138021312
138,021,312 is an even composite number composed of five prime numbers multiplied together.
138021312 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 138021312:
26 × 3 × 112 × 13 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 457)See below for interesting mathematical facts about the number 138021312 from the Numbermatics database.
Names of 138021312
- Cardinal: 138021312 can be written as One hundred thirty-eight million, twenty-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38021312 × 108
Factors of 138021312
Divisors of 138021312
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 121 132 143 156 176 192 208 242 264 286 312 352 363 416 429 457 484 528 572 624 704 726 832 858 914 968 1056 1144 1248 1371 1452 1573 1716 1828 1936 2112 2288 2496 2742 2904 3146 3432 3656 3872 4576 4719 5027 5484 5808 5941 6292 6864 7312 7744 9152 9438 10054 10968 11616 11882 12584 13728 14624 15081 17823 18876 20108 21936 23232 23764 25168 27456 29248 30162 35646 37752 40216 43872 47528 50336 55297 60324 65351 71292 75504 80432 87744 95056 100672 110594 120648 130702 142584 151008 160864 165891 190112 196053 221188 241296 261404 285168 302016 321728 331782 380224 392106 442376 482592 522808 570336 663564 718861 784212 884752 965184 1045616 1140672 1327128 1437722 1568424 1769504 2091232 2156583 2654256 2875444 3136848 3539008 4182464 4313166 5308512 5750888 6273696 8626332 10617024 11501776 12547392 17252664 23003552 34505328 46007104 69010656 138021312
- Sum of all divisors σ(n): 433220368
- Sum of proper divisors (its aliquot sum) s(n): 295199056
- 138021312 is an abundant number, because the sum of its proper divisors (295199056) is greater than itself. Its abundance is 157177744
Bases of 138021312
- Binary: 10000011101000001001110000002
- Hexadecimal: 0x83A09C0
- Base-36: 2A69XC
Squares and roots of 138021312
- 138021312 squared (1380213122) is 19049882566201344
- 138021312 cubed (1380213123) is 2629289785233036355043328
-
The
square root of 138021312 is 11748.2471884107 -
The
cube root of 138021312 is 516.7915260267
Scales and comparisons
How big is 138021312?- 138,021,312 seconds is equal to 4 years, 20 weeks, 1 day, 11 hours, 15 minutes, 12 seconds.
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To count from 1 to 138,021,312 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 138021312 cubic inches would be around 43.1 feet tall.
Recreational maths with 138021312
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