31457344493952
31,457,344,493,952 is an even composite number composed of eight prime numbers multiplied together.
What does the number 31457344493952 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
31457344493952 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 31457344493952:
27 × 32 × 13 × 17 × 192 × 31 × 61 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 19 × 19 × 31 × 61 × 181)See below for interesting mathematical facts about the number 31457344493952 from the Numbermatics database.
Names of 31457344493952
- Cardinal: 31457344493952 can be written as Thirty-one trillion, four hundred fifty-seven billion, three hundred forty-four million, four hundred ninety-three thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 3.1457344493952 × 1013
Factors of 31457344493952
Divisors of 31457344493952
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 31 32 34 36 38 39 48 51 52 57 61 62 64 68 72 76 78 93 96 102 104 114 117 122 124 128 136 144 152 153 156 171 181 183 186 192 204 208 221 228 234 244 247 248 272 279 288 304 306 312 323 342 361 362 366 372 384 403 408 416 442 456 468 488 494 496 527 543 544 549 558 576 589 608 612 624 646 663 684 722 724 732 741 744 793 806 816 832 884 912 936 969 976 988 992 1037 1054 1083 1086 1088 1098 1116 1152 1159 1178 1209 1216 1224 1248 1292 1326 1368 1444 1448 1464 1482 1488 1581 1586 1612 1629 1632 1664 1767 1768 1824 1872 1891 1938 1952 1976 1984 1989 2074 2108 2166 2172 2176 2196 2223 2232 2318 2353 2356 2379 2418 2432 2448 2496 2584 2652 2736 2888 2896 2907 2928 2964 2976 3077 3111 3162 3172 3224 3249 3258 3264 3439 3477 3534 3536 3627 3648 3744 3782 3876 3904 3952 3968 3978 4148 4199 4216 4332 4344 4392 4446 4464 4636 4693 4706 4712 4743 4758 4836 4896 4992 5168 5301 5304 5472 5611 5673 5776 5792 5814 5856 5928 5952 6137 6154 6222 6324 6344 6448 6498 6516 6528 6851 6878 6954 7059 7068 7072 7137 7254 7296 7488 7564 7657 7752 7808 7904 7956 8296 8398 8432 8664 8688 8784 8892 8928 9231 9272 9333 9386 9412 9424 9486 9516 9672 9792 10013 10317 10336 10431 10602 10608 10944 11041 11191 11222 11346 11552 11584 11628 11712 11856 11904 12274 12308 12444 12597 12648 12688 12896 12996 13032 13481 13702 13756 13908 14079 14118 14136 14144 14274 14508 14976 15067 15128 15314 15504 15808 15912 16592 16796 16833 16864 17019 17328 17376 17568 17784 17856 18411 18462 18544 18666 18772 18824 18848 18972 19032 19344 19584 19703 20026 20553 20634 20672 20862 21177 21204 21216 21888 22021 22082 22382 22444 22692 22971 23104 23168 23256 23424 23712 24548 24583 24616 24888 25194 25296 25376 25792 25992 26064 26962 27404 27512 27693 27816 28158 28236 28272 28288 28548 29016 30039 30134 30256 30628 30951 31008 31616 31824 32147 33123 33184 33573 33592 33666 33728 34038 34656 34752 35136 35568 35712 35929 36822 36924 37088 37332 37544 37648 37696 37791 37944 38064 38688 39406 40001 40052 40443 41106 41268 41344 41724 42237 42354 42408 42432 44042 44164 44707 44764 44888 45201 45384 45942 46208 46512 47424 49096 49166 49232 49776 50388 50499 50592 50752 51584 51984 52128 53924 54808 55024 55233 55386 55632 56316 56472 56544 57096 58032 58463 59109 60078 60268 60512 61256 61659 61902 62016 63648 64294 65341 66063 66246 66368 67146 67184 67332 67456 68076 68913 69312 69504 70272 71136 71858 72943 73644 73749 73848 74176 74664 75088 75296 75392 75582 75888 76128 77376 78812 79781 80002 80104 80886 82212 82536 83448 84474 84708 84816 84864 88084 88328 89414 89528 89776 90117 90402 90768 91884 93024 94848 95387 96441 98192 98332 98464 99369 99552 100719 100776 100998 101184 101504 103968 104256 106609 107787 107848 109616 110048 110466 110772 111264 112632 112944 113088 114192 116064 116926 118218 120003 120156 120536 121024 121329 122512 123318 123804 124032 127296 128588 130169 130682 132126 132492 132736 134121 134292 134368 134664 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10485781497984 15728672246976 31457344493952
- Sum of all divisors σ(n): 114927009200640
- Sum of proper divisors (its aliquot sum) s(n): 83469664706688
- 31457344493952 is an abundant number, because the sum of its proper divisors (83469664706688) is greater than itself. Its abundance is 52012320212736
Bases of 31457344493952
- Binary: 1110010011100001110111101100000011001100000002
- Hexadecimal: 0x1C9C3BD81980
- Base-36: B5FAYPGG0
Squares and roots of 31457344493952
- 31457344493952 squared (314573444939522) is 989564522611172210964578304
- 31457344493952 cubed (314573444939523) is 31129072086772797556387047474239958417408
-
The
square root of 31457344493952 is 5608684.7383278729 -
The
cube root of 31457344493952 is 31567.5361247339
Scales and comparisons
How big is 31457344493952?- 31,457,344,493,952 seconds is equal to 1,000,246 years, 13 weeks, 8 hours, 19 minutes, 12 seconds.
-
To count from 1 to 31,457,344,493,952 would take you about two million, five hundred thousand, six hundred 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 31457344493952 cubic inches would be around 2630.6 feet tall.
Recreational maths with 31457344493952
- 31457344493952 backwards is 25939444375413
- The number of decimal digits it has is: 14
- The sum of 31457344493952's digits is 63
- More coming soon!
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The information we have on file for 31457344493952 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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