428128512
428,128,512 is an even composite number composed of five prime numbers multiplied together.
428128512 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 428128512:
28 × 3 × 7 × 97 × 821
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 97 × 821)See below for interesting mathematical facts about the number 428128512 from the Numbermatics database.
Names of 428128512
- Cardinal: 428128512 can be written as Four hundred twenty-eight million, one hundred twenty-eight thousand, five hundred twelve.
Scientific notation
- Scientific notation: 4.28128512 × 108
Factors of 428128512
Divisors of 428128512
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 128 168 192 194 224 256 291 336 384 388 448 582 672 679 768 776 821 896 1164 1344 1358 1552 1642 1792 2037 2328 2463 2688 2716 3104 3284 4074 4656 4926 5376 5432 5747 6208 6568 8148 9312 9852 10864 11494 12416 13136 16296 17241 18624 19704 21728 22988 24832 26272 32592 34482 37248 39408 43456 45976 52544 65184 68964 74496 78816 79637 86912 91952 105088 130368 137928 157632 159274 173824 183904 210176 238911 260736 275856 315264 318548 367808 477822 521472 551712 557459 630528 637096 735616 955644 1103424 1114918 1274192 1471232 1672377 1911288 2206848 2229836 2548384 3344754 3822576 4413696 4459672 5096768 6689508 7645152 8919344 10193536 13379016 15290304 17838688 20387072 26758032 30580608 35677376 53516064 61161216 71354752 107032128 142709504 214064256 428128512
- Sum of all divisors σ(n): 1317251712
- Sum of proper divisors (its aliquot sum) s(n): 889123200
- 428128512 is an abundant number, because the sum of its proper divisors (889123200) is greater than itself. Its abundance is 460994688
Bases of 428128512
- Binary: 110011000010010111001000000002
- Hexadecimal: 0x1984B900
- Base-36: 72WA2O
Squares and roots of 428128512
- 428128512 squared (4281285122) is 183294022787334144
- 428128512 cubed (4281285123) is 78473397234435459517513728
-
The
square root of 428128512 is 20691.2665634561 -
The
cube root of 428128512 is 753.6876237475
Scales and comparisons
How big is 428128512?- 428,128,512 seconds is equal to 13 years, 31 weeks, 6 days, 4 hours, 35 minutes, 12 seconds.
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To count from 1 to 428,128,512 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 428128512 cubic inches would be around 62.8 feet tall.
Recreational maths with 428128512
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"Number 428128512 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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