480668448
480,668,448 is an even composite number composed of five prime numbers multiplied together.
480668448 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 480668448:
25 × 3 × 133 × 43 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 13 × 43 × 53)See below for interesting mathematical facts about the number 480668448 from the Numbermatics database.
Names of 480668448
- Cardinal: 480668448 can be written as Four hundred eighty million, six hundred sixty-eight thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 4.80668448 × 108
Factors of 480668448
Divisors of 480668448
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 53 78 86 96 104 106 129 156 159 169 172 208 212 258 312 318 338 344 416 424 507 516 559 624 636 676 688 689 848 1014 1032 1118 1248 1272 1352 1376 1378 1677 1696 2028 2064 2067 2197 2236 2279 2544 2704 2756 3354 4056 4128 4134 4394 4472 4558 5088 5408 5512 6591 6708 6837 7267 8112 8268 8788 8944 8957 9116 11024 13182 13416 13674 14534 16224 16536 17576 17888 17914 18232 21801 22048 26364 26832 26871 27348 29068 29627 33072 35152 35828 36464 43602 52728 53664 53742 54696 58136 59254 66144 70304 71656 72928 87204 88881 94471 105456 107484 109392 116272 116441 118508 143312 174408 177762 188942 210912 214968 218784 232544 232882 237016 283413 286624 348816 349323 355524 377884 385151 429936 465764 474032 566826 697632 698646 711048 755768 770302 859872 931528 948064 1133652 1155453 1397292 1422096 1511536 1540604 1863056 2267304 2310906 2794584 2844192 3023072 3081208 3726112 4534608 4621812 5006963 5589168 6162416 9069216 9243624 10013926 11178336 12324832 15020889 18487248 20027852 30041778 36974496 40055704 60083556 80111408 120167112 160222816 240334224 480668448
- Sum of all divisors σ(n): 1425029760
- Sum of proper divisors (its aliquot sum) s(n): 944361312
- 480668448 is an abundant number, because the sum of its proper divisors (944361312) is greater than itself. Its abundance is 463692864
Bases of 480668448
- Binary: 111001010011001101011001000002
- Hexadecimal: 0x1CA66B20
- Base-36: 7Y6E5C
Squares and roots of 480668448
- 480668448 squared (4806684482) is 231042156902728704
- 480668448 cubed (4806684483) is 111054674981007093116731392
-
The
square root of 480668448 is 21924.1521614861 -
The
cube root of 480668448 is 783.3368159595
Scales and comparisons
How big is 480668448?- 480,668,448 seconds is equal to 15 years, 14 weeks, 5 days, 7 hours, 48 seconds.
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To count from 1 to 480,668,448 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 480668448 cubic inches would be around 65.3 feet tall.
Recreational maths with 480668448
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