460128768
460,128,768 is an even composite number composed of five prime numbers multiplied together.
460128768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 460128768:
29 × 3 × 11 × 113 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 113 × 241)See below for interesting mathematical facts about the number 460128768 from the Numbermatics database.
Names of 460128768
- Cardinal: 460128768 can be written as Four hundred sixty million, one hundred twenty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.60128768 × 108
Factors of 460128768
Divisors of 460128768
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 128 132 176 192 226 241 256 264 339 352 384 452 482 512 528 678 704 723 768 904 964 1056 1243 1356 1408 1446 1536 1808 1928 2112 2486 2651 2712 2816 2892 3616 3729 3856 4224 4972 5302 5424 5632 5784 7232 7458 7712 7953 8448 9944 10604 10848 11568 14464 14916 15424 15906 16896 19888 21208 21696 23136 27233 28928 29832 30848 31812 39776 42416 43392 46272 54466 57856 59664 61696 63624 79552 81699 84832 86784 92544 108932 119328 123392 127248 159104 163398 169664 173568 185088 217864 238656 254496 299563 318208 326796 339328 370176 435728 477312 508992 599126 636416 653592 678656 871456 898689 954624 1017984 1198252 1307184 1357312 1742912 1797378 1909248 2035968 2396504 2614368 3485824 3594756 4071936 4793008 5228736 6971648 7189512 9586016 10457472 13943296 14379024 19172032 20914944 28758048 38344064 41829888 57516096 76688128 115032192 153376256 230064384 460128768
- Sum of all divisors σ(n): 1354681152
- Sum of proper divisors (its aliquot sum) s(n): 894552384
- 460128768 is an abundant number, because the sum of its proper divisors (894552384) is greater than itself. Its abundance is 434423616
Bases of 460128768
- Binary: 110110110110100000010000000002
- Hexadecimal: 0x1B6D0200
- Base-36: 7LY5MO
Squares and roots of 460128768
- 460128768 squared (4601287682) is 211718483141197824
- 460128768 cubed (4601287683) is 97417764810588124801400832
-
The
square root of 460128768 is 21450.6122989531 -
The
cube root of 460128768 is 772.0162864471
Scales and comparisons
How big is 460128768?- 460,128,768 seconds is equal to 14 years, 32 weeks, 5 days, 13 hours, 32 minutes, 48 seconds.
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To count from 1 to 460,128,768 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 460128768 cubic inches would be around 64.3 feet tall.
Recreational maths with 460128768
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