428529120
428,529,120 is an even composite number composed of five prime numbers multiplied together.
428529120 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 428529120:
25 × 3 × 5 × 312 × 929
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 31 × 31 × 929)See below for interesting mathematical facts about the number 428529120 from the Numbermatics database.
Names of 428529120
- Cardinal: 428529120 can be written as Four hundred twenty-eight million, five hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2852912 × 108
Factors of 428529120
Divisors of 428529120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 929 930 961 992 1240 1488 1858 1860 1922 2480 2787 2883 2976 3716 3720 3844 4645 4805 4960 5574 5766 7432 7440 7688 9290 9610 11148 11532 13935 14415 14864 14880 15376 18580 19220 22296 23064 27870 28799 28830 29728 30752 37160 38440 44592 46128 55740 57598 57660 74320 76880 86397 89184 92256 111480 115196 115320 143995 148640 153760 172794 222960 230392 230640 287990 345588 431985 445920 460784 461280 575980 691176 863970 892769 921568 1151960 1382352 1727940 1785538 2303920 2678307 2764704 3455880 3571076 4463845 4607840 5356614 6911760 7142152 8927690 10713228 13391535 13823520 14284304 17855380 21426456 26783070 28568608 35710760 42852912 53566140 71421520 85705824 107132280 142843040 214264560 428529120
- Sum of all divisors σ(n): 1396316880
- Sum of proper divisors (its aliquot sum) s(n): 967787760
- 428529120 is an abundant number, because the sum of its proper divisors (967787760) is greater than itself. Its abundance is 539258640
Bases of 428529120
- Binary: 110011000101011010101111000002
- Hexadecimal: 0x198AD5E0
- Base-36: 734V6O
Squares and roots of 428529120
- 428529120 squared (4285291202) is 183637206687974400
- 428529120 cubed (4285291203) is 78693890581255784214528000
-
The
square root of 428529120 is 20700.9449059699 -
The
cube root of 428529120 is 753.9226304155
Scales and comparisons
How big is 428529120?- 428,529,120 seconds is equal to 13 years, 32 weeks, 3 days, 19 hours, 52 minutes.
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To count from 1 to 428,529,120 would take you about twenty 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 428529120 cubic inches would be around 62.8 feet tall.
Recreational maths with 428529120
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