138386304
138,386,304 is an even composite number composed of four prime numbers multiplied together.
138386304 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138386304:
27 × 32 × 7 × 1312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 131 × 131)See below for interesting mathematical facts about the number 138386304 from the Numbermatics database.
Names of 138386304
- Cardinal: 138386304 can be written as One hundred thirty-eight million, three hundred eighty-six thousand, three hundred four.
Scientific notation
- Scientific notation: 1.38386304 × 108
Factors of 138386304
Divisors of 138386304
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 131 144 168 192 224 252 262 288 336 384 393 448 504 524 576 672 786 896 917 1008 1048 1152 1179 1344 1572 1834 2016 2096 2358 2688 2751 3144 3668 4032 4192 4716 5502 6288 7336 8064 8253 8384 9432 11004 12576 14672 16506 16768 17161 18864 22008 25152 29344 33012 34322 37728 44016 50304 51483 58688 66024 68644 75456 88032 102966 117376 120127 132048 137288 150912 154449 176064 205932 240254 264096 274576 308898 352128 360381 411864 480508 528192 549152 617796 720762 823728 961016 1056384 1081143 1098304 1235592 1441524 1647456 1922032 2162286 2196608 2471184 2883048 3294912 3844064 4324572 4942368 5766096 6589824 7688128 8649144 9884736 11532192 15376256 17298288 19769472 23064384 34596576 46128768 69193152 138386304
- Sum of all divisors σ(n): 458610360
- Sum of proper divisors (its aliquot sum) s(n): 320224056
- 138386304 is an abundant number, because the sum of its proper divisors (320224056) is greater than itself. Its abundance is 181837752
Bases of 138386304
- Binary: 10000011111110011011100000002
- Hexadecimal: 0x83F9B80
- Base-36: 2AE3K0
Squares and roots of 138386304
- 138386304 squared (1383863042) is 19150769134780416
- 138386304 cubed (1383863043) is 2650204159319539621822464
-
The
square root of 138386304 is 11763.7708240173 -
The
cube root of 138386304 is 517.2466700995
Scales and comparisons
How big is 138386304?- 138,386,304 seconds is equal to 4 years, 20 weeks, 5 days, 16 hours, 38 minutes, 24 seconds.
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To count from 1 to 138,386,304 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 138386304 cubic inches would be around 43.1 feet tall.
Recreational maths with 138386304
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