480142520
480,142,520 is an even composite number composed of five prime numbers multiplied together.
What does the number 480142520 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
480142520 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 480142520:
23 × 5 × 112 × 132 × 587
(2 × 2 × 2 × 5 × 11 × 11 × 13 × 13 × 587)See below for interesting mathematical facts about the number 480142520 from the Numbermatics database.
Names of 480142520
- Cardinal: 480142520 can be written as Four hundred eighty million, one hundred forty-two thousand, five hundred twenty.
Scientific notation
- Scientific notation: 4.8014252 × 108
Factors of 480142520
Divisors of 480142520
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 169 220 242 260 286 338 440 484 520 572 587 605 676 715 845 968 1144 1174 1210 1352 1430 1573 1690 1859 2348 2420 2860 2935 3146 3380 3718 4696 4840 5720 5870 6292 6457 6760 7436 7631 7865 9295 11740 12584 12914 14872 15262 15730 18590 20449 23480 25828 30524 31460 32285 37180 38155 40898 51656 61048 62920 64570 71027 74360 76310 81796 83941 99203 102245 129140 142054 152620 163592 167882 198406 204490 258280 284108 305240 335764 355135 396812 408980 419705 496015 568216 671528 710270 793624 817960 839410 923351 992030 1091233 1420540 1678820 1846702 1984060 2182466 2841080 3357640 3693404 3968120 4364932 4616755 5456165 7386808 8729864 9233510 10912330 12003563 18467020 21824660 24007126 36934040 43649320 48014252 60017815 96028504 120035630 240071260 480142520
- Sum of all divisors σ(n): 1288019880
- Sum of proper divisors (its aliquot sum) s(n): 807877360
- 480142520 is an abundant number, because the sum of its proper divisors (807877360) is greater than itself. Its abundance is 327734840
Bases of 480142520
- Binary: 111001001111001100100101110002
- Hexadecimal: 0x1C9E64B8
- Base-36: 7XV4C8
Squares and roots of 480142520
- 480142520 squared (4801425202) is 230536839511950400
- 480142520 cubed (4801425203) is 110690539076103435171008000
-
The
square root of 480142520 is 21912.1546179285 -
The
cube root of 480142520 is 783.0510131955
Scales and comparisons
How big is 480142520?- 480,142,520 seconds is equal to 15 years, 13 weeks, 6 days, 4 hours, 55 minutes, 20 seconds.
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To count from 1 to 480,142,520 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 480142520 cubic inches would be around 65.3 feet tall.
Recreational maths with 480142520
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