131413128
131,413,128 is an even composite number composed of seven prime numbers multiplied together.
131413128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 131413128:
23 × 3 × 7 × 11 × 17 × 47 × 89
(2 × 2 × 2 × 3 × 7 × 11 × 17 × 47 × 89)See below for interesting mathematical facts about the number 131413128 from the Numbermatics database.
Names of 131413128
- Cardinal: 131413128 can be written as One hundred thirty-one million, four hundred thirteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.31413128 × 108
Factors of 131413128
Divisors of 131413128
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 47 51 56 66 68 77 84 88 89 94 102 119 132 136 141 154 168 178 187 188 204 231 238 264 267 282 308 329 356 357 374 376 408 462 476 517 534 561 564 616 623 658 712 714 748 799 924 952 979 987 1034 1068 1122 1128 1246 1309 1316 1428 1496 1513 1551 1598 1848 1869 1958 1974 2068 2136 2244 2397 2492 2618 2632 2856 2937 3026 3102 3196 3619 3738 3916 3927 3948 4136 4183 4488 4539 4794 4984 5236 5593 5874 6052 6204 6392 6853 7238 7476 7832 7854 7896 8366 8789 9078 9588 10472 10591 10857 11186 11748 12104 12408 12549 13706 14476 14952 15708 16643 16732 16779 17578 18156 19176 20559 21182 21714 22372 23496 25098 26367 27412 28952 29281 31416 31773 33286 33464 33558 35156 36312 41118 42364 43428 44744 46013 49929 50196 52734 54824 58562 61523 63546 66572 67116 70312 71111 82236 84728 86856 87843 92026 99858 100392 105468 116501 117124 123046 127092 133144 134232 138039 142222 164472 175686 184052 184569 199716 210936 213333 233002 234248 246092 254184 276078 284444 322091 349503 351372 368104 369138 399432 426666 466004 492184 497777 552156 568888 644182 699006 702744 738276 782221 853332 932008 966273 995554 1104312 1288364 1398012 1476552 1493331 1564442 1706664 1932546 1991108 2346663 2576728 2796024 2986662 3128884 3865092 3982216 4693326 5475547 5973324 6257768 7730184 9386652 10951094 11946648 16426641 18773304 21902188 32853282 43804376 65706564 131413128
- Sum of all divisors σ(n): 447897600
- Sum of proper divisors (its aliquot sum) s(n): 316484472
- 131413128 is an abundant number, because the sum of its proper divisors (316484472) is greater than itself. Its abundance is 185071344
Bases of 131413128
- Binary: 1111101010100110100100010002
- Hexadecimal: 0x7D53488
- Base-36: 268N0O
Squares and roots of 131413128
- 131413128 squared (1314131282) is 17269410210744384
- 131413128 cubed (1314131283) is 2269427214509058709873152
-
The
square root of 131413128 is 11463.5565161951 -
The
cube root of 131413128 is 508.4086343583
Scales and comparisons
How big is 131413128?- 131,413,128 seconds is equal to 4 years, 9 weeks, 1 day, 23 hours, 38 minutes, 48 seconds.
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To count from 1 to 131,413,128 would take you about six 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 131413128 cubic inches would be around 42.4 feet tall.
Recreational maths with 131413128
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