145728
145,728 is an even composite number composed of four prime numbers multiplied together.
145728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 145728:
26 × 32 × 11 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 23)See below for interesting mathematical facts about the number 145728 from the Numbermatics database.
Names of 145728
- Cardinal: 145728 can be written as One hundred forty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.45728 × 105
Factors of 145728
Divisors of 145728
- Number of divisors d(n): 84
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 64 66 69 72 88 92 96 99 132 138 144 176 184 192 198 207 253 264 276 288 352 368 396 414 506 528 552 576 704 736 759 792 828 1012 1056 1104 1472 1518 1584 1656 2024 2112 2208 2277 3036 3168 3312 4048 4416 4554 6072 6336 6624 8096 9108 12144 13248 16192 18216 24288 36432 48576 72864 145728
- Sum of all divisors σ(n): 475488
- Sum of proper divisors (its aliquot sum) s(n): 329760
- 145728 is an abundant number, because the sum of its proper divisors (329760) is greater than itself. Its abundance is 184032
Bases of 145728
- Binary: 1000111001010000002
- Hexadecimal: 0x23940
- Base-36: 34G0
Squares and roots of 145728
- 145728 squared (1457282) is 21236649984
- 145728 cubed (1457283) is 3094774528868352
-
The
square root of 145728 is 381.7433692939 -
The
cube root of 145728 is 52.6236541051
Scales and comparisons
How big is 145728?- 145,728 seconds is equal to 1 day, 16 hours, 28 minutes, 48 seconds.
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To count from 1 to 145,728 would take you about sixteen hours.
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 145728 cubic inches would be around 4.4 feet tall.
Recreational maths with 145728
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The information we have on file for 145728 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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