138398976
138,398,976 is an even composite number composed of three prime numbers multiplied together.
138398976 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 138398976:
28 × 33 × 20023
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 20023)See below for interesting mathematical facts about the number 138398976 from the Numbermatics database.
Names of 138398976
- Cardinal: 138398976 can be written as One hundred thirty-eight million, three hundred ninety-eight thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38398976 × 108
Factors of 138398976
Divisors of 138398976
- Number of divisors d(n): 72
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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 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 20023 40046 60069 80092 120138 160184 180207 240276 320368 360414 480552 540621 640736 720828 961104 1081242 1281472 1441656 1922208 2162484 2562944 2883312 3844416 4324968 5125888 5766624 7688832 8649936 11533248 15377664 17299872 23066496 34599744 46132992 69199488 138398976
- Sum of all divisors σ(n): 409290560
- Sum of proper divisors (its aliquot sum) s(n): 270891584
- 138398976 is an abundant number, because the sum of its proper divisors (270891584) is greater than itself. Its abundance is 132492608
Bases of 138398976
- Binary: 10000011111111001101000000002
- Hexadecimal: 0x83FCD00
- Base-36: 2AEDC0
Squares and roots of 138398976
- 138398976 squared (1383989762) is 19154276557848576
- 138398976 cubed (1383989763) is 2650932261627047681458176
-
The
square root of 138398976 is 11764.3094144961 -
The
cube root of 138398976 is 517.2624576679
Scales and comparisons
How big is 138398976?- 138,398,976 seconds is equal to 4 years, 20 weeks, 5 days, 20 hours, 9 minutes, 36 seconds.
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To count from 1 to 138,398,976 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 138398976 cubic inches would be around 43.1 feet tall.
Recreational maths with 138398976
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