428971520
428,971,520 is an even composite number composed of five prime numbers multiplied together.
428971520 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 428971520:
29 × 5 × 41 × 61 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 41 × 61 × 67)See below for interesting mathematical facts about the number 428971520 from the Numbermatics database.
Names of 428971520
- Cardinal: 428971520 can be written as Four hundred twenty-eight million, nine hundred seventy-one thousand, five hundred twenty.
Scientific notation
- Scientific notation: 4.2897152 × 108
Factors of 428971520
Divisors of 428971520
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 5 8 10 16 20 32 40 41 61 64 67 80 82 122 128 134 160 164 205 244 256 268 305 320 328 335 410 488 512 536 610 640 656 670 820 976 1072 1220 1280 1312 1340 1640 1952 2144 2440 2501 2560 2624 2680 2747 3280 3904 4087 4288 4880 5002 5248 5360 5494 6560 7808 8174 8576 9760 10004 10496 10720 10988 12505 13120 13735 15616 16348 17152 19520 20008 20435 20992 21440 21976 25010 26240 27470 31232 32696 34304 39040 40016 40870 42880 43952 50020 52480 54940 65392 78080 80032 81740 85760 87904 100040 104960 109880 130784 156160 160064 163480 167567 171520 175808 200080 219760 261568 320128 326960 335134 351616 400160 439520 523136 640256 653920 670268 703232 800320 837835 879040 1046272 1280512 1307840 1340536 1406464 1600640 1675670 1758080 2092544 2615680 2681072 3201280 3351340 3516160 5231360 5362144 6402560 6702680 7032320 10462720 10724288 13405360 21448576 26810720 42897152 53621440 85794304 107242880 214485760 428971520
- Sum of all divisors σ(n): 1086867936
- Sum of proper divisors (its aliquot sum) s(n): 657896416
- 428971520 is an abundant number, because the sum of its proper divisors (657896416) is greater than itself. Its abundance is 228924896
Bases of 428971520
- Binary: 110011001000110010110000000002
- Hexadecimal: 0x19919600
- Base-36: 73ECJK
Squares and roots of 428971520
- 428971520 squared (4289715202) is 184016564971110400
- 428971520 cubed (4289715203) is 78937865580835984375808000
-
The
square root of 428971520 is 20711.6276521185 -
The
cube root of 428971520 is 754.1819831991
Scales and comparisons
How big is 428971520?- 428,971,520 seconds is equal to 13 years, 33 weeks, 1 day, 22 hours, 45 minutes, 20 seconds.
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To count from 1 to 428,971,520 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 428971520 cubic inches would be around 62.8 feet tall.
Recreational maths with 428971520
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