135856384
135,856,384 is an even composite number composed of five prime numbers multiplied together.
135856384 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 135856384:
28 × 17 × 19 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 17 × 19 × 31 × 53)See below for interesting mathematical facts about the number 135856384 from the Numbermatics database.
Names of 135856384
- Cardinal: 135856384 can be written as One hundred thirty-five million, eight hundred fifty-six thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.35856384 × 108
Factors of 135856384
Divisors of 135856384
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 8 16 17 19 31 32 34 38 53 62 64 68 76 106 124 128 136 152 212 248 256 272 304 323 424 496 527 544 589 608 646 848 901 992 1007 1054 1088 1178 1216 1292 1643 1696 1802 1984 2014 2108 2176 2356 2432 2584 3286 3392 3604 3968 4028 4216 4352 4712 4864 5168 6572 6784 7208 7936 8056 8432 9424 10013 10336 13144 13568 14416 16112 16864 17119 18848 20026 20672 26288 27931 28832 31217 32224 33728 34238 37696 40052 41344 52576 55862 57664 62434 64448 67456 68476 75392 80104 82688 105152 111724 115328 124868 128896 134912 136952 150784 160208 210304 223448 230656 249736 257792 273904 320416 420608 446896 499472 530689 547808 640832 893792 998944 1061378 1095616 1281664 1787584 1997888 2122756 2191232 2563328 3575168 3995776 4245512 4382464 7150336 7991552 8491024 16982048 33964096 67928192 135856384
- Sum of all divisors σ(n): 317882880
- Sum of proper divisors (its aliquot sum) s(n): 182026496
- 135856384 is an abundant number, because the sum of its proper divisors (182026496) is greater than itself. Its abundance is 46170112
Bases of 135856384
- Binary: 10000001100100000001000000002
- Hexadecimal: 0x8190100
- Base-36: 28VVGG
Squares and roots of 135856384
- 135856384 squared (1358563842) is 18456957073555456
- 135856384 cubed (1358563843) is 2507495447656466275631104
-
The
square root of 135856384 is 11655.7446780547 -
The
cube root of 135856384 is 514.0752361519
Scales and comparisons
How big is 135856384?- 135,856,384 seconds is equal to 4 years, 16 weeks, 4 days, 9 hours, 53 minutes, 4 seconds.
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To count from 1 to 135,856,384 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 135856384 cubic inches would be around 42.8 feet tall.
Recreational maths with 135856384
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