138742128
138,742,128 is an even composite number composed of four prime numbers multiplied together.
138742128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 138742128:
24 × 32 × 73 × 532
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 53 × 53)See below for interesting mathematical facts about the number 138742128 from the Numbermatics database.
Names of 138742128
- Cardinal: 138742128 can be written as One hundred thirty-eight million, seven hundred forty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38742128 × 108
Factors of 138742128
Divisors of 138742128
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 53 56 63 72 84 98 106 112 126 144 147 159 168 196 212 252 294 318 336 343 371 392 424 441 477 504 588 636 686 742 784 848 882 954 1008 1029 1113 1176 1272 1372 1484 1764 1908 2058 2226 2352 2544 2597 2744 2809 2968 3087 3339 3528 3816 4116 4452 5194 5488 5618 5936 6174 6678 7056 7632 7791 8232 8427 8904 10388 11236 12348 13356 15582 16464 16854 17808 18179 19663 20776 22472 23373 24696 25281 26712 31164 33708 36358 39326 41552 44944 46746 49392 50562 53424 54537 58989 62328 67416 72716 78652 93492 101124 109074 117978 124656 134832 137641 145432 157304 163611 176967 186984 202248 218148 235956 275282 290864 314608 327222 353934 373968 404496 412923 436296 471912 550564 654444 707868 825846 872592 943824 963487 1101128 1238769 1308888 1415736 1651692 1926974 2202256 2477538 2617776 2831472 2890461 3303384 3853948 4955076 5780922 6606768 7707896 8671383 9910152 11561844 15415792 17342766 19820304 23123688 34685532 46247376 69371064 138742128
- Sum of all divisors σ(n): 461515600
- Sum of proper divisors (its aliquot sum) s(n): 322773472
- 138742128 is an abundant number, because the sum of its proper divisors (322773472) is greater than itself. Its abundance is 184031344
Bases of 138742128
- Binary: 10000100010100001001011100002
- Hexadecimal: 0x8450970
- Base-36: 2ALQ40
Squares and roots of 138742128
- 138742128 squared (1387421282) is 19249378081968384
- 138742128 cubed (1387421283) is 2670699677768852024881152
-
The
square root of 138742128 is 11778.8848368595 -
The
cube root of 138742128 is 517.6896119571
Scales and comparisons
How big is 138742128?- 138,742,128 seconds is equal to 4 years, 21 weeks, 2 days, 19 hours, 28 minutes, 48 seconds.
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To count from 1 to 138,742,128 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 138742128 cubic inches would be around 43.1 feet tall.
Recreational maths with 138742128
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