13188864
13,188,864 is an even composite number composed of four prime numbers multiplied together.
13188864 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 13188864:
28 × 3 × 13 × 1321
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 1321)See below for interesting mathematical facts about the number 13188864 from the Numbermatics database.
Names of 13188864
- Cardinal: 13188864 can be written as Thirteen million, one hundred eighty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.3188864 × 107
Factors of 13188864
Divisors of 13188864
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1321 1664 2496 2642 3328 3963 4992 5284 7926 9984 10568 15852 17173 21136 31704 34346 42272 51519 63408 68692 84544 103038 126816 137384 169088 206076 253632 274768 338176 412152 507264 549536 824304 1014528 1099072 1648608 2198144 3297216 4396288 6594432 13188864
- Sum of all divisors σ(n): 37830352
- Sum of proper divisors (its aliquot sum) s(n): 24641488
- 13188864 is an abundant number, because the sum of its proper divisors (24641488) is greater than itself. Its abundance is 11452624
Bases of 13188864
- Binary: 1100100100111111000000002
- Hexadecimal: 0xC93F00
- Base-36: 7UOLC
Squares and roots of 13188864
- 13188864 squared (131888642) is 173946133610496
- 13188864 cubed (131888643) is 2294151899514660716544
-
The
square root of 13188864 is 3631.6475599925 -
The
cube root of 13188864 is 236.2666716489
Scales and comparisons
How big is 13188864?- 13,188,864 seconds is equal to 21 weeks, 5 days, 15 hours, 34 minutes, 24 seconds.
-
To count from 1 to 13,188,864 would take you about thirty-two weeks!
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 13188864 cubic inches would be around 19.7 feet tall.
Recreational maths with 13188864
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