480268920
480,268,920 is an even composite number composed of six prime numbers multiplied together.
480268920 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 480268920:
23 × 3 × 5 × 89 × 193 × 233
(2 × 2 × 2 × 3 × 5 × 89 × 193 × 233)See below for interesting mathematical facts about the number 480268920 from the Numbermatics database.
Names of 480268920
- Cardinal: 480268920 can be written as Four hundred eighty million, two hundred sixty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.8026892 × 108
Factors of 480268920
Divisors of 480268920
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 193 233 267 356 386 445 466 534 579 699 712 772 890 932 965 1068 1158 1165 1335 1398 1544 1780 1864 1930 2136 2316 2330 2670 2796 2895 3495 3560 3860 4632 4660 5340 5592 5790 6990 7720 9320 10680 11580 13980 17177 20737 23160 27960 34354 41474 44969 51531 62211 68708 82948 85885 89938 103062 103685 124422 134907 137416 165896 171770 179876 206124 207370 224845 248844 257655 269814 311055 343540 359752 412248 414740 449690 497688 515310 539628 622110 674535 687080 829480 899380 1030620 1079256 1244220 1349070 1798760 2061240 2488440 2698140 4002241 5396280 8004482 12006723 16008964 20011205 24013446 32017928 40022410 48026892 60033615 80044820 96053784 120067230 160089640 240134460 480268920
- Sum of all divisors σ(n): 1470830400
- Sum of proper divisors (its aliquot sum) s(n): 990561480
- 480268920 is an abundant number, because the sum of its proper divisors (990561480) is greater than itself. Its abundance is 510292560
Bases of 480268920
- Binary: 111001010000001010010011110002
- Hexadecimal: 0x1CA05278
- Base-36: 7XXTVC
Squares and roots of 480268920
- 480268920 squared (4802689202) is 230658235517966400
- 480268920 cubed (4802689203) is 110777981661319363524288000
-
The
square root of 480268920 is 21915.0386721083 -
The
cube root of 480268920 is 783.1197212421
Scales and comparisons
How big is 480268920?- 480,268,920 seconds is equal to 15 years, 14 weeks, 16 hours, 2 minutes.
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To count from 1 to 480,268,920 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 480268920 cubic inches would be around 65.3 feet tall.
Recreational maths with 480268920
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