442428448
442,428,448 is an even composite number composed of five prime numbers multiplied together.
442428448 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 442428448:
25 × 72 × 11 × 113 × 227
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 113 × 227)See below for interesting mathematical facts about the number 442428448 from the Numbermatics database.
Names of 442428448
- Cardinal: 442428448 can be written as Four hundred forty-two million, four hundred twenty-eight thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 4.42428448 × 108
Factors of 442428448
Divisors of 442428448
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 113 154 176 196 224 226 227 308 352 392 452 454 539 616 784 791 904 908 1078 1232 1243 1568 1582 1589 1808 1816 2156 2464 2486 2497 3164 3178 3616 3632 4312 4972 4994 5537 6328 6356 7264 8624 8701 9944 9988 11074 11123 12656 12712 17248 17402 17479 19888 19976 22148 22246 25312 25424 25651 34804 34958 39776 39952 44296 44492 50848 51302 60907 69608 69916 79904 88592 88984 102604 121814 122353 139216 139832 177184 177968 179557 205208 243628 244706 278432 279664 282161 355936 359114 410416 487256 489412 559328 564322 718228 820832 974512 978824 1128644 1256899 1436456 1949024 1957648 1975127 2257288 2513798 2872912 3915296 3950254 4514576 5027596 5745824 7900508 9029152 10055192 13825889 15801016 20110384 27651778 31602032 40220768 55303556 63204064 110607112 221214224 442428448
- Sum of all divisors σ(n): 1120047264
- Sum of proper divisors (its aliquot sum) s(n): 677618816
- 442428448 is an abundant number, because the sum of its proper divisors (677618816) is greater than itself. Its abundance is 235190368
Bases of 442428448
- Binary: 110100101111011101100001000002
- Hexadecimal: 0x1A5EEC20
- Base-36: 7BERZ4
Squares and roots of 442428448
- 442428448 squared (4424284482) is 195742931599688704
- 442428448 cubed (4424284483) is 86602241434620430593851392
-
The
square root of 442428448 is 21033.9831700989 -
The
cube root of 442428448 is 761.9872093893
Scales and comparisons
How big is 442428448?- 442,428,448 seconds is equal to 14 years, 3 weeks, 3 days, 16 hours, 47 minutes, 28 seconds.
-
To count from 1 to 442,428,448 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 442428448 cubic inches would be around 63.5 feet tall.
Recreational maths with 442428448
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