442890048
442,890,048 is an even composite number composed of five prime numbers multiplied together.
442890048 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 442890048:
26 × 3 × 53 × 71 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 53 × 71 × 613)See below for interesting mathematical facts about the number 442890048 from the Numbermatics database.
Names of 442890048
- Cardinal: 442890048 can be written as Four hundred forty-two million, eight hundred ninety thousand and forty-eight.
Scientific notation
- Scientific notation: 4.42890048 × 108
Factors of 442890048
Divisors of 442890048
- Number of divisors d(n): 112
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 53 64 71 96 106 142 159 192 212 213 284 318 424 426 568 613 636 848 852 1136 1226 1272 1696 1704 1839 2272 2452 2544 3392 3408 3678 3763 4544 4904 5088 6816 7356 7526 9808 10176 11289 13632 14712 15052 19616 22578 29424 30104 32489 39232 43523 45156 58848 60208 64978 87046 90312 97467 117696 120416 129956 130569 174092 180624 194934 240832 259912 261138 348184 361248 389868 519824 522276 696368 722496 779736 1039648 1044552 1392736 1559472 2079296 2089104 2306719 2785472 3118944 4178208 4613438 6237888 6920157 8356416 9226876 13840314 18453752 27680628 36907504 55361256 73815008 110722512 147630016 221445024 442890048
- Sum of all divisors σ(n): 1212713856
- Sum of proper divisors (its aliquot sum) s(n): 769823808
- 442890048 is an abundant number, because the sum of its proper divisors (769823808) is greater than itself. Its abundance is 326933760
Bases of 442890048
- Binary: 110100110010111110111010000002
- Hexadecimal: 0x1A65F740
- Base-36: 7BOO5C
Squares and roots of 442890048
- 442890048 squared (4428900482) is 196151594617442304
- 442890048 cubed (4428900483) is 86873589155395563655790592
-
The
square root of 442890048 is 21044.9530291707 -
The
cube root of 442890048 is 762.2521192999
Scales and comparisons
How big is 442890048?- 442,890,048 seconds is equal to 14 years, 4 weeks, 2 days, 1 hour, 48 seconds.
-
To count from 1 to 442,890,048 would take you about twenty-one 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 442890048 cubic inches would be around 63.5 feet tall.
Recreational maths with 442890048
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