138304880
138,304,880 is an even composite number composed of five prime numbers multiplied together.
What does the number 138304880 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 80 divisors.
138304880 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 138304880:
24 × 5 × 7 × 491 × 503
(2 × 2 × 2 × 2 × 5 × 7 × 491 × 503)See below for interesting mathematical facts about the number 138304880 from the Numbermatics database.
Names of 138304880
- Cardinal: 138304880 can be written as One hundred thirty-eight million, three hundred four thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3830488 × 108
Factors of 138304880
Divisors of 138304880
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 491 503 560 982 1006 1964 2012 2455 2515 3437 3521 3928 4024 4910 5030 6874 7042 7856 8048 9820 10060 13748 14084 17185 17605 19640 20120 27496 28168 34370 35210 39280 40240 54992 56336 68740 70420 137480 140840 246973 274960 281680 493946 987892 1234865 1728811 1975784 2469730 3457622 3951568 4939460 6915244 8644055 9878920 13830488 17288110 19757840 27660976 34576220 69152440 138304880
- Sum of all divisors σ(n): 368976384
- Sum of proper divisors (its aliquot sum) s(n): 230671504
- 138304880 is an abundant number, because the sum of its proper divisors (230671504) is greater than itself. Its abundance is 92366624
Bases of 138304880
- Binary: 10000011111001011101011100002
- Hexadecimal: 0x83E5D70
- Base-36: 2ACCQ8
Squares and roots of 138304880
- 138304880 squared (1383048802) is 19128239831814400
- 138304880 cubed (1383048803) is 2645528914550310774272000
-
The
square root of 138304880 is 11760.3095197363 -
The
cube root of 138304880 is 517.1452039993
Scales and comparisons
How big is 138304880?- 138,304,880 seconds is equal to 4 years, 20 weeks, 4 days, 18 hours, 1 minute, 20 seconds.
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To count from 1 to 138,304,880 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 138304880 cubic inches would be around 43.1 feet tall.
Recreational maths with 138304880
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