480742668
480,742,668 is an even composite number composed of six prime numbers multiplied together.
480742668 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 480742668:
22 × 33 × 7 × 31 × 73 × 281
(2 × 2 × 3 × 3 × 3 × 7 × 31 × 73 × 281)See below for interesting mathematical facts about the number 480742668 from the Numbermatics database.
Names of 480742668
- Cardinal: 480742668 can be written as Four hundred eighty million, seven hundred forty-two thousand, six hundred sixty-eight.
Scientific notation
- Scientific notation: 4.80742668 × 108
Factors of 480742668
Divisors of 480742668
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 73 84 93 108 124 126 146 186 189 217 219 252 279 281 292 372 378 434 438 511 558 562 651 657 756 837 843 868 876 1022 1116 1124 1302 1314 1533 1674 1686 1953 1967 1971 2044 2263 2529 2604 2628 3066 3348 3372 3906 3934 3942 4526 4599 5058 5859 5901 6132 6789 7587 7812 7868 7884 8711 9052 9198 10116 11718 11802 13578 13797 15174 15841 17422 17703 18396 20367 20513 23436 23604 26133 27156 27594 30348 31682 34844 35406 40734 41026 47523 52266 53109 55188 60977 61101 61539 63364 70812 78399 81468 82052 95046 104532 106218 121954 122202 123078 142569 143591 156798 182931 184617 190092 212436 235197 243908 244404 246156 285138 287182 313596 365862 369234 427707 430773 470394 548793 553851 570276 574364 635903 731724 738468 855414 861546 940788 1097586 1107702 1271806 1292319 1646379 1710828 1723092 1907709 2195172 2215404 2543612 2584638 3292758 3815418 3876957 4451321 5169276 5723127 6585516 7630836 7753914 8902642 11446254 13353963 15507828 17169381 17805284 22892508 26707926 34338762 40061889 53415852 68677524 80123778 120185667 160247556 240371334 480742668
- Sum of all divisors σ(n): 1495818240
- Sum of proper divisors (its aliquot sum) s(n): 1015075572
- 480742668 is an abundant number, because the sum of its proper divisors (1015075572) is greater than itself. Its abundance is 534332904
Bases of 480742668
- Binary: 111001010011110001101000011002
- Hexadecimal: 0x1CA78D0C
- Base-36: 7Y7ZF0
Squares and roots of 480742668
- 480742668 squared (4807426682) is 231113512835758224
- 480742668 cubed (4807426683) is 111106126771514654408701632
-
The
square root of 480742668 is 21925.8447499749 -
The
cube root of 480742668 is 783.3771322223
Scales and comparisons
How big is 480742668?- 480,742,668 seconds is equal to 15 years, 14 weeks, 6 days, 3 hours, 37 minutes, 48 seconds.
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To count from 1 to 480,742,668 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 480742668 cubic inches would be around 65.3 feet tall.
Recreational maths with 480742668
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The information we have on file for 480742668 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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