480013920
480,013,920 is an even composite number composed of five prime numbers multiplied together.
480013920 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 480013920:
25 × 32 × 5 × 31 × 10753
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 10753)See below for interesting mathematical facts about the number 480013920 from the Numbermatics database.
Names of 480013920
- Cardinal: 480013920 can be written as Four hundred eighty million, thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.8001392 × 108
Factors of 480013920
Divisors of 480013920
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 10753 11160 14880 21506 22320 32259 43012 44640 53765 64518 86024 96777 107530 129036 161295 172048 193554 215060 258072 322590 333343 344096 387108 430120 483885 516144 645180 666686 774216 860240 967770 1000029 1032288 1290360 1333372 1548432 1666715 1720480 1935540 2000058 2580720 2666744 3000087 3096864 3333430 3871080 4000116 5000145 5161440 5333488 6000174 6666860 7742160 8000232 10000290 10666976 12000348 13333720 15000435 15484320 16000464 20000580 24000696 26667440 30000870 32000928 40001160 48001392 53334880 60001740 80002320 96002784 120003480 160004640 240006960 480013920
- Sum of all divisors σ(n): 1691044992
- Sum of proper divisors (its aliquot sum) s(n): 1211031072
- 480013920 is an abundant number, because the sum of its proper divisors (1211031072) is greater than itself. Its abundance is 731017152
Bases of 480013920
- Binary: 111001001110001101110011000002
- Hexadecimal: 0x1C9C6E60
- Base-36: 7XSD40
Squares and roots of 480013920
- 480013920 squared (4800139202) is 230413363393766400
- 480013920 cubed (4800139203) is 110601621783026313228288000
-
The
square root of 480013920 is 21909.2199769869 -
The
cube root of 480013920 is 782.9810969047
Scales and comparisons
How big is 480013920?- 480,013,920 seconds is equal to 15 years, 13 weeks, 4 days, 17 hours, 12 minutes.
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To count from 1 to 480,013,920 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 480013920 cubic inches would be around 65.2 feet tall.
Recreational maths with 480013920
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