728988120
728,988,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 728988120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 256 divisors.
728988120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 728988120:
23 × 33 × 5 × 7 × 211 × 457
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 211 × 457)See below for interesting mathematical facts about the number 728988120 from the Numbermatics database.
Names of 728988120
- Cardinal: 728988120 can be written as Seven hundred twenty-eight million, nine hundred eighty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 7.2898812 × 108
Factors of 728988120
Divisors of 728988120
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 211 216 252 270 280 315 360 378 420 422 457 504 540 630 633 756 840 844 914 945 1055 1080 1260 1266 1371 1477 1512 1688 1828 1890 1899 2110 2285 2520 2532 2742 2954 3165 3199 3656 3780 3798 4113 4220 4431 4570 5064 5484 5697 5908 6330 6398 6855 7385 7560 7596 8226 8440 8862 9140 9495 9597 10968 11394 11816 12339 12660 12796 13293 13710 14770 15192 15995 16452 17724 18280 18990 19194 20565 22155 22788 24678 25320 25592 26586 27420 28485 28791 29540 31990 32904 35448 37980 38388 39879 41130 44310 45576 47985 49356 53172 54840 56970 57582 59080 61695 63980 66465 75960 76776 79758 82260 86373 88620 95970 96427 98712 106344 113940 115164 123390 127960 132930 143955 159516 164520 172746 177240 191940 192854 199395 227880 230328 246780 265860 287910 289281 319032 345492 383880 385708 398790 431865 482135 493560 531720 575820 578562 674989 690984 771416 797580 863730 867843 964270 1151640 1157124 1349978 1446405 1595160 1727460 1735686 1928540 2024967 2314248 2603529 2699956 2892810 3374945 3454920 3471372 3857080 4049934 4339215 5207058 5399912 5785620 6074901 6749890 6942744 8099868 8678430 10124835 10414116 11571240 12149802 13017645 13499780 16199736 17356860 18224703 20249670 20828232 24299604 26035290 26999560 30374505 34713720 36449406 40499340 48599208 52070580 60749010 72898812 80998680 91123515 104141160 121498020 145797624 182247030 242996040 364494060 728988120
- Sum of all divisors σ(n): 2796364800
- Sum of proper divisors (its aliquot sum) s(n): 2067376680
- 728988120 is an abundant number, because the sum of its proper divisors (2067376680) is greater than itself. Its abundance is 1338388560
Bases of 728988120
- Binary: 1010110111001101111001110110002
- Hexadecimal: 0x2B7379D8
- Base-36: C20QU0
Squares and roots of 728988120
- 728988120 squared (7289881202) is 531423679101134400
- 728988120 cubed (7289881203) is 387401548751419256123328000
-
The
square root of 728988120 is 26999.7799991037 -
The
cube root of 728988120 is 899.9951110845
Scales and comparisons
How big is 728988120?- 728,988,120 seconds is equal to 23 years, 9 weeks, 2 days, 8 hours, 42 minutes.
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To count from 1 to 728,988,120 would take you about thirty-four 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 728988120 cubic inches would be around 75 feet tall.
Recreational maths with 728988120
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