224142048
224,142,048 is an even composite number composed of five prime numbers multiplied together.
224142048 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 224142048:
25 × 32 × 13 × 131 × 457
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 131 × 457)See below for interesting mathematical facts about the number 224142048 from the Numbermatics database.
Names of 224142048
- Cardinal: 224142048 can be written as Two hundred twenty-four million, one hundred forty-two thousand and forty-eight.
Scientific notation
- Scientific notation: 2.24142048 × 108
Factors of 224142048
Divisors of 224142048
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 131 144 156 208 234 262 288 312 393 416 457 468 524 624 786 914 936 1048 1179 1248 1371 1572 1703 1828 1872 2096 2358 2742 3144 3406 3656 3744 4113 4192 4716 5109 5484 5941 6288 6812 7312 8226 9432 10218 10968 11882 12576 13624 14624 15327 16452 17823 18864 20436 21936 23764 27248 30654 32904 35646 37728 40872 43872 47528 53469 54496 59867 61308 65808 71292 81744 95056 106938 119734 122616 131616 142584 163488 179601 190112 213876 239468 245232 285168 359202 427752 478936 490464 538803 570336 718404 778271 855504 957872 1077606 1436808 1556542 1711008 1915744 2155212 2334813 2873616 3113084 4310424 4669626 5747232 6226168 7004439 8620848 9339252 12452336 14008878 17241696 18678504 24904672 28017756 37357008 56035512 74714016 112071024 224142048
- Sum of all divisors σ(n): 693188496
- Sum of proper divisors (its aliquot sum) s(n): 469046448
- 224142048 is an abundant number, because the sum of its proper divisors (469046448) is greater than itself. Its abundance is 244904400
Bases of 224142048
- Binary: 11010101110000100010111000002
- Hexadecimal: 0xD5C22E0
- Base-36: 3PG540
Squares and roots of 224142048
- 224142048 squared (2241420482) is 50239657681634304
- 224142048 cubed (2241420483) is 11260819763580444885614592
-
The
square root of 224142048 is 14971.3742856159 -
The
cube root of 224142048 is 607.4461426625
Scales and comparisons
How big is 224142048?- 224,142,048 seconds is equal to 7 years, 6 weeks, 4 days, 5 hours, 40 minutes, 48 seconds.
-
To count from 1 to 224,142,048 would take you about ten 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 224142048 cubic inches would be around 50.6 feet tall.
Recreational maths with 224142048
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