96681312
96,681,312 is an even composite number composed of six prime numbers multiplied together.
96681312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 96681312:
25 × 32 × 72 × 13 × 17 × 31
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 17 × 31)See below for interesting mathematical facts about the number 96681312 from the Numbermatics database.
Names of 96681312
- Cardinal: 96681312 can be written as Ninety-six million, six hundred eighty-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 9.6681312 × 107
Factors of 96681312
Divisors of 96681312
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 31 32 34 36 39 42 48 49 51 52 56 62 63 68 72 78 84 91 93 96 98 102 104 112 117 119 124 126 136 144 147 153 156 168 182 186 196 204 208 217 221 224 234 238 248 252 272 273 279 288 294 306 312 336 357 364 372 392 403 408 416 434 441 442 468 476 496 504 527 544 546 558 588 612 624 637 651 663 672 714 728 744 784 806 816 819 833 868 882 884 936 952 992 1008 1054 1071 1092 1116 1176 1209 1224 1248 1274 1302 1326 1428 1456 1488 1519 1547 1568 1581 1612 1632 1638 1666 1736 1764 1768 1872 1904 1911 1953 1989 2016 2108 2142 2184 2232 2352 2418 2448 2499 2548 2604 2652 2821 2856 2912 2976 3038 3094 3162 3224 3276 3332 3472 3528 3536 3627 3689 3744 3808 3822 3906 3978 4216 4284 4368 4464 4557 4641 4704 4743 4836 4896 4998 5096 5208 5304 5642 5712 5733 6076 6188 6324 6448 6552 6664 6851 6944 7056 7072 7254 7378 7497 7644 7812 7956 8432 8463 8568 8736 8928 9114 9282 9486 9672 9996 10192 10416 10608 10829 11067 11284 11424 11466 12152 12376 12648 12896 13104 13328 13671 13702 13923 14112 14508 14756 14994 15288 15624 15912 16864 16926 17136 18228 18564 18972 19344 19747 19992 20384 20553 20832 21216 21658 22134 22568 22932 24304 24752 25296 25389 25823 26208 26656 27342 27404 27846 29016 29512 29988 30576 31248 31824 32487 33201 33852 34272 36456 37128 37944 38688 39494 39984 41106 43316 44268 45136 45864 47957 48608 49504 50592 50778 51646 54684 54808 55692 58032 59024 59241 59976 61152 61659 62496 63648 64974 66402 67704 72912 74256 75888 77469 78988 79968 82212 86632 88536 90272 91728 95914 97461 101556 103292 109368 109616 111384 116064 118048 118482 119952 123318 129948 132804 135408 143871 145824 148512 151776 154938 157976 164424 173264 177072 177723 183456 191828 194922 203112 206584 218736 219232 222768 232407 236964 239904 246636 259896 265608 270816 287742 309876 315952 328848 335699 346528 354144 355446 383656 389844 406224 413168 431613 437472 445536 464814 473928 493272 519792 531216 575484 619752 631904 657696 671398 710892 767312 779688 812448 826336 863226 929628 947856 986544 1007097 1039584 1062432 1150968 1239504 1342796 1421784 1534624 1559376 1726452 1859256 1895712 1973088 2014194 2301936 2479008 2685592 2843568 3021291 3118752 3452904 3718512 4028388 4603872 5371184 5687136 6042582 6905808 7437024 8056776 10742368 12085164 13811616 16113552 24170328 32227104 48340656 96681312
- Sum of all divisors σ(n): 376451712
- Sum of proper divisors (its aliquot sum) s(n): 279770400
- 96681312 is an abundant number, because the sum of its proper divisors (279770400) is greater than itself. Its abundance is 183089088
Bases of 96681312
- Binary: 1011100001100111101011000002
- Hexadecimal: 0x5C33D60
- Base-36: 1LK7S0
Squares and roots of 96681312
- 96681312 squared (966813122) is 9347276090041344
- 96681312 cubed (966813123) is 903706916011427272163328
-
The
square root of 96681312 is 9832.6655592469 -
The
cube root of 96681312 is 458.9663495059
Scales and comparisons
How big is 96681312?- 96,681,312 seconds is equal to 3 years, 3 weeks, 5 days, 23 hours, 55 minutes, 12 seconds.
-
To count from 1 to 96,681,312 would take you about 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 96681312 cubic inches would be around 38.2 feet tall.
Recreational maths with 96681312
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