138315200
138,315,200 is an even composite number composed of four prime numbers multiplied together.
138315200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 138315200:
26 × 52 × 137 × 631
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 137 × 631)See below for interesting mathematical facts about the number 138315200 from the Numbermatics database.
Names of 138315200
- Cardinal: 138315200 can be written as One hundred thirty-eight million, three hundred fifteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.383152 × 108
Factors of 138315200
Divisors of 138315200
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 137 160 200 274 320 400 548 631 685 800 1096 1262 1370 1600 2192 2524 2740 3155 3425 4384 5048 5480 6310 6850 8768 10096 10960 12620 13700 15775 20192 21920 25240 27400 31550 40384 43840 50480 54800 63100 86447 100960 109600 126200 172894 201920 219200 252400 345788 432235 504800 691576 864470 1009600 1383152 1728940 2161175 2766304 3457880 4322350 5532608 6915760 8644700 13831520 17289400 27663040 34578800 69157600 138315200
- Sum of all divisors σ(n): 343369392
- Sum of proper divisors (its aliquot sum) s(n): 205054192
- 138315200 is an abundant number, because the sum of its proper divisors (205054192) is greater than itself. Its abundance is 66738992
Bases of 138315200
- Binary: 10000011111010000101110000002
- Hexadecimal: 0x83E85C0
- Base-36: 2ACKOW
Squares and roots of 138315200
- 138315200 squared (1383152002) is 19131094551040000
- 138315200 cubed (1383152003) is 2646121169046007808000000
-
The
square root of 138315200 is 11760.7482755137 -
The
cube root of 138315200 is 517.1580664181
Scales and comparisons
How big is 138315200?- 138,315,200 seconds is equal to 4 years, 20 weeks, 4 days, 20 hours, 53 minutes, 20 seconds.
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To count from 1 to 138,315,200 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 138315200 cubic inches would be around 43.1 feet tall.
Recreational maths with 138315200
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The information we have on file for 138315200 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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