442014048
442,014,048 is an even composite number composed of five prime numbers multiplied together.
442014048 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 442014048:
25 × 32 × 7 × 233 × 941
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 233 × 941)See below for interesting mathematical facts about the number 442014048 from the Numbermatics database.
Names of 442014048
- Cardinal: 442014048 can be written as Four hundred forty-two million, fourteen thousand and forty-eight.
Scientific notation
- Scientific notation: 4.42014048 × 108
Factors of 442014048
Divisors of 442014048
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 233 252 288 336 466 504 672 699 932 941 1008 1398 1631 1864 1882 2016 2097 2796 2823 3262 3728 3764 4194 4893 5592 5646 6524 6587 7456 7528 8388 8469 9786 11184 11292 13048 13174 14679 15056 16776 16938 19572 19761 22368 22584 26096 26348 29358 30112 33552 33876 39144 39522 45168 52192 52696 58716 59283 67104 67752 78288 79044 90336 105392 117432 118566 135504 156576 158088 210784 219253 234864 237132 271008 316176 438506 469728 474264 632352 657759 877012 948528 1315518 1534771 1754024 1897056 1973277 2631036 3069542 3508048 3946554 4604313 5262072 6139084 7016096 7893108 9208626 10524144 12278168 13812939 15786216 18417252 21048288 24556336 27625878 31572432 36834504 49112672 55251756 63144864 73669008 110503512 147338016 221007024 442014048
- Sum of all divisors σ(n): 1444244256
- Sum of proper divisors (its aliquot sum) s(n): 1002230208
- 442014048 is an abundant number, because the sum of its proper divisors (1002230208) is greater than itself. Its abundance is 560216160
Bases of 442014048
- Binary: 110100101100010011001011000002
- Hexadecimal: 0x1A589960
- Base-36: 7B5W80
Squares and roots of 442014048
- 442014048 squared (4420140482) is 195376418629346304
- 442014048 cubed (4420140483) is 86359121682099971424878592
-
The
square root of 442014048 is 21024.1301365835 -
The
cube root of 442014048 is 761.7492303141
Scales and comparisons
How big is 442014048?- 442,014,048 seconds is equal to 14 years, 2 weeks, 5 days, 21 hours, 40 minutes, 48 seconds.
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To count from 1 to 442,014,048 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 442014048 cubic inches would be around 63.5 feet tall.
Recreational maths with 442014048
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"Number 442014048 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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