138385968
138,385,968 is an even composite number composed of six prime numbers multiplied together.
138385968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138385968:
24 × 3 × 7 × 19 × 53 × 409
(2 × 2 × 2 × 2 × 3 × 7 × 19 × 53 × 409)See below for interesting mathematical facts about the number 138385968 from the Numbermatics database.
Names of 138385968
- Cardinal: 138385968 can be written as One hundred thirty-eight million, three hundred eighty-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38385968 × 108
Factors of 138385968
Divisors of 138385968
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 53 56 57 76 84 106 112 114 133 152 159 168 212 228 266 304 318 336 371 399 409 424 456 532 636 742 798 818 848 912 1007 1064 1113 1227 1272 1484 1596 1636 2014 2128 2226 2454 2544 2863 2968 3021 3192 3272 4028 4452 4908 5726 5936 6042 6384 6544 7049 7771 8056 8589 8904 9816 11452 12084 14098 15542 16112 17178 17808 19632 21147 21677 22904 23313 24168 28196 31084 34356 42294 43354 45808 46626 48336 54397 56392 62168 65031 68712 84588 86708 93252 108794 112784 124336 130062 137424 151739 163191 169176 173416 186504 217588 260124 303478 326382 338352 346832 373008 411863 435176 455217 520248 606956 652764 823726 870352 910434 1040496 1213912 1235589 1305528 1647452 1820868 2427824 2471178 2611056 2883041 3294904 3641736 4942356 5766082 6589808 7283472 8649123 9884712 11532164 17298246 19769424 23064328 34596492 46128656 69192984 138385968
- Sum of all divisors σ(n): 439257600
- Sum of proper divisors (its aliquot sum) s(n): 300871632
- 138385968 is an abundant number, because the sum of its proper divisors (300871632) is greater than itself. Its abundance is 162485664
Bases of 138385968
- Binary: 10000011111110011010001100002
- Hexadecimal: 0x83F9A30
- Base-36: 2AE3AO
Squares and roots of 138385968
- 138385968 squared (1383859682) is 19150676139297024
- 138385968 cubed (1383859683) is 2650184855391121505759232
-
The
square root of 138385968 is 11763.7565428735 -
The
cube root of 138385968 is 517.2462514765
Scales and comparisons
How big is 138385968?- 138,385,968 seconds is equal to 4 years, 20 weeks, 5 days, 16 hours, 32 minutes, 48 seconds.
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To count from 1 to 138,385,968 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 138385968 cubic inches would be around 43.1 feet tall.
Recreational maths with 138385968
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