137968512
137,968,512 is an even composite number composed of five prime numbers multiplied together.
137968512 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 137968512:
27 × 3 × 11 × 89 × 367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 89 × 367)See below for interesting mathematical facts about the number 137968512 from the Numbermatics database.
Names of 137968512
- Cardinal: 137968512 can be written as One hundred thirty-seven million, nine hundred sixty-eight thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.37968512 × 108
Factors of 137968512
Divisors of 137968512
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 89 96 128 132 176 178 192 264 267 352 356 367 384 528 534 704 712 734 979 1056 1068 1101 1408 1424 1468 1958 2112 2136 2202 2848 2936 2937 3916 4037 4224 4272 4404 5696 5872 5874 7832 8074 8544 8808 11392 11744 11748 12111 15664 16148 17088 17616 23488 23496 24222 31328 32296 32663 34176 35232 46976 46992 48444 62656 64592 65326 70464 93984 96888 97989 125312 129184 130652 140928 187968 193776 195978 258368 261304 359293 375936 387552 391956 516736 522608 718586 775104 783912 1045216 1077879 1437172 1550208 1567824 2090432 2155758 2874344 3135648 4180864 4311516 5748688 6271296 8623032 11497376 12542592 17246064 22994752 34492128 45989504 68984256 137968512
- Sum of all divisors σ(n): 405388800
- Sum of proper divisors (its aliquot sum) s(n): 267420288
- 137968512 is an abundant number, because the sum of its proper divisors (267420288) is greater than itself. Its abundance is 129451776
Bases of 137968512
- Binary: 10000011100100111011100000002
- Hexadecimal: 0x8393B80
- Base-36: 2A556O
Squares and roots of 137968512
- 137968512 squared (1379685122) is 19035310303494144
- 137968512 cubed (1379685123) is 2626273438031355448393728
-
The
square root of 137968512 is 11745.9998297293 -
The
cube root of 137968512 is 516.7256181549
Scales and comparisons
How big is 137968512?- 137,968,512 seconds is equal to 4 years, 20 weeks, 20 hours, 35 minutes, 12 seconds.
-
To count from 1 to 137,968,512 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 137968512 cubic inches would be around 43.1 feet tall.
Recreational maths with 137968512
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