131406912
131,406,912 is an even composite number composed of six prime numbers multiplied together.
131406912 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 131406912:
26 × 32 × 7 × 13 × 23 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 23 × 109)See below for interesting mathematical facts about the number 131406912 from the Numbermatics database.
Names of 131406912
- Cardinal: 131406912 can be written as One hundred thirty-one million, four hundred six thousand, nine hundred twelve.
Scientific notation
- Scientific notation: 1.31406912 × 108
Factors of 131406912
Divisors of 131406912
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 28 32 36 39 42 46 48 52 56 63 64 69 72 78 84 91 92 96 104 109 112 117 126 138 144 156 161 168 182 184 192 207 208 218 224 234 252 273 276 288 299 312 322 327 336 364 368 414 416 436 448 468 483 504 546 552 576 598 624 644 654 672 728 736 763 819 828 832 872 897 936 966 981 1008 1092 1104 1196 1248 1288 1308 1344 1417 1449 1456 1472 1526 1638 1656 1744 1794 1872 1932 1962 2016 2093 2184 2208 2289 2392 2496 2507 2576 2616 2691 2834 2898 2912 3052 3276 3312 3488 3588 3744 3864 3924 4032 4186 4251 4368 4416 4578 4784 5014 5152 5232 5382 5668 5796 5824 6104 6279 6552 6624 6867 6976 7176 7488 7521 7728 7848 8372 8502 8736 9156 9568 9919 10028 10304 10464 10764 11336 11592 12208 12558 12753 13104 13248 13734 14352 15042 15456 15696 16744 17004 17472 17549 18312 18837 19136 19838 20056 20928 21528 22563 22672 23184 24416 25116 25506 26208 27468 28704 29757 30084 30912 31392 32591 33488 34008 35098 36624 37674 39676 40112 43056 45126 45344 46368 48832 50232 51012 52416 52647 54936 57408 59514 60168 62784 65182 66976 68016 70196 73248 75348 79352 80224 86112 89271 90252 90688 92736 97773 100464 102024 105294 109872 119028 120336 130364 133952 136032 140392 146496 150696 157941 158704 160448 172224 178542 180504 195546 200928 204048 210588 219744 228137 238056 240672 260728 272064 280784 293319 301392 315882 317408 357084 361008 391092 401856 408096 421176 439488 456274 476112 481344 521456 561568 586638 602784 631764 634816 684411 714168 722016 782184 816192 842352 912548 952224 1042912 1123136 1173276 1205568 1263528 1368822 1428336 1444032 1564368 1684704 1825096 1904448 2053233 2085824 2346552 2527056 2737644 2856672 3128736 3369408 3650192 4106466 4693104 5054112 5475288 5713344 6257472 7300384 8212932 9386208 10108224 10950576 14600768 16425864 18772416 21901152 32851728 43802304 65703456 131406912
- Sum of all divisors σ(n): 488167680
- Sum of proper divisors (its aliquot sum) s(n): 356760768
- 131406912 is an abundant number, because the sum of its proper divisors (356760768) is greater than itself. Its abundance is 225353856
Bases of 131406912
- Binary: 1111101010100011100010000002
- Hexadecimal: 0x7D51C40
- Base-36: 268I80
Squares and roots of 131406912
- 131406912 squared (1314069122) is 17267776521375744
- 131406912 cubed (1314069123) is 2269105189780088510742528
-
The
square root of 131406912 is 11463.2853929403 -
The
cube root of 131406912 is 508.4006181173
Scales and comparisons
How big is 131406912?- 131,406,912 seconds is equal to 4 years, 9 weeks, 1 day, 21 hours, 55 minutes, 12 seconds.
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To count from 1 to 131,406,912 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 131406912 cubic inches would be around 42.4 feet tall.
Recreational maths with 131406912
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