138768768
138,768,768 is an even composite number composed of three prime numbers multiplied together.
What does the number 138768768 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 64 divisors.
138768768 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 138768768:
27 × 33 × 40153
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 40153)See below for interesting mathematical facts about the number 138768768 from the Numbermatics database.
Names of 138768768
- Cardinal: 138768768 can be written as One hundred thirty-eight million, seven hundred sixty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38768768 × 108
Factors of 138768768
Divisors of 138768768
- Number of divisors d(n): 64
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 40153 80306 120459 160612 240918 321224 361377 481836 642448 722754 963672 1084131 1284896 1445508 1927344 2168262 2569792 2891016 3854688 4336524 5139584 5782032 7709376 8673048 11564064 15418752 17346096 23128128 34692192 46256256 69384384 138768768
- Sum of all divisors σ(n): 409570800
- Sum of proper divisors (its aliquot sum) s(n): 270802032
- 138768768 is an abundant number, because the sum of its proper divisors (270802032) is greater than itself. Its abundance is 132033264
Bases of 138768768
- Binary: 10000100010101110001100000002
- Hexadecimal: 0x8457180
- Base-36: 2AMAO0
Squares and roots of 138768768
- 138768768 squared (1387687682) is 19256770972237824
- 138768768 cubed (1387687683) is 2672238383475605039480832
-
The
square root of 138768768 is 11780.0156196841 -
The
cube root of 138768768 is 517.7227438517
Scales and comparisons
How big is 138768768?- 138,768,768 seconds is equal to 4 years, 21 weeks, 3 days, 2 hours, 52 minutes, 48 seconds.
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To count from 1 to 138,768,768 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 138768768 cubic inches would be around 43.1 feet tall.
Recreational maths with 138768768
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The information we have on file for 138768768 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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