138138648
138,138,648 is an even composite number composed of five prime numbers multiplied together.
138138648 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 138138648:
23 × 3 × 61 × 157 × 601
(2 × 2 × 2 × 3 × 61 × 157 × 601)See below for interesting mathematical facts about the number 138138648 from the Numbermatics database.
Names of 138138648
- Cardinal: 138138648 can be written as One hundred thirty-eight million, one hundred thirty-eight thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38138648 × 108
Factors of 138138648
Divisors of 138138648
- Number of divisors d(n): 64
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Complete list of divisors:
1 2 3 4 6 8 12 24 61 122 157 183 244 314 366 471 488 601 628 732 942 1202 1256 1464 1803 1884 2404 3606 3768 4808 7212 9577 14424 19154 28731 36661 38308 57462 73322 76616 94357 109983 114924 146644 188714 219966 229848 283071 293288 377428 439932 566142 754856 879864 1132284 2264568 5755777 11511554 17267331 23023108 34534662 46046216 69069324 138138648
- Sum of all divisors σ(n): 353831520
- Sum of proper divisors (its aliquot sum) s(n): 215692872
- 138138648 is an abundant number, because the sum of its proper divisors (215692872) is greater than itself. Its abundance is 77554224
Bases of 138138648
- Binary: 10000011101111010100000110002
- Hexadecimal: 0x83BD418
- Base-36: 2A8SGO
Squares and roots of 138138648
- 138138648 squared (1381386482) is 19082286071267904
- 138138648 cubed (1381386483) is 2636001198634179904353792
-
The
square root of 138138648 is 11753.2398937485 -
The
cube root of 138138648 is 516.9379311343
Scales and comparisons
How big is 138138648?- 138,138,648 seconds is equal to 4 years, 20 weeks, 2 days, 19 hours, 50 minutes, 48 seconds.
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To count from 1 to 138,138,648 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 138138648 cubic inches would be around 43.1 feet tall.
Recreational maths with 138138648
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