428269680
428,269,680 is an even composite number composed of six prime numbers multiplied together.
428269680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 428269680:
24 × 34 × 5 × 29 × 43 × 53
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 29 × 43 × 53)See below for interesting mathematical facts about the number 428269680 from the Numbermatics database.
Names of 428269680
- Cardinal: 428269680 can be written as Four hundred twenty-eight million, two hundred sixty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.2826968 × 108
Factors of 428269680
Divisors of 428269680
- Number of divisors d(n): 400
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 43 45 48 53 54 58 60 72 80 81 86 87 90 106 108 116 120 129 135 144 145 159 162 172 174 180 212 215 216 232 240 258 261 265 270 290 318 324 344 348 360 387 405 424 430 432 435 464 477 516 522 530 540 580 636 645 648 688 696 720 774 783 795 810 848 860 870 954 1032 1044 1060 1080 1160 1161 1247 1272 1290 1296 1305 1392 1431 1537 1548 1566 1590 1620 1720 1740 1908 1935 2064 2088 2120 2160 2279 2320 2322 2349 2385 2494 2544 2580 2610 2862 3074 3096 3132 3180 3240 3440 3480 3483 3741 3816 3870 3915 4176 4240 4293 4558 4611 4644 4698 4770 4988 5160 5220 5724 5805 6148 6192 6235 6264 6360 6480 6837 6960 6966 7155 7482 7632 7685 7740 7830 8586 9116 9222 9288 9396 9540 9976 10320 10440 11223 11395 11448 11610 11745 12296 12470 12528 12720 13674 13833 13932 14310 14964 15370 15480 15660 17172 17415 18232 18444 18576 18705 18792 19080 19952 20511 20880 21465 22446 22790 22896 23055 23220 23490 24592 24940 27348 27666 27864 28620 29928 30740 30960 31320 33669 34185 34344 34830 36464 36888 37410 37584 38160 41022 41499 42930 44892 45580 46110 46440 46980 49880 54696 55332 55728 56115 57240 59856 61480 61533 62640 66091 67338 68370 68688 69165 69660 73776 74820 82044 82998 85860 89784 91160 92220 92880 93960 99760 101007 102555 109392 110664 112230 114480 122960 123066 124497 132182 134676 136740 138330 139320 149640 164088 165996 168345 171720 179568 182320 184440 184599 187920 198273 202014 205110 207495 221328 224460 246132 248994 264364 269352 273480 276660 278640 299280 307665 328176 330455 331992 336690 343440 368880 369198 396546 404028 410220 414990 448920 492264 497988 505035 528728 538704 546960 553320 594819 615330 622485 660910 663984 673380 738396 793092 808056 820440 829980 897840 922995 984528 991365 995976 1010070 1057456 1106640 1189638 1230660 1244970 1321820 1346760 1476792 1586184 1616112 1640880 1659960 1784457 1845990 1982730 1991952 2020140 2379276 2461320 2489940 2643640 2693520 2953584 2974095 3172368 3319920 3568914 3691980 3965460 4040280 4758552 4922640 4979880 5287280 5353371 5948190 7137828 7383960 7930920 8080560 8922285 9517104 9959760 10706742 11896380 14275656 14767920 15861840 17844570 21413484 23792760 26766855 28551312 35689140 42826968 47585520 53533710 71378280 85653936 107067420 142756560 214134840 428269680
- Sum of all divisors σ(n): 1604227680
- Sum of proper divisors (its aliquot sum) s(n): 1175958000
- 428269680 is an abundant number, because the sum of its proper divisors (1175958000) is greater than itself. Its abundance is 747688320
Bases of 428269680
- Binary: 110011000011011100000011100002
- Hexadecimal: 0x1986E070
- Base-36: 72ZB00
Squares and roots of 428269680
- 428269680 squared (4282696802) is 183414918807302400
- 428269680 cubed (4282696803) is 78551048584829380511232000
-
The
square root of 428269680 is 20694.6775766137 -
The
cube root of 428269680 is 753.7704531467
Scales and comparisons
How big is 428269680?- 428,269,680 seconds is equal to 13 years, 32 weeks, 19 hours, 48 minutes.
-
To count from 1 to 428,269,680 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 428269680 cubic inches would be around 62.8 feet tall.
Recreational maths with 428269680
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 428269680 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 428269680 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/428269680/
Chicago style:
Numbermatics. 2024. "Number 428269680 - Facts about the integer". https://numbermatics.com/n/428269680/
The information we have on file for 428269680 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 428269680, math, Factors of 428269680, curriculum, school, college, exams, university, Prime factorization of 428269680, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight million, two hundred sixty-nine thousand, six hundred eighty.