138919200
138,919,200 is an even composite number composed of five prime numbers multiplied together.
138919200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138919200:
25 × 3 × 52 × 7 × 8269
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 8269)See below for interesting mathematical facts about the number 138919200 from the Numbermatics database.
Names of 138919200
- Cardinal: 138919200 can be written as One hundred thirty-eight million, nine hundred nineteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.389192 × 108
Factors of 138919200
Divisors of 138919200
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8269 8400 16538 16800 24807 33076 41345 49614 57883 66152 82690 99228 115766 124035 132304 165380 173649 198456 206725 231532 248070 264608 289415 330760 347298 396912 413450 463064 496140 578830 620175 661520 694596 793824 826900 868245 926128 992280 1157660 1240350 1323040 1389192 1447075 1653800 1736490 1852256 1984560 2315320 2480700 2778384 2894150 3307600 3472980 3969120 4341225 4630640 4961400 5556768 5788300 6615200 6945960 8682450 9261280 9922800 11576600 13891920 17364900 19845600 23153200 27783840 34729800 46306400 69459600 138919200
- Sum of all divisors σ(n): 516841920
- Sum of proper divisors (its aliquot sum) s(n): 377922720
- 138919200 is an abundant number, because the sum of its proper divisors (377922720) is greater than itself. Its abundance is 239003520
Bases of 138919200
- Binary: 10000100011110111101001000002
- Hexadecimal: 0x847BD20
- Base-36: 2APIQO
Squares and roots of 138919200
- 138919200 squared (1389192002) is 19298544128640000
- 138919200 cubed (1389192003) is 2680938311515365888000000
-
The
square root of 138919200 is 11786.3989411525 -
The
cube root of 138919200 is 517.9097550533
Scales and comparisons
How big is 138919200?- 138,919,200 seconds is equal to 4 years, 21 weeks, 4 days, 20 hours, 40 minutes.
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To count from 1 to 138,919,200 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 138919200 cubic inches would be around 43.2 feet tall.
Recreational maths with 138919200
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The information we have on file for 138919200 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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