138219120
138,219,120 is an even composite number composed of five prime numbers multiplied together.
138219120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 138219120:
24 × 32 × 5 × 13 × 14767
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 14767)See below for interesting mathematical facts about the number 138219120 from the Numbermatics database.
Names of 138219120
- Cardinal: 138219120 can be written as One hundred thirty-eight million, two hundred nineteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3821912 × 108
Factors of 138219120
Divisors of 138219120
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 14767 29534 44301 59068 73835 88602 118136 132903 147670 177204 191971 221505 236272 265806 295340 354408 383942 443010 531612 575913 590680 664515 708816 767884 886020 959855 1063224 1151826 1181360 1329030 1535768 1727739 1772040 1919710 2126448 2303652 2658060 2879565 3071536 3455478 3544080 3839420 4607304 5316120 5759130 6910956 7678840 8638695 9214608 10632240 11518260 13821912 15357680 17277390 23036520 27643824 34554780 46073040 69109560 138219120
- Sum of all divisors σ(n): 499926336
- Sum of proper divisors (its aliquot sum) s(n): 361707216
- 138219120 is an abundant number, because the sum of its proper divisors (361707216) is greater than itself. Its abundance is 223488096
Bases of 138219120
- Binary: 10000011110100001110011100002
- Hexadecimal: 0x83D0E70
- Base-36: 2AAIK0
Squares and roots of 138219120
- 138219120 squared (1382191202) is 19104525133574400
- 138219120 cubed (1382191203) is 2640610651980536022528000
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The
square root of 138219120 is 11756.6627917957 -
The
cube root of 138219120 is 517.0382915443
Scales and comparisons
How big is 138219120?- 138,219,120 seconds is equal to 4 years, 20 weeks, 3 days, 18 hours, 12 minutes.
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To count from 1 to 138,219,120 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 138219120 cubic inches would be around 43.1 feet tall.
Recreational maths with 138219120
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