480139968
480,139,968 is an even composite number composed of six prime numbers multiplied together.
480139968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 480139968:
26 × 3 × 7 × 11 × 47 × 691
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 47 × 691)See below for interesting mathematical facts about the number 480139968 from the Numbermatics database.
Names of 480139968
- Cardinal: 480139968 can be written as Four hundred eighty million, one hundred thirty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.80139968 × 108
Factors of 480139968
Divisors of 480139968
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 47 48 56 64 66 77 84 88 94 96 112 132 141 154 168 176 188 192 224 231 264 282 308 329 336 352 376 448 462 517 528 564 616 658 672 691 704 752 924 987 1034 1056 1128 1232 1316 1344 1382 1504 1551 1848 1974 2068 2073 2112 2256 2464 2632 2764 3008 3102 3619 3696 3948 4136 4146 4512 4837 4928 5264 5528 6204 7238 7392 7601 7896 8272 8292 9024 9674 10528 10857 11056 12408 14476 14511 14784 15202 15792 16544 16584 19348 21056 21714 22112 22803 24816 28952 29022 30404 31584 32477 33088 33168 38696 43428 44224 45606 49632 53207 57904 58044 60808 63168 64954 66336 77392 86856 91212 97431 99264 106414 115808 116088 121616 129908 132672 154784 159621 173712 182424 194862 212828 227339 231616 232176 243232 259816 309568 319242 347424 357247 364848 389724 425656 454678 464352 486464 519632 638484 682017 694848 714494 729696 779448 851312 909356 928704 1039264 1071741 1276968 1364034 1428988 1459392 1558896 1702624 1818712 2078528 2143482 2500729 2553936 2728068 2857976 3117792 3405248 3637424 4286964 5001458 5107872 5456136 5715952 6235584 7274848 7502187 8573928 10002916 10215744 10912272 11431904 14549696 15004374 17147856 20005832 21824544 22863808 30008748 34295712 40011664 43649088 60017496 68591424 80023328 120034992 160046656 240069984 480139968
- Sum of all divisors σ(n): 1619877888
- Sum of proper divisors (its aliquot sum) s(n): 1139737920
- 480139968 is an abundant number, because the sum of its proper divisors (1139737920) is greater than itself. Its abundance is 659597952
Bases of 480139968
- Binary: 111001001111001011010110000002
- Hexadecimal: 0x1C9E5AC0
- Base-36: 7XV2DC
Squares and roots of 480139968
- 480139968 squared (4801399682) is 230534388871041024
- 480139968 cubed (4801399683) is 110688774095441193390047232
-
The
square root of 480139968 is 21912.0963853303 -
The
cube root of 480139968 is 783.0496258647
Scales and comparisons
How big is 480139968?- 480,139,968 seconds is equal to 15 years, 13 weeks, 6 days, 4 hours, 12 minutes, 48 seconds.
-
To count from 1 to 480,139,968 would take you about twenty-two 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 480139968 cubic inches would be around 65.3 feet tall.
Recreational maths with 480139968
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