138993984
138,993,984 is an even composite number composed of five prime numbers multiplied together.
138993984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 138993984:
26 × 32 × 29 × 53 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 29 × 53 × 157)See below for interesting mathematical facts about the number 138993984 from the Numbermatics database.
Names of 138993984
- Cardinal: 138993984 can be written as One hundred thirty-eight million, nine hundred ninety-three thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38993984 × 108
Factors of 138993984
Divisors of 138993984
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 53 58 64 72 87 96 106 116 144 157 159 174 192 212 232 261 288 314 318 348 424 464 471 477 522 576 628 636 696 848 928 942 954 1044 1256 1272 1392 1413 1537 1696 1856 1884 1908 2088 2512 2544 2784 2826 3074 3392 3768 3816 4176 4553 4611 5024 5088 5568 5652 6148 7536 7632 8321 8352 9106 9222 10048 10176 11304 12296 13659 13833 15072 15264 16642 16704 18212 18444 22608 24592 24963 27318 27666 30144 30528 33284 36424 36888 40977 45216 49184 49926 54636 55332 66568 72848 73776 74889 81954 90432 98368 99852 109272 110664 133136 145696 147552 149778 163908 199704 218544 221328 241309 266272 291392 295104 299556 327816 399408 437088 442656 482618 532544 599112 655632 723927 798816 874176 885312 965236 1198224 1311264 1447854 1597632 1930472 2171781 2396448 2622528 2895708 3860944 4343562 4792896 5791416 7721888 8687124 11582832 15443776 17374248 23165664 34748496 46331328 69496992 138993984
- Sum of all divisors σ(n): 422589960
- Sum of proper divisors (its aliquot sum) s(n): 283595976
- 138993984 is an abundant number, because the sum of its proper divisors (283595976) is greater than itself. Its abundance is 144601992
Bases of 138993984
- Binary: 10000100100011100001010000002
- Hexadecimal: 0x848E140
- Base-36: 2AR4G0
Squares and roots of 138993984
- 138993984 squared (1389939842) is 19319327588192256
- 138993984 cubed (1389939843) is 2685270309683953019387904
-
The
square root of 138993984 is 11789.5709845609 -
The
cube root of 138993984 is 518.0026733711
Scales and comparisons
How big is 138993984?- 138,993,984 seconds is equal to 4 years, 21 weeks, 5 days, 17 hours, 26 minutes, 24 seconds.
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To count from 1 to 138,993,984 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 138993984 cubic inches would be around 43.2 feet tall.
Recreational maths with 138993984
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