138400384
138,400,384 is an even composite number composed of four prime numbers multiplied together.
138400384 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 138400384:
27 × 23 × 53 × 887
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 23 × 53 × 887)See below for interesting mathematical facts about the number 138400384 from the Numbermatics database.
Names of 138400384
- Cardinal: 138400384 can be written as One hundred thirty-eight million, four hundred thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.38400384 × 108
Factors of 138400384
Divisors of 138400384
- Number of divisors d(n): 64
-
Complete list of divisors:
1 2 4 8 16 23 32 46 53 64 92 106 128 184 212 368 424 736 848 887 1219 1472 1696 1774 2438 2944 3392 3548 4876 6784 7096 9752 14192 19504 20401 28384 39008 40802 47011 56768 78016 81604 94022 113536 156032 163208 188044 326416 376088 652832 752176 1081253 1305664 1504352 2162506 2611328 3008704 4325012 6017408 8650024 17300048 34600096 69200192 138400384
- Sum of all divisors σ(n): 293466240
- Sum of proper divisors (its aliquot sum) s(n): 155065856
- 138400384 is an abundant number, because the sum of its proper divisors (155065856) is greater than itself. Its abundance is 16665472
Bases of 138400384
- Binary: 10000011111111010010100000002
- Hexadecimal: 0x83FD280
- Base-36: 2AEEF4
Squares and roots of 138400384
- 138400384 squared (1384003842) is 19154666291347456
- 138400384 cubed (1384003843) is 2651013170114343787823104
-
The
square root of 138400384 is 11764.3692563605 -
The
cube root of 138400384 is 517.2642117827
Scales and comparisons
How big is 138400384?- 138,400,384 seconds is equal to 4 years, 20 weeks, 5 days, 20 hours, 33 minutes, 4 seconds.
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To count from 1 to 138,400,384 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 138400384 cubic inches would be around 43.1 feet tall.
Recreational maths with 138400384
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