480126720
480,126,720 is an even composite number composed of five prime numbers multiplied together.
480126720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 480126720:
28 × 3 × 5 × 97 × 1289
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 97 × 1289)See below for interesting mathematical facts about the number 480126720 from the Numbermatics database.
Names of 480126720
- Cardinal: 480126720 can be written as Four hundred eighty million, one hundred twenty-six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 4.8012672 × 108
Factors of 480126720
Divisors of 480126720
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 128 160 192 194 240 256 291 320 384 388 480 485 582 640 768 776 960 970 1164 1280 1289 1455 1552 1920 1940 2328 2578 2910 3104 3840 3867 3880 4656 5156 5820 6208 6445 7734 7760 9312 10312 11640 12416 12890 15468 15520 18624 19335 20624 23280 24832 25780 30936 31040 37248 38670 41248 46560 51560 61872 62080 74496 77340 82496 93120 103120 123744 124160 125033 154680 164992 186240 206240 247488 250066 309360 329984 372480 375099 412480 494976 500132 618720 625165 750198 824960 989952 1000264 1237440 1250330 1500396 1649920 1875495 2000528 2474880 2500660 3000792 3750990 4001056 4949760 5001320 6001584 7501980 8002112 10002640 12003168 15003960 16004224 20005280 24006336 30007920 32008448 40010560 48012672 60015840 80021120 96025344 120031680 160042240 240063360 480126720
- Sum of all divisors σ(n): 1550414880
- Sum of proper divisors (its aliquot sum) s(n): 1070288160
- 480126720 is an abundant number, because the sum of its proper divisors (1070288160) is greater than itself. Its abundance is 590161440
Bases of 480126720
- Binary: 111001001111000100111000000002
- Hexadecimal: 0x1C9E2700
- Base-36: 7XUS5C
Squares and roots of 480126720
- 480126720 squared (4801267202) is 230521667257958400
- 480126720 cubed (4801267203) is 110679611989494960488448000
-
The
square root of 480126720 is 21911.7940844651 -
The
cube root of 480126720 is 783.0424238417
Scales and comparisons
How big is 480126720?- 480,126,720 seconds is equal to 15 years, 13 weeks, 6 days, 32 minutes.
-
To count from 1 to 480,126,720 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 480126720 cubic inches would be around 65.3 feet tall.
Recreational maths with 480126720
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