480723250
480,723,250 is an even composite number composed of six prime numbers multiplied together.
480723250 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 480723250:
2 × 53 × 7 × 53 × 71 × 73
(2 × 5 × 5 × 5 × 7 × 53 × 71 × 73)See below for interesting mathematical facts about the number 480723250 from the Numbermatics database.
Names of 480723250
- Cardinal: 480723250 can be written as Four hundred eighty million, seven hundred twenty-three thousand, two hundred fifty.
Scientific notation
- Scientific notation: 4.8072325 × 108
Factors of 480723250
Divisors of 480723250
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 5 7 10 14 25 35 50 53 70 71 73 106 125 142 146 175 250 265 350 355 365 371 497 511 530 710 730 742 875 994 1022 1325 1750 1775 1825 1855 2485 2555 2650 3550 3650 3710 3763 3869 4970 5110 5183 6625 7526 7738 8875 9125 9275 10366 12425 12775 13250 17750 18250 18550 18815 19345 24850 25550 25915 26341 27083 36281 37630 38690 46375 51830 52682 54166 62125 63875 72562 92750 94075 96725 124250 127750 129575 131705 135415 181405 188150 193450 259150 263410 270830 274699 362810 470375 483625 549398 647875 658525 677075 907025 940750 967250 1295750 1317050 1354150 1373495 1814050 1922893 2746990 3292625 3385375 3845786 4535125 6585250 6770750 6867475 9070250 9614465 13734950 19228930 34337375 48072325 68674750 96144650 240361625 480723250
- Sum of all divisors σ(n): 1077193728
- Sum of proper divisors (its aliquot sum) s(n): 596470478
- 480723250 is an abundant number, because the sum of its proper divisors (596470478) is greater than itself. Its abundance is 115747228
Bases of 480723250
- Binary: 111001010011101000001001100102
- Hexadecimal: 0x1CA74132
- Base-36: 7Y7KFM
Squares and roots of 480723250
- 480723250 squared (4807232502) is 231094843090562500
- 480723250 cubed (4807232503) is 111092664028735249328125000
-
The
square root of 480723250 is 21925.4019347423 -
The
cube root of 480723250 is 783.3665847763
Scales and comparisons
How big is 480723250?- 480,723,250 seconds is equal to 15 years, 14 weeks, 5 days, 22 hours, 14 minutes, 10 seconds.
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To count from 1 to 480,723,250 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 480723250 cubic inches would be around 65.3 feet tall.
Recreational maths with 480723250
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