138204768
138,204,768 is an even composite number composed of six prime numbers multiplied together.
138204768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138204768:
25 × 3 × 13 × 37 × 41 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 37 × 41 × 73)See below for interesting mathematical facts about the number 138204768 from the Numbermatics database.
Names of 138204768
- Cardinal: 138204768 can be written as One hundred thirty-eight million, two hundred four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38204768 × 108
Factors of 138204768
Divisors of 138204768
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 37 39 41 48 52 73 74 78 82 96 104 111 123 146 148 156 164 208 219 222 246 292 296 312 328 416 438 444 481 492 533 584 592 624 656 876 888 949 962 984 1066 1168 1184 1248 1312 1443 1517 1599 1752 1776 1898 1924 1968 2132 2336 2701 2847 2886 2993 3034 3198 3504 3552 3796 3848 3936 4264 4551 5402 5694 5772 5986 6068 6396 7008 7592 7696 8103 8528 8979 9102 10804 11388 11544 11972 12136 12792 15184 15392 16206 17056 17958 18204 19721 21608 22776 23088 23944 24272 25584 30368 32412 35113 35916 36408 38909 39442 43216 45552 46176 47888 48544 51168 59163 64824 70226 71832 72816 77818 78884 86432 91104 95776 105339 110741 116727 118326 129648 140452 143664 145632 155636 157768 210678 221482 233454 236652 259296 280904 287328 311272 315536 332223 421356 442964 466908 473304 561808 622544 631072 664446 842712 885928 933816 946608 1123616 1245088 1328892 1439633 1685424 1771856 1867632 1893216 2657784 2879266 3370848 3543712 3735264 4318899 5315568 5758532 8637798 10631136 11517064 17275596 23034128 34551192 46068256 69102384 138204768
- Sum of all divisors σ(n): 416670912
- Sum of proper divisors (its aliquot sum) s(n): 278466144
- 138204768 is an abundant number, because the sum of its proper divisors (278466144) is greater than itself. Its abundance is 140261376
Bases of 138204768
- Binary: 10000011110011010110011000002
- Hexadecimal: 0x83CD660
- Base-36: 2AA7HC
Squares and roots of 138204768
- 138204768 squared (1382047682) is 19100557897933824
- 138204768 cubed (1382047683) is 2639788172954511825272832
-
The
square root of 138204768 is 11756.0523986583 -
The
cube root of 138204768 is 517.0203953459
Scales and comparisons
How big is 138204768?- 138,204,768 seconds is equal to 4 years, 20 weeks, 3 days, 14 hours, 12 minutes, 48 seconds.
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To count from 1 to 138,204,768 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 138204768 cubic inches would be around 43.1 feet tall.
Recreational maths with 138204768
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