138405168
138,405,168 is an even composite number composed of six prime numbers multiplied together.
138405168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138405168:
24 × 32 × 11 × 23 × 29 × 131
(2 × 2 × 2 × 2 × 3 × 3 × 11 × 23 × 29 × 131)See below for interesting mathematical facts about the number 138405168 from the Numbermatics database.
Names of 138405168
- Cardinal: 138405168 can be written as One hundred thirty-eight million, four hundred five thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38405168 × 108
Factors of 138405168
Divisors of 138405168
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 23 24 29 33 36 44 46 48 58 66 69 72 87 88 92 99 116 131 132 138 144 174 176 184 198 207 232 253 261 262 264 276 319 348 368 393 396 414 464 506 522 524 528 552 638 667 696 759 786 792 828 957 1012 1044 1048 1104 1179 1276 1334 1392 1441 1518 1572 1584 1656 1914 2001 2024 2088 2096 2277 2358 2552 2668 2871 2882 3013 3036 3144 3312 3799 3828 4002 4048 4176 4323 4554 4716 5104 5336 5742 5764 6003 6026 6072 6288 7337 7598 7656 8004 8646 9039 9108 9432 10672 11397 11484 11528 12006 12052 12144 12969 14674 15196 15312 16008 17292 18078 18216 18864 22011 22794 22968 23056 24012 24104 25938 27117 29348 30392 32016 33143 34191 34584 36156 36432 41789 44022 45588 45936 48024 48208 51876 54234 58696 60784 66033 66286 68382 69168 72312 83578 87377 88044 91176 96048 99429 103752 108468 117392 125367 132066 132572 136764 144624 167156 174754 176088 182352 198858 207504 216936 250734 262131 264132 265144 273528 298287 334312 349508 352176 376101 397716 433872 501468 524262 528264 530288 547056 596574 668624 699016 752202 786393 795432 961147 1002936 1048524 1056528 1193148 1398032 1504404 1572786 1590864 1922294 2005872 2097048 2386296 2883441 3008808 3145572 3844588 4194096 4772592 5766882 6017616 6291144 7689176 8650323 11533764 12582288 15378352 17300646 23067528 34601292 46135056 69202584 138405168
- Sum of all divisors σ(n): 459613440
- Sum of proper divisors (its aliquot sum) s(n): 321208272
- 138405168 is an abundant number, because the sum of its proper divisors (321208272) is greater than itself. Its abundance is 182803104
Bases of 138405168
- Binary: 10000011111111100101001100002
- Hexadecimal: 0x83FE530
- Base-36: 2AEI40
Squares and roots of 138405168
- 138405168 squared (1384051682) is 19155990529108224
- 138405168 cubed (1384051683) is 2651288087387632632901632
-
The
square root of 138405168 is 11764.5725804213 -
The
cube root of 138405168 is 517.2701716975
Scales and comparisons
How big is 138405168?- 138,405,168 seconds is equal to 4 years, 20 weeks, 5 days, 21 hours, 52 minutes, 48 seconds.
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To count from 1 to 138,405,168 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 138405168 cubic inches would be around 43.1 feet tall.
Recreational maths with 138405168
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The information we have on file for 138405168 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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