137232144
137,232,144 is an even composite number composed of four prime numbers multiplied together.
137232144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred fifty divisors.
Prime factorization of 137232144:
24 × 34 × 72 × 2161
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 2161)See below for interesting mathematical facts about the number 137232144 from the Numbermatics database.
Names of 137232144
- Cardinal: 137232144 can be written as One hundred thirty-seven million, two hundred thirty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37232144 × 108
Factors of 137232144
Divisors of 137232144
- Number of divisors d(n): 150
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2161 2268 2352 2646 3024 3528 3969 4322 4536 5292 6483 7056 7938 8644 9072 10584 12966 15127 15876 17288 19449 21168 25932 30254 31752 34576 38898 45381 51864 58347 60508 63504 77796 90762 103728 105889 116694 121016 136143 155592 175041 181524 211778 233388 242032 272286 311184 317667 350082 363048 408429 423556 466776 544572 635334 700164 726096 816858 847112 933552 953001 1089144 1225287 1270668 1400328 1633716 1694224 1906002 2178288 2450574 2541336 2800656 2859003 3267432 3812004 4901148 5082672 5718006 6534864 7624008 8577009 9802296 11436012 15248016 17154018 19604592 22872024 34308036 45744048 68616072 137232144
- Sum of all divisors σ(n): 462250734
- Sum of proper divisors (its aliquot sum) s(n): 325018590
- 137232144 is an abundant number, because the sum of its proper divisors (325018590) is greater than itself. Its abundance is 187786446
Bases of 137232144
- Binary: 10000010110111111111000100002
- Hexadecimal: 0x82DFF10
- Base-36: 29PD00
Squares and roots of 137232144
- 137232144 squared (1372321442) is 18832661346836736
- 137232144 cubed (1372321443) is 2584446493852332899241984
-
The
square root of 137232144 is 11714.6124135631 -
The
cube root of 137232144 is 515.8046854089
Scales and comparisons
How big is 137232144?- 137,232,144 seconds is equal to 4 years, 18 weeks, 6 days, 8 hours, 2 minutes, 24 seconds.
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To count from 1 to 137,232,144 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 137232144 cubic inches would be around 43 feet tall.
Recreational maths with 137232144
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