137880064
137,880,064 is an even composite number composed of five prime numbers multiplied together.
137880064 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 137880064:
29 × 7 × 17 × 31 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 17 × 31 × 73)See below for interesting mathematical facts about the number 137880064 from the Numbermatics database.
Names of 137880064
- Cardinal: 137880064 can be written as One hundred thirty-seven million, eight hundred eighty thousand and sixty-four.
Scientific notation
- Scientific notation: 1.37880064 × 108
Factors of 137880064
Divisors of 137880064
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 73 112 119 124 128 136 146 217 224 238 248 256 272 292 434 448 476 496 511 512 527 544 584 868 896 952 992 1022 1054 1088 1168 1241 1736 1792 1904 1984 2044 2108 2176 2263 2336 2482 3472 3584 3689 3808 3968 4088 4216 4352 4526 4672 4964 6944 7378 7616 7936 8176 8432 8687 8704 9052 9344 9928 13888 14756 15232 15841 15872 16352 16864 17374 18104 18688 19856 27776 29512 30464 31682 32704 33728 34748 36208 37376 38471 39712 55552 59024 60928 63364 65408 67456 69496 72416 76942 79424 111104 118048 126728 130816 134912 138992 144832 153884 158848 236096 253456 261632 269297 269824 277984 289664 307768 317696 472192 506912 538594 555968 579328 615536 635392 944384 1013824 1077188 1111936 1158656 1231072 1888768 2027648 2154376 2223872 2462144 4055296 4308752 4447744 4924288 8110592 8617504 9848576 17235008 19697152 34470016 68940032 137880064
- Sum of all divisors σ(n): 348834816
- Sum of proper divisors (its aliquot sum) s(n): 210954752
- 137880064 is an abundant number, because the sum of its proper divisors (210954752) is greater than itself. Its abundance is 73074688
Bases of 137880064
- Binary: 10000011011111100010000000002
- Hexadecimal: 0x837E200
- Base-36: 2A38XS
Squares and roots of 137880064
- 137880064 squared (1378800642) is 19010912048644096
- 137880064 cubed (1378800643) is 2621225769965419069702144
-
The
square root of 137880064 is 11742.2341996743 -
The
cube root of 137880064 is 516.6151747967
Scales and comparisons
How big is 137880064?- 137,880,064 seconds is equal to 4 years, 19 weeks, 6 days, 20 hours, 1 minute, 4 seconds.
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To count from 1 to 137,880,064 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 137880064 cubic inches would be around 43.1 feet tall.
Recreational maths with 137880064
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