137414816
137,414,816 is an even composite number composed of five prime numbers multiplied together.
137414816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 137414816:
25 × 72 × 11 × 31 × 257
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 31 × 257)See below for interesting mathematical facts about the number 137414816 from the Numbermatics database.
Names of 137414816
- Cardinal: 137414816 can be written as One hundred thirty-seven million, four hundred fourteen thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.37414816 × 108
Factors of 137414816
Divisors of 137414816
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 31 32 44 49 56 62 77 88 98 112 124 154 176 196 217 224 248 257 308 341 352 392 434 496 514 539 616 682 784 868 992 1028 1078 1232 1364 1519 1568 1736 1799 2056 2156 2387 2464 2728 2827 3038 3472 3598 4112 4312 4774 5456 5654 6076 6944 7196 7967 8224 8624 9548 10912 11308 12152 12593 14392 15934 16709 17248 19096 19789 22616 24304 25186 28784 31868 33418 38192 39578 45232 48608 50372 55769 57568 63736 66836 76384 79156 87637 90464 100744 111538 127472 133672 138523 158312 175274 201488 223076 254944 267344 277046 316624 350548 390383 402976 446152 534688 554092 613459 633248 701096 780766 892304 1108184 1226918 1402192 1561532 1784608 2216368 2453836 2804384 3123064 4294213 4432736 4907672 6246128 8588426 9815344 12492256 17176852 19630688 34353704 68707408 137414816
- Sum of all divisors σ(n): 355767552
- Sum of proper divisors (its aliquot sum) s(n): 218352736
- 137414816 is an abundant number, because the sum of its proper divisors (218352736) is greater than itself. Its abundance is 80937920
Bases of 137414816
- Binary: 10000011000011001000101000002
- Hexadecimal: 0x830C8A0
- Base-36: 29T9Y8
Squares and roots of 137414816
- 137414816 squared (1374148162) is 18882831656313856
- 137414816 cubed (1374148163) is 2594780837611343760490496
-
The
square root of 137414816 is 11722.4065788559 -
The
cube root of 137414816 is 516.0334493469
Scales and comparisons
How big is 137414816?- 137,414,816 seconds is equal to 4 years, 19 weeks, 1 day, 10 hours, 46 minutes, 56 seconds.
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To count from 1 to 137,414,816 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 137414816 cubic inches would be around 43 feet tall.
Recreational maths with 137414816
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