136977984
136,977,984 is an even composite number composed of five prime numbers multiplied together.
136977984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 136977984:
26 × 32 × 11 × 13 × 1663
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 1663)See below for interesting mathematical facts about the number 136977984 from the Numbermatics database.
Names of 136977984
- Cardinal: 136977984 can be written as One hundred thirty-six million, nine hundred seventy-seven thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.36977984 × 108
Factors of 136977984
Divisors of 136977984
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 64 66 72 78 88 96 99 104 117 132 143 144 156 176 192 198 208 234 264 286 288 312 352 396 416 429 468 528 572 576 624 704 792 832 858 936 1056 1144 1248 1287 1584 1663 1716 1872 2112 2288 2496 2574 3168 3326 3432 3744 4576 4989 5148 6336 6652 6864 7488 9152 9978 10296 13304 13728 14967 18293 19956 20592 21619 26608 27456 29934 36586 39912 41184 43238 53216 54879 59868 64857 73172 79824 82368 86476 106432 109758 119736 129714 146344 159648 164637 172952 194571 219516 237809 239472 259428 292688 319296 329274 345904 389142 439032 475618 478944 518856 585376 658548 691808 713427 778284 878064 951236 957888 1037712 1170752 1317096 1383616 1426854 1556568 1756128 1902472 2075424 2140281 2634192 2853708 3113136 3512256 3804944 4150848 4280562 5268384 5707416 6226272 7609888 8561124 10536768 11414832 12452544 15219776 17122248 22829664 34244496 45659328 68488992 136977984
- Sum of all divisors σ(n): 461540352
- Sum of proper divisors (its aliquot sum) s(n): 324562368
- 136977984 is an abundant number, because the sum of its proper divisors (324562368) is greater than itself. Its abundance is 187584384
Bases of 136977984
- Binary: 10000010101000011110010000002
- Hexadecimal: 0x82A1E40
- Base-36: 29JWW0
Squares and roots of 136977984
- 136977984 squared (1369779842) is 18762968100704256
- 136977984 cubed (1369779843) is 2570113544290777967099904
-
The
square root of 136977984 is 11703.7593960231 -
The
cube root of 136977984 is 515.4860575937
Scales and comparisons
How big is 136977984?- 136,977,984 seconds is equal to 4 years, 18 weeks, 3 days, 9 hours, 26 minutes, 24 seconds.
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To count from 1 to 136,977,984 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 136977984 cubic inches would be around 43 feet tall.
Recreational maths with 136977984
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