480129120
480,129,120 is an even composite number composed of five prime numbers multiplied together.
480129120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 480129120:
25 × 35 × 5 × 53 × 233
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 53 × 233)See below for interesting mathematical facts about the number 480129120 from the Numbermatics database.
Names of 480129120
- Cardinal: 480129120 can be written as Four hundred eighty million, one hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.8012912 × 108
Factors of 480129120
Divisors of 480129120
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 53 54 60 72 80 81 90 96 106 108 120 135 144 159 160 162 180 212 216 233 240 243 265 270 288 318 324 360 405 424 432 466 477 480 486 530 540 636 648 699 720 795 810 848 864 932 954 972 1060 1080 1165 1215 1272 1296 1398 1431 1440 1590 1620 1696 1864 1908 1944 2097 2120 2160 2330 2385 2430 2544 2592 2796 2862 3180 3240 3495 3728 3816 3888 4194 4240 4293 4320 4660 4770 4860 5088 5592 5724 6291 6360 6480 6990 7155 7456 7632 7776 8388 8480 8586 9320 9540 9720 10485 11184 11448 12349 12582 12720 12879 12960 13980 14310 15264 16776 17172 18640 18873 19080 19440 20970 21465 22368 22896 24698 25164 25440 25758 27960 28620 31455 33552 34344 37047 37280 37746 38160 38880 41940 42930 45792 49396 50328 51516 55920 56619 57240 61745 62910 64395 67104 68688 74094 75492 76320 83880 85860 94365 98792 100656 103032 111141 111840 113238 114480 123490 125820 128790 137376 148188 150984 167760 171720 185235 188730 197584 201312 206064 222282 226476 228960 246980 251640 257580 283095 296376 301968 333423 335520 343440 370470 377460 395168 412128 444564 452952 493960 503280 515160 555705 566190 592752 603936 666846 686880 740940 754920 889128 905904 987920 1000269 1006560 1030320 1111410 1132380 1185504 1333692 1481880 1509840 1667115 1778256 1811808 1975840 2000538 2060640 2222820 2264760 2667384 2963760 3000807 3019680 3334230 3556512 4001076 4445640 4529520 5001345 5334768 5927520 6001614 6668460 8002152 8891280 9059040 10002690 10669536 12003228 13336920 15004035 16004304 17782560 20005380 24006456 26673840 30008070 32008608 40010760 48012912 53347680 60016140 80021520 96025824 120032280 160043040 240064560 480129120
- Sum of all divisors σ(n): 1738612512
- Sum of proper divisors (its aliquot sum) s(n): 1258483392
- 480129120 is an abundant number, because the sum of its proper divisors (1258483392) is greater than itself. Its abundance is 778354272
Bases of 480129120
- Binary: 111001001111000110000011000002
- Hexadecimal: 0x1C9E3060
- Base-36: 7XUU00
Squares and roots of 480129120
- 480129120 squared (4801291202) is 230523971871974400
- 480129120 cubed (4801291203) is 110681271753795821334528000
-
The
square root of 480129120 is 21911.8488494239 -
The
cube root of 480129120 is 783.0437285657
Scales and comparisons
How big is 480129120?- 480,129,120 seconds is equal to 15 years, 13 weeks, 6 days, 1 hour, 12 minutes.
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To count from 1 to 480,129,120 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 480129120 cubic inches would be around 65.3 feet tall.
Recreational maths with 480129120
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