230748128
230,748,128 is an even composite number composed of five prime numbers multiplied together.
230748128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 230748128:
25 × 13 × 29 × 31 × 617
(2 × 2 × 2 × 2 × 2 × 13 × 29 × 31 × 617)See below for interesting mathematical facts about the number 230748128 from the Numbermatics database.
Names of 230748128
- Cardinal: 230748128 can be written as Two hundred thirty million, seven hundred forty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 2.30748128 × 108
Factors of 230748128
Divisors of 230748128
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 8 13 16 26 29 31 32 52 58 62 104 116 124 208 232 248 377 403 416 464 496 617 754 806 899 928 992 1234 1508 1612 1798 2468 3016 3224 3596 4936 6032 6448 7192 8021 9872 11687 12064 12896 14384 16042 17893 19127 19744 23374 28768 32084 35786 38254 46748 64168 71572 76508 93496 128336 143144 153016 186992 232609 248651 256672 286288 306032 373984 465218 497302 554683 572576 612064 930436 994604 1109366 1860872 1989208 2218732 3721744 3978416 4437464 7210879 7443488 7956832 8874928 14421758 17749856 28843516 57687032 115374064 230748128
- Sum of all divisors σ(n): 523272960
- Sum of proper divisors (its aliquot sum) s(n): 292524832
- 230748128 is an abundant number, because the sum of its proper divisors (292524832) is greater than itself. Its abundance is 61776704
Bases of 230748128
- Binary: 11011100000011101111111000002
- Hexadecimal: 0xDC0EFE0
- Base-36: 3TDQE8
Squares and roots of 230748128
- 230748128 squared (2307481282) is 53244698575504384
- 230748128 cubed (2307481283) is 12286114522221903263793152
-
The
square root of 230748128 is 15190.3959132077 -
The
cube root of 230748128 is 613.3561564707
Scales and comparisons
How big is 230748128?- 230,748,128 seconds is equal to 7 years, 17 weeks, 3 days, 16 hours, 42 minutes, 8 seconds.
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To count from 1 to 230,748,128 would take you about eleven 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 230748128 cubic inches would be around 51.1 feet tall.
Recreational maths with 230748128
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