428707125
428,707,125 is an odd composite number composed of five prime numbers multiplied together.
428707125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 428707125:
32 × 53 × 73 × 11 × 101
(3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 101)See below for interesting mathematical facts about the number 428707125 from the Numbermatics database.
Names of 428707125
- Cardinal: 428707125 can be written as Four hundred twenty-eight million, seven hundred seven thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.28707125 × 108
Factors of 428707125
Divisors of 428707125
- Number of divisors d(n): 192
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Complete list of divisors:
1 3 5 7 9 11 15 21 25 33 35 45 49 55 63 75 77 99 101 105 125 147 165 175 225 231 245 275 303 315 343 375 385 441 495 505 525 539 693 707 735 825 875 909 1029 1111 1125 1155 1225 1375 1515 1575 1617 1715 1925 2121 2205 2475 2525 2625 2695 3087 3333 3465 3535 3675 3773 4125 4545 4851 4949 5145 5555 5775 6125 6363 7575 7777 7875 8085 8575 9625 9999 10605 11025 11319 12375 12625 13475 14847 15435 16665 17325 17675 18375 18865 22725 23331 24255 24745 25725 27775 28875 31815 33957 34643 37875 38885 40425 42875 44541 49995 53025 54439 55125 56595 67375 69993 74235 77175 83325 86625 88375 94325 103929 113625 116655 121275 123725 128625 138875 159075 163317 169785 173215 194425 202125 222705 249975 265125 272195 282975 311787 349965 371175 381073 385875 416625 471625 489951 519645 583275 606375 618625 795375 816585 848925 866075 972125 1113525 1143219 1249875 1360975 1414875 1558935 1749825 1855875 1905365 2449755 2598225 2916375 3429657 4082925 4244625 4330375 5567625 5716095 6804875 7794675 8749125 9526825 12248775 12991125 17148285 20414625 28580475 38973375 47634125 61243875 85741425 142902375 428707125
- Sum of all divisors σ(n): 992908800
- Sum of proper divisors (its aliquot sum) s(n): 564201675
- 428707125 is an abundant number, because the sum of its proper divisors (564201675) is greater than itself. Its abundance is 135494550
Bases of 428707125
- Binary: 110011000110110001101001101012
- Hexadecimal: 0x198D8D35
- Base-36: 738OJ9
Squares and roots of 428707125
- 428707125 squared (4287071252) is 183789799025765625
- 428707125 cubed (4287071253) is 78791996344663782017578125
-
The
square root of 428707125 is 20705.2439010025 -
The
cube root of 428707125 is 754.0270056019
Scales and comparisons
How big is 428707125?- 428,707,125 seconds is equal to 13 years, 32 weeks, 5 days, 21 hours, 18 minutes, 45 seconds.
-
To count from 1 to 428,707,125 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 428707125 cubic inches would be around 62.8 feet tall.
Recreational maths with 428707125
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