428611680
428,611,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 428611680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
428611680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 428611680:
25 × 32 × 5 × 7 × 101 × 421
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 101 × 421)See below for interesting mathematical facts about the number 428611680 from the Numbermatics database.
Names of 428611680
- Cardinal: 428611680 can be written as Four hundred twenty-eight million, six hundred eleven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.2861168 × 108
Factors of 428611680
Divisors of 428611680
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 101 105 112 120 126 140 144 160 168 180 202 210 224 240 252 280 288 303 315 336 360 404 420 421 480 504 505 560 606 630 672 707 720 808 840 842 909 1008 1010 1120 1212 1260 1263 1414 1440 1515 1616 1680 1684 1818 2016 2020 2105 2121 2424 2520 2526 2828 2947 3030 3232 3360 3368 3535 3636 3789 4040 4210 4242 4545 4848 5040 5052 5656 5894 6060 6315 6363 6736 7070 7272 7578 8080 8420 8484 8841 9090 9696 10080 10104 10605 11312 11788 12120 12630 12726 13472 14140 14544 14735 15156 16160 16840 16968 17682 18180 18945 20208 21210 22624 23576 24240 25260 25452 26523 28280 29088 29470 30312 31815 33680 33936 35364 36360 37890 40416 42420 42521 44205 47152 48480 50520 50904 53046 56560 58940 60624 63630 67360 67872 70728 72720 75780 84840 85042 88410 94304 101040 101808 106092 113120 117880 121248 127260 127563 132615 141456 145440 151560 169680 170084 176820 202080 203616 212184 212605 235760 254520 255126 265230 282912 297647 303120 339360 340168 353640 382689 424368 425210 471520 509040 510252 530460 595294 606240 637815 680336 707280 765378 848736 850420 892941 1018080 1020504 1060920 1190588 1275630 1360672 1414560 1488235 1530756 1700840 1785882 1913445 2041008 2121840 2381176 2551260 2678823 2976470 3061512 3401680 3571764 3826890 4082016 4243680 4464705 4762352 5102520 5357646 5952940 6123024 6803360 7143528 7653780 8929410 9524704 10205040 10715292 11905880 12246048 13394115 14287056 15307560 17858820 20410080 21430584 23811760 26788230 28574112 30615120 35717640 42861168 47623520 53576460 61230240 71435280 85722336 107152920 142870560 214305840 428611680
- Sum of all divisors σ(n): 1692145728
- Sum of proper divisors (its aliquot sum) s(n): 1263534048
- 428611680 is an abundant number, because the sum of its proper divisors (1263534048) is greater than itself. Its abundance is 834922368
Bases of 428611680
- Binary: 110011000110000011000011000002
- Hexadecimal: 0x198C1860
- Base-36: 736MW0
Squares and roots of 428611680
- 428611680 squared (4286116802) is 183707972232422400
- 428611680 cubed (4286116803) is 78739382607931915333632000
-
The
square root of 428611680 is 20702.9389218051 -
The
cube root of 428611680 is 753.9710439715
Scales and comparisons
How big is 428611680?- 428,611,680 seconds is equal to 13 years, 32 weeks, 4 days, 18 hours, 48 minutes.
-
To count from 1 to 428,611,680 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 428611680 cubic inches would be around 62.8 feet tall.
Recreational maths with 428611680
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 428611680 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 428611680 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/428611680/
Chicago style:
Numbermatics. 2024. "Number 428611680 - Facts about the integer". https://numbermatics.com/n/428611680/
The information we have on file for 428611680 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 428611680, math, Factors of 428611680, curriculum, school, college, exams, university, Prime factorization of 428611680, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight million, six hundred eleven thousand, six hundred eighty.