137653152
137,653,152 is an even composite number composed of five prime numbers multiplied together.
137653152 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 137653152:
25 × 3 × 72 × 13 × 2251
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 2251)See below for interesting mathematical facts about the number 137653152 from the Numbermatics database.
Names of 137653152
- Cardinal: 137653152 can be written as One hundred thirty-seven million, six hundred fifty-three thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.37653152 × 108
Factors of 137653152
Divisors of 137653152
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2251 2352 2548 2912 3822 4368 4502 4704 5096 6753 7644 8736 9004 10192 13506 15288 15757 18008 20384 27012 29263 30576 31514 36016 47271 54024 58526 61152 63028 72032 87789 94542 108048 110299 117052 126056 175578 189084 204841 216096 220598 234104 252112 330897 351156 378168 409682 441196 468208 504224 614523 661794 702312 756336 819364 882392 936416 1229046 1323588 1404624 1433887 1512672 1638728 1764784 2458092 2647176 2809248 2867774 3277456 3529568 4301661 4916184 5294352 5735548 6554912 8603322 9832368 10588704 11471096 17206644 19664736 22942192 34413288 45884384 68826576 137653152
- Sum of all divisors σ(n): 452868192
- Sum of proper divisors (its aliquot sum) s(n): 315215040
- 137653152 is an abundant number, because the sum of its proper divisors (315215040) is greater than itself. Its abundance is 177561888
Bases of 137653152
- Binary: 10000011010001101011101000002
- Hexadecimal: 0x8346BA0
- Base-36: 29YDUO
Squares and roots of 137653152
- 137653152 squared (1376531522) is 18948390255535104
- 137653152 cubed (1376531523) is 2608305644000492512247808
-
The
square root of 137653152 is 11732.5680053431 -
The
cube root of 137653152 is 516.3316178531
Scales and comparisons
How big is 137653152?- 137,653,152 seconds is equal to 4 years, 19 weeks, 4 days, 4 hours, 59 minutes, 12 seconds.
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To count from 1 to 137,653,152 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 137653152 cubic inches would be around 43 feet tall.
Recreational maths with 137653152
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