331121664
331,121,664 is an even composite number composed of five prime numbers multiplied together.
331121664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 331121664:
210 × 32 × 19 × 31 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 31 × 61)See below for interesting mathematical facts about the number 331121664 from the Numbermatics database.
Names of 331121664
- Cardinal: 331121664 can be written as Three hundred thirty-one million, one hundred twenty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 3.31121664 × 108
Factors of 331121664
Divisors of 331121664
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 61 62 64 72 76 93 96 114 122 124 128 144 152 171 183 186 192 228 244 248 256 279 288 304 342 366 372 384 456 488 496 512 549 558 576 589 608 684 732 744 768 912 976 992 1024 1098 1116 1152 1159 1178 1216 1368 1464 1488 1536 1767 1824 1891 1952 1984 2196 2232 2304 2318 2356 2432 2736 2928 2976 3072 3477 3534 3648 3782 3904 3968 4392 4464 4608 4636 4712 4864 5301 5472 5673 5856 5952 6954 7068 7296 7564 7808 7936 8784 8928 9216 9272 9424 9728 10431 10602 10944 11346 11712 11904 13908 14136 14592 15128 15616 15872 17019 17568 17856 18544 18848 19456 20862 21204 21888 22692 23424 23808 27816 28272 29184 30256 31232 31744 34038 35136 35712 35929 37088 37696 41724 42408 43776 45384 46848 47616 55632 56544 58368 60512 62464 68076 70272 71424 71858 74176 75392 83448 84816 87552 90768 93696 95232 107787 111264 113088 121024 136152 140544 142848 143716 148352 150784 166896 169632 175104 181536 187392 215574 222528 226176 242048 272304 281088 285696 287432 296704 301568 323361 333792 339264 363072 431148 445056 452352 484096 544608 562176 574864 593408 603136 646722 667584 678528 726144 862296 890112 904704 968192 1089216 1149728 1186816 1293444 1335168 1357056 1452288 1724592 1780224 1809408 1936384 2178432 2299456 2586888 2670336 2714112 2904576 3449184 3560448 4356864 4598912 5173776 5340672 5428224 5809152 6898368 8713728 9197824 10347552 10681344 13796736 17427456 18395648 20695104 27593472 36791296 41390208 55186944 82780416 110373888 165560832 331121664
- Sum of all divisors σ(n): 1055924480
- Sum of proper divisors (its aliquot sum) s(n): 724802816
- 331121664 is an abundant number, because the sum of its proper divisors (724802816) is greater than itself. Its abundance is 393681152
Bases of 331121664
- Binary: 100111011110010000100000000002
- Hexadecimal: 0x13BC8400
- Base-36: 5H5340
Squares and roots of 331121664
- 331121664 squared (3311216642) is 109641556370128896
- 331121664 cubed (3311216643) is 36304694588826879938002944
-
The
square root of 331121664 is 18196.7487205819 -
The
cube root of 331121664 is 691.8243843623
Scales and comparisons
How big is 331121664?- 331,121,664 seconds is equal to 10 years, 27 weeks, 3 days, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 331,121,664 would take you about fifteen 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 331121664 cubic inches would be around 57.7 feet tall.
Recreational maths with 331121664
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