670494 1200731448 1257909136 1372264512 1390320624 1447457088 1600975264 1651005741 1853760832 1886863704 2201340988 2401462896 2515818272 2780641248 3201950528 3302011482 3773727408 4402681976 4802925792 5031636544 5561282496 6604022964 7547454816 8805363952 9605851584 13208045928 15094909632 17610727904 26416091856 35221455808 52832183712 105664367424
• Sum of all divisors σ(n): 371998402560
• Sum of proper divisors (its aliquot sum) s(n): 266334035136
• 105664367424 is an abundant number, because the sum of its proper divisors (266334035136) is greater than itself. Its abundance is 160669667712

Bases of 105664367424

• Binary: 1100010011010000101100100101101000000₂
• Hexadecimal: 0x189A164B40
• Base-36: 1CJHU3PC

Squares and roots of 105664367424

• 105664367424 squared (105664367424²) is 11164958543114072395776
• 105664367424 cubed (105664367424³) is 1179738281773333090772211209601024
• The square root of 105664367424 is 325060.5596254335
• The cube root of 105664367424 is 4727.6231701981

Scales and comparisons

• 105,664,367,424 seconds is equal to 3,359 years, 41 weeks, 4 days, 5 hours, 10 minutes, 24 seconds.
• To count from 1 to 105,664,367,424 would take you about six thousand, seven hundred nineteen 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 105664367424 cubic inches would be around 394 feet tall.

Recreational maths with 105664367424

• 105664367424 backwards is 424763466501
• 105664367424 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 105664367424's digits is 48
• More coming soon!