420542304
420,542,304 is an even composite number composed of five prime numbers multiplied together.
420542304 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 420542304:
25 × 3 × 72 × 132 × 232
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 23 × 23)See below for interesting mathematical facts about the number 420542304 from the Numbermatics database.
Names of 420542304
- Cardinal: 420542304 can be written as Four hundred twenty million, five hundred forty-two thousand, three hundred four.
Scientific notation
- Scientific notation: 4.20542304 × 108
Factors of 420542304
Divisors of 420542304
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 32 39 42 46 48 49 52 56 69 78 84 91 92 96 98 104 112 138 147 156 161 168 169 182 184 196 208 224 273 276 294 299 312 322 336 338 364 368 392 416 483 507 529 546 552 588 598 624 637 644 672 676 728 736 784 897 966 1014 1058 1092 1104 1127 1176 1183 1196 1248 1274 1288 1352 1456 1568 1587 1794 1911 1932 2028 2093 2116 2184 2208 2254 2352 2366 2392 2548 2576 2704 2912 3174 3381 3549 3588 3703 3822 3864 3887 4056 4186 4232 4368 4508 4704 4732 4784 5096 5152 5408 6279 6348 6762 6877 7098 7176 7406 7644 7728 7774 8112 8281 8372 8464 8736 9016 9464 9568 10192 11109 11661 12558 12696 13524 13754 14196 14352 14651 14812 15288 15456 15548 16224 16562 16744 16928 18032 18928 20384 20631 22218 23322 24843 25116 25392 25921 27048 27209 27508 28392 28704 29302 29624 30576 31096 33124 33488 36064 37856 41262 43953 44436 46644 48139 49686 50232 50784 51842 54096 54418 55016 56784 58604 59248 61152 62192 66248 66976 77763 81627 82524 87906 88872 89401 93288 96278 99372 100464 103684 108192 108836 110032 113568 117208 118496 124384 132496 144417 155526 163254 165048 175812 177744 178802 186576 190463 192556 198744 200928 207368 217672 220064 234416 264992 268203 288834 311052 326508 330096 336973 351624 355488 357604 373152 380926 385112 397488 414736 435344 468832 536406 571389 577668 622104 625807 653016 660192 673946 703248 715208 761852 770224 794976 829472 870688 1010919 1072812 1142778 1155336 1244208 1251614 1306032 1347892 1406496 1430416 1523704 1540448 1877421 2021838 2145624 2285556 2310672 2488416 2503228 2612064 2695784 2860832 3047408 3754842 4043676 4291248 4380649 4571112 4621344 5006456 5391568 6094816 7509684 8087352 8582496 8761298 9142224 10012912 10783136 13141947 15019368 16174704 17522596 18284448 20025824 26283894 30038736 32349408 35045192 52567788 60077472 70090384 105135576 140180768 210271152 420542304
- Sum of all divisors σ(n): 1453622436
- Sum of proper divisors (its aliquot sum) s(n): 1033080132
- 420542304 is an abundant number, because the sum of its proper divisors (1033080132) is greater than itself. Its abundance is 612537828
Bases of 420542304
- Binary: 110010001000011110111011000002
- Hexadecimal: 0x1910F760
- Base-36: 6YDOIO
Squares and roots of 420542304
- 420542304 squared (4205423042) is 176855829453628416
- 420542304 cubed (4205423043) is 74375357994259955224510464
-
The
square root of 420542304 is 20507.1281265807 -
The
cube root of 420542304 is 749.2094211619
Scales and comparisons
How big is 420542304?- 420,542,304 seconds is equal to 13 years, 19 weeks, 2 days, 9 hours, 18 minutes, 24 seconds.
-
To count from 1 to 420,542,304 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 420542304 cubic inches would be around 62.4 feet tall.
Recreational maths with 420542304
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 420542304 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 420542304 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/420542304/
Chicago style:
Numbermatics. 2024. "Number 420542304 - Facts about the integer". https://numbermatics.com/n/420542304/
The information we have on file for 420542304 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 420542304, math, Factors of 420542304, curriculum, school, college, exams, university, Prime factorization of 420542304, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty million, five hundred forty-two thousand, three hundred four.