428380960
428,380,960 is an even composite number composed of six prime numbers multiplied together.
428380960 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 428380960:
25 × 5 × 7 × 17 × 149 × 151
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 149 × 151)See below for interesting mathematical facts about the number 428380960 from the Numbermatics database.
Names of 428380960
- Cardinal: 428380960 can be written as Four hundred twenty-eight million, three hundred eighty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.2838096 × 108
Factors of 428380960
Divisors of 428380960
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 149 151 160 170 224 238 272 280 298 302 340 476 544 560 595 596 604 680 745 755 952 1043 1057 1120 1190 1192 1208 1360 1490 1510 1904 2086 2114 2380 2384 2416 2533 2567 2720 2980 3020 3808 4172 4228 4760 4768 4832 5066 5134 5215 5285 5960 6040 8344 8456 9520 10132 10268 10430 10570 11920 12080 12665 12835 16688 16912 17731 17969 19040 20264 20536 20860 21140 22499 23840 24160 25330 25670 33376 33824 35462 35938 40528 41072 41720 42280 44998 50660 51340 70924 71876 81056 82144 83440 84560 88655 89845 89996 101320 102680 112495 141848 143752 157493 166880 169120 177310 179690 179992 202640 205360 224990 283696 287504 314986 354620 359380 359984 382483 405280 410720 449980 567392 575008 629972 709240 718760 719968 764966 787465 899960 1259944 1418480 1437520 1529932 1574930 1799920 1912415 2519888 2677381 2836960 2875040 3059864 3149860 3599840 3824830 5039776 5354762 6119728 6299720 7649660 10709524 12239456 12599440 13386905 15299320 21419048 25198880 26773810 30598640 42838096 53547620 61197280 85676192 107095240 214190480 428380960
- Sum of all divisors σ(n): 1241049600
- Sum of proper divisors (its aliquot sum) s(n): 812668640
- 428380960 is an abundant number, because the sum of its proper divisors (812668640) is greater than itself. Its abundance is 384287680
Bases of 428380960
- Binary: 110011000100010010011001000002
- Hexadecimal: 0x19889320
- Base-36: 731OV4
Squares and roots of 428380960
- 428380960 squared (4283809602) is 183510246890521600
- 428380960 cubed (4283809603) is 78612295732798657908736000
-
The
square root of 428380960 is 20697.3660159935 -
The
cube root of 428380960 is 753.8357331295
Scales and comparisons
How big is 428380960?- 428,380,960 seconds is equal to 13 years, 32 weeks, 2 days, 2 hours, 42 minutes, 40 seconds.
-
To count from 1 to 428,380,960 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 428380960 cubic inches would be around 62.8 feet tall.
Recreational maths with 428380960
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 428380960 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 428380960 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/428380960/
Chicago style:
Numbermatics. 2024. "Number 428380960 - Facts about the integer". https://numbermatics.com/n/428380960/
The information we have on file for 428380960 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 428380960, math, Factors of 428380960, curriculum, school, college, exams, university, Prime factorization of 428380960, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight million, three hundred eighty thousand, nine hundred sixty.