480328400
480,328,400 is an even composite number composed of five prime numbers multiplied together.
480328400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 480328400:
24 × 52 × 53 × 139 × 163
(2 × 2 × 2 × 2 × 5 × 5 × 53 × 139 × 163)See below for interesting mathematical facts about the number 480328400 from the Numbermatics database.
Names of 480328400
- Cardinal: 480328400 can be written as Four hundred eighty million, three hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.803284 × 108
Factors of 480328400
Divisors of 480328400
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 139 163 200 212 265 278 326 400 424 530 556 652 695 815 848 1060 1112 1304 1325 1390 1630 2120 2224 2608 2650 2780 3260 3475 4075 4240 5300 5560 6520 6950 7367 8150 8639 10600 11120 13040 13900 14734 16300 17278 21200 22657 27800 29468 32600 34556 36835 43195 45314 55600 58936 65200 69112 73670 86390 90628 113285 117872 138224 147340 172780 181256 184175 215975 226570 294680 345560 362512 368350 431950 453140 566425 589360 691120 736700 863900 906280 1132850 1200821 1473400 1727800 1812560 2265700 2401642 2946800 3455600 4531400 4803284 6004105 9062800 9606568 12008210 19213136 24016420 30020525 48032840 60041050 96065680 120082100 240164200 480328400
- Sum of all divisors σ(n): 1191486240
- Sum of proper divisors (its aliquot sum) s(n): 711157840
- 480328400 is an abundant number, because the sum of its proper divisors (711157840) is greater than itself. Its abundance is 230829440
Bases of 480328400
- Binary: 111001010000100111010110100002
- Hexadecimal: 0x1CA13AD0
- Base-36: 7XZ3RK
Squares and roots of 480328400
- 480328400 squared (4803284002) is 230715371846560000
- 480328400 cubed (4803284003) is 110819145414463210304000000
-
The
square root of 480328400 is 21916.3956890725 -
The
cube root of 480328400 is 783.1520489903
Scales and comparisons
How big is 480328400?- 480,328,400 seconds is equal to 15 years, 14 weeks, 1 day, 8 hours, 33 minutes, 20 seconds.
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To count from 1 to 480,328,400 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 480328400 cubic inches would be around 65.3 feet tall.
Recreational maths with 480328400
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