137922144
137,922,144 is an even composite number composed of five prime numbers multiplied together.
137922144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 137922144:
25 × 3 × 29 × 107 × 463
(2 × 2 × 2 × 2 × 2 × 3 × 29 × 107 × 463)See below for interesting mathematical facts about the number 137922144 from the Numbermatics database.
Names of 137922144
- Cardinal: 137922144 can be written as One hundred thirty-seven million, nine hundred twenty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37922144 × 108
Factors of 137922144
Divisors of 137922144
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 107 116 174 214 232 321 348 428 463 464 642 696 856 926 928 1284 1389 1392 1712 1852 2568 2778 2784 3103 3424 3704 5136 5556 6206 7408 9309 10272 11112 12412 13427 14816 18618 22224 24824 26854 37236 40281 44448 49541 49648 53708 74472 80562 99082 99296 107416 148623 148944 161124 198164 214832 297246 297888 322248 396328 429664 594492 644496 792656 1188984 1288992 1436689 1585312 2377968 2873378 4310067 4755936 5746756 8620134 11493512 17240268 22987024 34480536 45974048 68961072 137922144
- Sum of all divisors σ(n): 378846720
- Sum of proper divisors (its aliquot sum) s(n): 240924576
- 137922144 is an abundant number, because the sum of its proper divisors (240924576) is greater than itself. Its abundance is 103002432
Bases of 137922144
- Binary: 10000011100010000110011000002
- Hexadecimal: 0x8388660
- Base-36: 2A45EO
Squares and roots of 137922144
- 137922144 squared (1379221442) is 19022517805556736
- 137922144 cubed (1379221443) is 2623626440020560142761984
-
The
square root of 137922144 is 11744.0258855299 -
The
cube root of 137922144 is 516.6677251915
Scales and comparisons
How big is 137922144?- 137,922,144 seconds is equal to 4 years, 20 weeks, 7 hours, 42 minutes, 24 seconds.
-
To count from 1 to 137,922,144 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 137922144 cubic inches would be around 43.1 feet tall.
Recreational maths with 137922144
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The information we have on file for 137922144 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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