40828128
40,828,128 is an even composite number composed of five prime numbers multiplied together.
40828128 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 40828128:
25 × 3 × 11 × 23 × 412
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 23 × 41 × 41)See below for interesting mathematical facts about the number 40828128 from the Numbermatics database.
Names of 40828128
- Cardinal: 40828128 can be written as Forty million, eight hundred twenty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.0828128 × 107
Factors of 40828128
Divisors of 40828128
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 23 24 32 33 41 44 46 48 66 69 82 88 92 96 123 132 138 164 176 184 246 253 264 276 328 352 368 451 492 506 528 552 656 736 759 902 943 984 1012 1056 1104 1312 1353 1518 1681 1804 1886 1968 2024 2208 2706 2829 3036 3362 3608 3772 3936 4048 5043 5412 5658 6072 6724 7216 7544 8096 10086 10373 10824 11316 12144 13448 14432 15088 18491 20172 20746 21648 22632 24288 26896 30176 31119 36982 38663 40344 41492 43296 45264 53792 55473 62238 73964 77326 80688 82984 90528 110946 115989 124476 147928 154652 161376 165968 221892 231978 248952 295856 309304 331936 425293 443784 463956 497904 591712 618608 850586 887568 927912 995808 1237216 1275879 1701172 1775136 1855824 2551758 3402344 3711648 5103516 6804688 10207032 13609376 20414064 40828128
- Sum of all divisors σ(n): 125048448
- Sum of proper divisors (its aliquot sum) s(n): 84220320
- 40828128 is an abundant number, because the sum of its proper divisors (84220320) is greater than itself. Its abundance is 43392192
Bases of 40828128
- Binary: 100110111011111100111000002
- Hexadecimal: 0x26EFCE0
- Base-36: OB36O
Squares and roots of 40828128
- 40828128 squared (408281282) is 1666936035984384
- 40828128 cubed (408281283) is 68057877844983035953152
-
The
square root of 40828128 is 6389.6891943193 -
The
cube root of 40828128 is 344.3392182985
Scales and comparisons
How big is 40828128?- 40,828,128 seconds is equal to 1 year, 15 weeks, 3 days, 13 hours, 8 minutes, 48 seconds.
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To count from 1 to 40,828,128 would take you about forty-nine weeks!
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 40828128 cubic inches would be around 28.7 feet tall.
Recreational maths with 40828128
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The information we have on file for 40828128 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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