137089728
137,089,728 is an even composite number composed of four prime numbers multiplied together.
137089728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-six divisors.
Prime factorization of 137089728:
26 × 32 × 292 × 283
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 29 × 29 × 283)See below for interesting mathematical facts about the number 137089728 from the Numbermatics database.
Names of 137089728
- Cardinal: 137089728 can be written as One hundred thirty-seven million, eighty-nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37089728 × 108
Factors of 137089728
Divisors of 137089728
- Number of divisors d(n): 126
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 283 288 348 464 522 566 576 696 841 849 928 1044 1132 1392 1682 1698 1856 2088 2264 2523 2547 2784 3364 3396 4176 4528 5046 5094 5568 6728 6792 7569 8207 8352 9056 10092 10188 13456 13584 15138 16414 16704 18112 20184 20376 24621 26912 27168 30276 32828 40368 40752 49242 53824 54336 60552 65656 73863 80736 81504 98484 121104 131312 147726 161472 163008 196968 238003 242208 262624 295452 393936 476006 484416 525248 590904 714009 787872 952012 1181808 1428018 1575744 1904024 2142027 2363616 2856036 3808048 4284054 4727232 5712072 7616096 8568108 11424144 15232192 17136216 22848288 34272432 45696576 68544864 137089728
- Sum of all divisors σ(n): 408397964
- Sum of proper divisors (its aliquot sum) s(n): 271308236
- 137089728 is an abundant number, because the sum of its proper divisors (271308236) is greater than itself. Its abundance is 134218508
Bases of 137089728
- Binary: 10000010101111010010110000002
- Hexadecimal: 0x82BD2C0
- Base-36: 29MB40
Squares and roots of 137089728
- 137089728 squared (1370897282) is 18793593523113984
- 137089728 cubed (1370897283) is 2576408624226257779556352
-
The
square root of 137089728 is 11708.5322735175 -
The
cube root of 137089728 is 515.6261940247
Scales and comparisons
How big is 137089728?- 137,089,728 seconds is equal to 4 years, 18 weeks, 4 days, 16 hours, 28 minutes, 48 seconds.
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To count from 1 to 137,089,728 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 137089728 cubic inches would be around 43 feet tall.
Recreational maths with 137089728
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The information we have on file for 137089728 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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