480628960
480,628,960 is an even composite number composed of six prime numbers multiplied together.
480628960 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 480628960:
25 × 5 × 7 × 31 × 109 × 127
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 31 × 109 × 127)See below for interesting mathematical facts about the number 480628960 from the Numbermatics database.
Names of 480628960
- Cardinal: 480628960 can be written as Four hundred eighty million, six hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.8062896 × 108
Factors of 480628960
Divisors of 480628960
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 109 112 124 127 140 155 160 217 218 224 248 254 280 310 434 436 496 508 545 560 620 635 763 868 872 889 992 1016 1085 1090 1120 1240 1270 1526 1736 1744 1778 2032 2170 2180 2480 2540 3052 3379 3472 3488 3556 3815 3937 4064 4340 4360 4445 4960 5080 6104 6758 6944 7112 7630 7874 8680 8720 8890 10160 12208 13516 13843 14224 15260 15748 16895 17360 17440 17780 19685 20320 23653 24416 27032 27559 27686 28448 30520 31496 33790 34720 35560 39370 47306 54064 55118 55372 61040 62992 67580 69215 71120 78740 94612 96901 108128 110236 110744 118265 122080 125984 135160 137795 138430 142240 157480 189224 193802 220472 221488 236530 270320 275590 276860 314960 378448 387604 429133 440944 442976 473060 484505 540640 551180 553720 629920 756896 775208 858266 881888 946120 969010 1102360 1107440 1550416 1716532 1892240 1938020 2145665 2204720 2214880 3003931 3100832 3433064 3784480 3876040 4291330 4409440 6007862 6866128 7752080 8582660 12015724 13732256 15019655 15504160 17165320 24031448 30039310 34330640 48062896 60078620 68661280 96125792 120157240 240314480 480628960
- Sum of all divisors σ(n): 1362493440
- Sum of proper divisors (its aliquot sum) s(n): 881864480
- 480628960 is an abundant number, because the sum of its proper divisors (881864480) is greater than itself. Its abundance is 401235520
Bases of 480628960
- Binary: 111001010010111010000111000002
- Hexadecimal: 0x1CA5D0E0
- Base-36: 7Y5JOG
Squares and roots of 480628960
- 480628960 squared (4806289602) is 231004197190681600
- 480628960 cubed (4806289603) is 111027307051392219099136000
-
The
square root of 480628960 is 21923.2515836497 -
The
cube root of 480628960 is 783.3153644085
Scales and comparisons
How big is 480628960?- 480,628,960 seconds is equal to 15 years, 14 weeks, 4 days, 20 hours, 2 minutes, 40 seconds.
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To count from 1 to 480,628,960 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 480628960 cubic inches would be around 65.3 feet tall.
Recreational maths with 480628960
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The information we have on file for 480628960 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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