136831968
136,831,968 is an even composite number composed of six prime numbers multiplied together.
136831968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 136831968:
25 × 32 × 7 × 13 × 23 × 227
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 23 × 227)See below for interesting mathematical facts about the number 136831968 from the Numbermatics database.
Names of 136831968
- Cardinal: 136831968 can be written as One hundred thirty-six million, eight hundred thirty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.36831968 × 108
Factors of 136831968
Divisors of 136831968
- Number of divisors d(n): 288
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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 69 72 78 84 91 92 96 104 112 117 126 138 144 156 161 168 182 184 207 208 224 227 234 252 273 276 288 299 312 322 336 364 368 414 416 454 468 483 504 546 552 598 624 644 672 681 728 736 819 828 897 908 936 966 1008 1092 1104 1196 1248 1288 1362 1449 1456 1589 1638 1656 1794 1816 1872 1932 2016 2043 2093 2184 2208 2392 2576 2691 2724 2898 2912 2951 3178 3276 3312 3588 3632 3744 3864 4086 4186 4368 4767 4784 5152 5221 5382 5448 5796 5902 6279 6356 6552 6624 7176 7264 7728 8172 8372 8736 8853 9534 9568 10442 10764 10896 11592 11804 12558 12712 13104 14301 14352 15456 15663 16344 16744 17706 18837 19068 20657 20884 21528 21792 23184 23608 25116 25424 26208 26559 28602 28704 31326 32688 33488 35412 36547 37674 38136 41314 41768 43056 46368 46989 47216 50232 50848 53118 57204 61971 62652 65376 66976 67873 70824 73094 75348 76272 82628 83536 86112 93978 94432 100464 106236 109641 114408 123942 125304 135746 141648 146188 150696 152544 165256 167072 185913 187956 200928 203619 212472 219282 228816 247884 250608 271492 283296 292376 301392 328923 330512 371826 375912 407238 424944 438564 457632 475111 495768 501216 542984 584752 602784 610857 657846 661024 743652 751824 814476 849888 877128 950222 991536 1085968 1169504 1221714 1315692 1425333 1487304 1503648 1628952 1754256 1900444 1983072 2171936 2443428 2631384 2850666 2974608 3257904 3508512 3800888 4275999 4886856 5262768 5701332 5949216 6515808 7601776 8551998 9773712 10525536 11402664 15203552 17103996 19547424 22805328 34207992 45610656 68415984 136831968
- Sum of all divisors σ(n): 501935616
- Sum of proper divisors (its aliquot sum) s(n): 365103648
- 136831968 is an abundant number, because the sum of its proper divisors (365103648) is greater than itself. Its abundance is 228271680
Bases of 136831968
- Binary: 10000010011111100011111000002
- Hexadecimal: 0x827E3E0
- Base-36: 29GS80
Squares and roots of 136831968
- 136831968 squared (1368319682) is 18722987466753024
- 136831968 cubed (1368319683) is 2561903221915150843871232
-
The
square root of 136831968 is 11697.5197371067 -
The
cube root of 136831968 is 515.3028262669
Scales and comparisons
How big is 136831968?- 136,831,968 seconds is equal to 4 years, 18 weeks, 1 day, 16 hours, 52 minutes, 48 seconds.
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To count from 1 to 136,831,968 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 136831968 cubic inches would be around 42.9 feet tall.
Recreational maths with 136831968
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