138297312
138,297,312 is an even composite number composed of five prime numbers multiplied together.
What does the number 138297312 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
138297312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138297312:
25 × 32 × 17 × 47 × 601
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 47 × 601)See below for interesting mathematical facts about the number 138297312 from the Numbermatics database.
Names of 138297312
- Cardinal: 138297312 can be written as One hundred thirty-eight million, two hundred ninety-seven thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38297312 × 108
Factors of 138297312
Divisors of 138297312
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 47 48 51 68 72 94 96 102 136 141 144 153 188 204 272 282 288 306 376 408 423 544 564 601 612 752 799 816 846 1128 1202 1224 1504 1598 1632 1692 1803 2256 2397 2404 2448 3196 3384 3606 4512 4794 4808 4896 5409 6392 6768 7191 7212 9588 9616 10217 10818 12784 13536 14382 14424 19176 19232 20434 21636 25568 28247 28764 28848 30651 38352 40868 43272 56494 57528 57696 61302 76704 81736 84741 86544 91953 112988 115056 122604 163472 169482 173088 183906 225976 230112 245208 254223 326944 338964 367812 451952 480199 490416 508446 677928 735624 903904 960398 980832 1016892 1355856 1440597 1471248 1920796 2033784 2711712 2881194 2942496 3841592 4067568 4321791 5762388 7683184 8135136 8643582 11524776 15366368 17287164 23049552 34574328 46099104 69148656 138297312
- Sum of all divisors σ(n): 425984832
- Sum of proper divisors (its aliquot sum) s(n): 287687520
- 138297312 is an abundant number, because the sum of its proper divisors (287687520) is greater than itself. Its abundance is 149390208
Bases of 138297312
- Binary: 10000011111000111111111000002
- Hexadecimal: 0x83E3FE0
- Base-36: 2AC6W0
Squares and roots of 138297312
- 138297312 squared (1382973122) is 19126146506425344
- 138297312 cubed (1382973123) is 2645094650756815803875328
-
The
square root of 138297312 is 11759.9877550957 -
The
cube root of 138297312 is 517.1357711525
Scales and comparisons
How big is 138297312?- 138,297,312 seconds is equal to 4 years, 20 weeks, 4 days, 15 hours, 55 minutes, 12 seconds.
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To count from 1 to 138,297,312 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 138297312 cubic inches would be around 43.1 feet tall.
Recreational maths with 138297312
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