480792972
480,792,972 is an even composite number composed of six prime numbers multiplied together.
480792972 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 480792972:
22 × 3 × 11 × 292 × 61 × 71
(2 × 2 × 3 × 11 × 29 × 29 × 61 × 71)See below for interesting mathematical facts about the number 480792972 from the Numbermatics database.
Names of 480792972
- Cardinal: 480792972 can be written as Four hundred eighty million, seven hundred ninety-two thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 4.80792972 × 108
Factors of 480792972
Divisors of 480792972
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 11 12 22 29 33 44 58 61 66 71 87 116 122 132 142 174 183 213 244 284 319 348 366 426 638 671 732 781 841 852 957 1276 1342 1562 1682 1769 1914 2013 2059 2343 2523 2684 3124 3364 3538 3828 4026 4118 4331 4686 5046 5307 6177 7076 8052 8236 8662 9251 9372 10092 10614 12354 12993 17324 18502 19459 21228 22649 24708 25986 27753 37004 38918 45298 47641 51301 51972 55506 58377 59711 67947 77836 90596 95282 102602 111012 116754 119422 125599 135894 142923 153903 179133 190564 205204 233508 238844 251198 271788 285846 307806 358266 376797 502396 564311 571692 615612 656821 716532 753594 1128622 1313642 1381589 1507188 1692933 1970463 2257244 2627284 2763178 3385866 3642371 3940926 4144767 5526356 6771732 7284742 7881852 8289534 10927113 14569484 16579068 21854226 40066081 43708452 80132162 120198243 160264324 240396486 480792972
- Sum of all divisors σ(n): 1306416384
- Sum of proper divisors (its aliquot sum) s(n): 825623412
- 480792972 is an abundant number, because the sum of its proper divisors (825623412) is greater than itself. Its abundance is 344830440
Bases of 480792972
- Binary: 111001010100001010001100011002
- Hexadecimal: 0x1CA8518C
- Base-36: 7Y928C
Squares and roots of 480792972
- 480792972 squared (4807929722) is 231161881924592784
- 480792972 cubed (4807929723) is 111141008223638044509114048
-
The
square root of 480792972 is 21926.9918593499 -
The
cube root of 480792972 is 783.4044549679
Scales and comparisons
How big is 480792972?- 480,792,972 seconds is equal to 15 years, 14 weeks, 6 days, 17 hours, 36 minutes, 12 seconds.
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To count from 1 to 480,792,972 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 480792972 cubic inches would be around 65.3 feet tall.
Recreational maths with 480792972
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