428391480
428,391,480 is an even composite number composed of seven prime numbers multiplied together.
428391480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 428391480:
23 × 3 × 5 × 11 × 192 × 29 × 31
(2 × 2 × 2 × 3 × 5 × 11 × 19 × 19 × 29 × 31)See below for interesting mathematical facts about the number 428391480 from the Numbermatics database.
Names of 428391480
- Cardinal: 428391480 can be written as Four hundred twenty-eight million, three hundred ninety-one thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.2839148 × 108
Factors of 428391480
Divisors of 428391480
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 29 30 31 33 38 40 44 55 57 58 60 62 66 76 87 88 93 95 110 114 116 120 124 132 145 152 155 165 174 186 190 209 220 228 232 248 264 285 290 310 319 330 341 348 361 372 380 418 435 440 456 465 551 570 580 589 620 627 638 660 682 696 722 744 760 836 870 899 930 957 1023 1045 1083 1102 1140 1160 1178 1240 1254 1276 1320 1364 1444 1595 1653 1672 1705 1740 1767 1798 1805 1860 1914 2046 2090 2166 2204 2280 2356 2508 2552 2697 2728 2755 2888 2945 3135 3190 3306 3410 3480 3534 3596 3610 3720 3828 3971 4092 4180 4332 4408 4495 4712 4785 5016 5115 5394 5415 5510 5890 6061 6270 6380 6479 6612 6820 7068 7192 7220 7656 7942 8184 8265 8360 8664 8835 8990 9570 9889 10230 10469 10788 10830 11020 11191 11780 11913 12122 12540 12760 12958 13224 13485 13640 14136 14440 15884 16530 17081 17670 17980 18183 19140 19437 19778 19855 20460 20938 21576 21660 22040 22382 23560 23826 24244 25080 25916 26970 29667 30305 31407 31768 32395 33060 33573 34162 35340 35960 36366 38280 38874 39556 39710 40920 41876 43320 44764 47652 48488 49445 51243 51832 52345 53940 55955 59334 59565 60610 62814 64790 66120 67146 68324 70680 72732 77748 79112 79420 83752 85405 89528 90915 95304 97185 98890 102486 104690 107880 111910 115159 118668 119130 121220 123101 125628 129580 134292 136648 145464 148335 155496 157035 158840 167865 170810 181830 187891 194370 197780 204972 209380 223820 230318 237336 238260 242440 246202 251256 256215 259160 268584 296670 314070 324539 335730 341620 345477 363660 369303 375782 388740 395560 409944 418760 447640 460636 476520 492404 512430 563673 575795 593340 615505 628140 649078 671460 683240 690954 727320 738606 751564 777480 921272 939455 973617 984808 1024860 1127346 1151590 1186680 1231010 1256280 1298156 1342920 1381908 1477212 1503128 1622695 1727385 1846515 1878910 1947234 2049720 2254692 2303180 2462020 2596312 2763816 2818365 2954424 3245390 3454770 3569929 3693030 3757820 3894468 4509384 4606360 4868085 4924040 5636730 6490780 6909540 7139858 7386060 7515640 7788936 9736170 10709787 11273460 12981560 13819080 14279716 14772120 17849645 19472340 21419574 22546920 28559432 35699290 38944680 42839148 53548935 71398580 85678296 107097870 142797160 214195740 428391480
- Sum of all divisors σ(n): 1580083200
- Sum of proper divisors (its aliquot sum) s(n): 1151691720
- 428391480 is an abundant number, because the sum of its proper divisors (1151691720) is greater than itself. Its abundance is 723300240
Bases of 428391480
- Binary: 110011000100010111100001110002
- Hexadecimal: 0x1988BC38
- Base-36: 731WZC
Squares and roots of 428391480
- 428391480 squared (4283914802) is 183519260136590400
- 428391480 cubed (4283914803) is 78618087458418963609792000
-
The
square root of 428391480 is 20697.6201530515 -
The
cube root of 428391480 is 753.8419038727
Scales and comparisons
How big is 428391480?- 428,391,480 seconds is equal to 13 years, 32 weeks, 2 days, 5 hours, 38 minutes.
-
To count from 1 to 428,391,480 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 428391480 cubic inches would be around 62.8 feet tall.
Recreational maths with 428391480
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 428391480 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 428391480 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/428391480/
Chicago style:
Numbermatics. 2024. "Number 428391480 - Facts about the integer". https://numbermatics.com/n/428391480/
The information we have on file for 428391480 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 428391480, math, Factors of 428391480, curriculum, school, college, exams, university, Prime factorization of 428391480, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight million, three hundred ninety-one thousand, four hundred eighty.