428413920
428,413,920 is an even composite number composed of six prime numbers multiplied together.
428413920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 428413920:
25 × 3 × 5 × 11 × 41 × 1979
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 41 × 1979)See below for interesting mathematical facts about the number 428413920 from the Numbermatics database.
Names of 428413920
- Cardinal: 428413920 can be written as Four hundred twenty-eight million, four hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.2841392 × 108
Factors of 428413920
Divisors of 428413920
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 41 44 48 55 60 66 80 82 88 96 110 120 123 132 160 164 165 176 205 220 240 246 264 328 330 352 410 440 451 480 492 528 615 656 660 820 880 902 984 1056 1230 1312 1320 1353 1640 1760 1804 1968 1979 2255 2460 2640 2706 3280 3608 3936 3958 4510 4920 5280 5412 5937 6560 6765 7216 7916 9020 9840 9895 10824 11874 13530 14432 15832 18040 19680 19790 21648 21769 23748 27060 29685 31664 36080 39580 43296 43538 47496 54120 59370 63328 65307 72160 79160 81139 87076 94992 108240 108845 118740 130614 158320 162278 174152 189984 216480 217690 237480 243417 261228 316640 324556 326535 348304 405695 435380 474960 486834 522456 649112 653070 696608 811390 870760 892529 949920 973668 1044912 1217085 1298224 1306140 1622780 1741520 1785058 1947336 2089824 2434170 2596448 2612280 2677587 3245560 3483040 3570116 3894672 4462645 4868340 5224560 5355174 6491120 7140232 7789344 8925290 9736680 10449120 10710348 12982240 13387935 14280464 17850580 19473360 21420696 26775870 28560928 35701160 38946720 42841392 53551740 71402320 85682784 107103480 142804640 214206960 428413920
- Sum of all divisors σ(n): 1508855040
- Sum of proper divisors (its aliquot sum) s(n): 1080441120
- 428413920 is an abundant number, because the sum of its proper divisors (1080441120) is greater than itself. Its abundance is 652027200
Bases of 428413920
- Binary: 110011000100100010011111000002
- Hexadecimal: 0x198913E0
- Base-36: 732EAO
Squares and roots of 428413920
- 428413920 squared (4284139202) is 183538486849766400
- 428413920 cubed (4284139203) is 78630442622176874508288000
-
The
square root of 428413920 is 20698.1622372615 -
The
cube root of 428413920 is 753.8550662239
Scales and comparisons
How big is 428413920?- 428,413,920 seconds is equal to 13 years, 32 weeks, 2 days, 11 hours, 52 minutes.
-
To count from 1 to 428,413,920 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 428413920 cubic inches would be around 62.8 feet tall.
Recreational maths with 428413920
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 428413920 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.
APA style:
Numbermatics. (2024). Number 428413920 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/428413920/
Chicago style:
Numbermatics. 2024. "Number 428413920 - Facts about the integer". https://numbermatics.com/n/428413920/
The information we have on file for 428413920 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 428413920, math, Factors of 428413920, curriculum, school, college, exams, university, Prime factorization of 428413920, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight million, four hundred thirteen thousand, nine hundred twenty.