137993284
137,993,284 is an even composite number composed of six prime numbers multiplied together.
137993284 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 137993284:
22 × 11 × 13 × 17 × 23 × 617
(2 × 2 × 11 × 13 × 17 × 23 × 617)See below for interesting mathematical facts about the number 137993284 from the Numbermatics database.
Names of 137993284
- Cardinal: 137993284 can be written as One hundred thirty-seven million, nine hundred ninety-three thousand, two hundred eighty-four.
Scientific notation
- Scientific notation: 1.37993284 × 108
Factors of 137993284
Divisors of 137993284
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 4 11 13 17 22 23 26 34 44 46 52 68 92 143 187 221 253 286 299 374 391 442 506 572 598 617 748 782 884 1012 1196 1234 1564 2431 2468 3289 4301 4862 5083 6578 6787 8021 8602 9724 10166 10489 13156 13574 14191 16042 17204 20332 20978 27148 28382 32084 41956 55913 56764 88231 111826 115379 136357 156101 176462 184483 223652 230758 241247 272714 312202 352924 368966 461516 482494 545428 624404 737932 964988 1499927 2029313 2653717 2999854 3136211 4058626 5307434 5999708 6272422 8117252 10614868 12544844 34498321 68996642 137993284
- Sum of all divisors σ(n): 313963776
- Sum of proper divisors (its aliquot sum) s(n): 175970492
- 137993284 is an abundant number, because the sum of its proper divisors (175970492) is greater than itself. Its abundance is 37977208
Bases of 137993284
- Binary: 10000011100110011100010001002
- Hexadecimal: 0x8399C44
- Base-36: 2A5OAS
Squares and roots of 137993284
- 137993284 squared (1379932842) is 19042146429104656
- 137993284 cubed (1379932843) is 2627688320161024661130304
-
The
square root of 137993284 is 11747.0542690497 -
The
cube root of 137993284 is 516.7565420251
Scales and comparisons
How big is 137993284?- 137,993,284 seconds is equal to 4 years, 20 weeks, 1 day, 3 hours, 28 minutes, 4 seconds.
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To count from 1 to 137,993,284 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 137993284 cubic inches would be around 43.1 feet tall.
Recreational maths with 137993284
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