138848960
138,848,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 138848960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 112 divisors.
138848960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 138848960:
26 × 5 × 19 × 41 × 557
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 19 × 41 × 557)See below for interesting mathematical facts about the number 138848960 from the Numbermatics database.
Names of 138848960
- Cardinal: 138848960 can be written as One hundred thirty-eight million, eight hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3884896 × 108
Factors of 138848960
Divisors of 138848960
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 152 160 164 190 205 304 320 328 380 410 557 608 656 760 779 820 1114 1216 1312 1520 1558 1640 2228 2624 2785 3040 3116 3280 3895 4456 5570 6080 6232 6560 7790 8912 10583 11140 12464 13120 15580 17824 21166 22280 22837 24928 31160 35648 42332 44560 45674 49856 52915 62320 84664 89120 91348 105830 114185 124640 169328 178240 182696 211660 228370 249280 338656 365392 423320 433903 456740 677312 730784 846640 867806 913480 1461568 1693280 1735612 1826960 2169515 3386560 3471224 3653920 4339030 6942448 7307840 8678060 13884896 17356120 27769792 34712240 69424480 138848960
- Sum of all divisors σ(n): 357164640
- Sum of proper divisors (its aliquot sum) s(n): 218315680
- 138848960 is an abundant number, because the sum of its proper divisors (218315680) is greater than itself. Its abundance is 79466720
Bases of 138848960
- Binary: 10000100011010101010110000002
- Hexadecimal: 0x846AAC0
- Base-36: 2AO0JK
Squares and roots of 138848960
- 138848960 squared (1388489602) is 19279033693081600
- 138848960 cubed (1388489603) is 2676873778089339355136000
-
The
square root of 138848960 is 11783.4188587185 -
The
cube root of 138848960 is 517.8224522327
Scales and comparisons
How big is 138848960?- 138,848,960 seconds is equal to 4 years, 21 weeks, 4 days, 1 hour, 9 minutes, 20 seconds.
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To count from 1 to 138,848,960 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 138848960 cubic inches would be around 43.2 feet tall.
Recreational maths with 138848960
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