420485688
420,485,688 is an even composite number composed of six prime numbers multiplied together.
420485688 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 420485688:
23 × 33 × 7 × 47 × 61 × 97
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 47 × 61 × 97)See below for interesting mathematical facts about the number 420485688 from the Numbermatics database.
Names of 420485688
- Cardinal: 420485688 can be written as Four hundred twenty million, four hundred eighty-five thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 4.20485688 × 108
Factors of 420485688
Divisors of 420485688
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 61 63 72 84 94 97 108 122 126 141 168 183 188 189 194 216 244 252 282 291 329 366 376 378 388 423 427 488 504 549 564 582 658 679 732 756 776 846 854 873 987 1098 1128 1164 1269 1281 1316 1358 1464 1512 1647 1692 1708 1746 1974 2037 2196 2328 2538 2562 2619 2632 2716 2867 2961 3294 3384 3416 3492 3843 3948 4074 4392 4559 5076 5124 5238 5432 5734 5917 5922 6111 6588 6984 7686 7896 8148 8601 8883 9118 10152 10248 10476 11468 11529 11834 11844 12222 13176 13677 15372 16296 17202 17751 17766 18236 18333 20069 20952 22936 23058 23668 23688 24444 25803 27354 30744 31913 34404 35502 35532 36472 36666 40138 41031 41419 46116 47336 48888 51606 53253 54708 60207 63826 68808 71004 71064 73332 77409 80276 82062 82838 92232 95739 103212 106506 109416 120414 123093 124257 127652 142008 146664 154818 159759 160552 164124 165676 180621 191478 206424 213012 240828 246186 248514 255304 278099 287217 309636 319518 328248 331352 361242 372771 382956 426024 481656 492372 497028 541863 556198 574434 619272 639036 722484 745542 765912 834297 861651 984744 994056 1083726 1112396 1118313 1148868 1278072 1444968 1491084 1668594 1723302 1946693 2167452 2224792 2236626 2297736 2502891 2982168 3337188 3446604 3893386 4334904 4473252 5005782 5840079 6674376 6893208 7508673 7786772 8946504 10011564 11680158 15017346 15573544 17520237 20023128 23360316 30034692 35040474 46720632 52560711 60069384 70080948 105121422 140161896 210242844 420485688
- Sum of all divisors σ(n): 1399910400
- Sum of proper divisors (its aliquot sum) s(n): 979424712
- 420485688 is an abundant number, because the sum of its proper divisors (979424712) is greater than itself. Its abundance is 558939024
Bases of 420485688
- Binary: 110010001000000011010001110002
- Hexadecimal: 0x19101A38
- Base-36: 6YCGU0
Squares and roots of 420485688
- 420485688 squared (4204856882) is 176808213812833344
- 420485688 cubed (4204856883) is 74345323429140331881180672
-
The
square root of 420485688 is 20505.7476820525 -
The
cube root of 420485688 is 749.1757985881
Scales and comparisons
How big is 420485688?- 420,485,688 seconds is equal to 13 years, 19 weeks, 1 day, 17 hours, 34 minutes, 48 seconds.
-
To count from 1 to 420,485,688 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 420485688 cubic inches would be around 62.4 feet tall.
Recreational maths with 420485688
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 420485688 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 420485688 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/420485688/
Chicago style:
Numbermatics. 2024. "Number 420485688 - Facts about the integer". https://numbermatics.com/n/420485688/
The information we have on file for 420485688 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 420485688, math, Factors of 420485688, curriculum, school, college, exams, university, Prime factorization of 420485688, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty million, four hundred eighty-five thousand, six hundred eighty-eight.