138828624
138,828,624 is an even composite number composed of five prime numbers multiplied together.
138828624 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138828624:
24 × 3 × 113 × 41 × 53
(2 × 2 × 2 × 2 × 3 × 11 × 11 × 11 × 41 × 53)See below for interesting mathematical facts about the number 138828624 from the Numbermatics database.
Names of 138828624
- Cardinal: 138828624 can be written as One hundred thirty-eight million, eight hundred twenty-eight thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.38828624 × 108
Factors of 138828624
Divisors of 138828624
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 53 66 82 88 106 121 123 132 159 164 176 212 242 246 264 318 328 363 424 451 484 492 528 583 636 656 726 848 902 968 984 1166 1272 1331 1353 1452 1749 1804 1936 1968 2173 2332 2544 2662 2706 2904 3498 3608 3993 4346 4664 4961 5324 5412 5808 6413 6519 6996 7216 7986 8692 9328 9922 10648 10824 12826 13038 13992 14883 15972 17384 19239 19844 21296 21648 23903 25652 26076 27984 29766 31944 34768 38478 39688 47806 51304 52152 54571 59532 63888 70543 71709 76956 79376 95612 102608 104304 109142 119064 141086 143418 153912 163713 191224 211629 218284 238128 262933 282172 286836 307824 327426 382448 423258 436568 525866 564344 573672 654852 788799 846516 873136 1051732 1128688 1147344 1309704 1577598 1693032 2103464 2619408 2892263 3155196 3386064 4206928 5784526 6310392 8676789 11569052 12620784 17353578 23138104 34707156 46276208 69414312 138828624
- Sum of all divisors σ(n): 411723648
- Sum of proper divisors (its aliquot sum) s(n): 272895024
- 138828624 is an abundant number, because the sum of its proper divisors (272895024) is greater than itself. Its abundance is 134066400
Bases of 138828624
- Binary: 10000100011001011011010100002
- Hexadecimal: 0x8465B50
- Base-36: 2ANKUO
Squares and roots of 138828624
- 138828624 squared (1388286242) is 19273386841733376
- 138828624 cubed (1388286243) is 2675697775057550364954624
-
The
square root of 138828624 is 11782.5559196637 -
The
cube root of 138828624 is 517.7971706807
Scales and comparisons
How big is 138828624?- 138,828,624 seconds is equal to 4 years, 21 weeks, 3 days, 19 hours, 30 minutes, 24 seconds.
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To count from 1 to 138,828,624 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 138828624 cubic inches would be around 43.1 feet tall.
Recreational maths with 138828624
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