138518016
138,518,016 is an even composite number composed of five prime numbers multiplied together.
138518016 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 138518016:
29 × 3 × 7 × 13 × 991
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 991)See below for interesting mathematical facts about the number 138518016 from the Numbermatics database.
Names of 138518016
- Cardinal: 138518016 can be written as One hundred thirty-eight million, five hundred eighteen thousand and sixteen.
Scientific notation
- Scientific notation: 1.38518016 × 108
Factors of 138518016
Divisors of 138518016
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 991 1092 1248 1344 1456 1536 1664 1792 1982 2184 2496 2688 2912 2973 3328 3584 3964 4368 4992 5376 5824 5946 6656 6937 7928 8736 9984 10752 11648 11892 12883 13874 15856 17472 19968 20811 23296 23784 25766 27748 31712 34944 38649 41622 46592 47568 51532 55496 63424 69888 77298 83244 90181 95136 103064 110992 126848 139776 154596 166488 180362 190272 206128 221984 253696 270543 309192 332976 360724 380544 412256 443968 507392 541086 618384 665952 721448 761088 824512 887936 1082172 1236768 1331904 1442896 1522176 1649024 1775872 2164344 2473536 2663808 2885792 3298048 3551744 4328688 4947072 5327616 5771584 6596096 8657376 9894144 10655232 11543168 17314752 19788288 23086336 34629504 46172672 69259008 138518016
- Sum of all divisors σ(n): 454637568
- Sum of proper divisors (its aliquot sum) s(n): 316119552
- 138518016 is an abundant number, because the sum of its proper divisors (316119552) is greater than itself. Its abundance is 177601536
Bases of 138518016
- Binary: 10000100000110011110000000002
- Hexadecimal: 0x8419E00
- Base-36: 2AGX6O
Squares and roots of 138518016
- 138518016 squared (1385180162) is 19187240756576256
- 138518016 cubed (1385180163) is 2657778522115281933828096
-
The
square root of 138518016 is 11769.3676975443 -
The
cube root of 138518016 is 517.4107181035
Scales and comparisons
How big is 138518016?- 138,518,016 seconds is equal to 4 years, 21 weeks, 5 hours, 13 minutes, 36 seconds.
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To count from 1 to 138,518,016 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 138518016 cubic inches would be around 43.1 feet tall.
Recreational maths with 138518016
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