428041152
428,041,152 is an even composite number composed of five prime numbers multiplied together.
428041152 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 428041152:
26 × 33 × 7 × 11 × 3217
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 3217)See below for interesting mathematical facts about the number 428041152 from the Numbermatics database.
Names of 428041152
- Cardinal: 428041152 can be written as Four hundred twenty-eight million, forty-one thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 4.28041152 × 108
Factors of 428041152
Divisors of 428041152
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 64 66 72 77 84 88 96 99 108 112 126 132 144 154 168 176 189 192 198 216 224 231 252 264 288 297 308 336 352 378 396 432 448 462 504 528 576 594 616 672 693 704 756 792 864 924 1008 1056 1188 1232 1344 1386 1512 1584 1728 1848 2016 2079 2112 2376 2464 2772 3024 3168 3217 3696 4032 4158 4752 4928 5544 6048 6336 6434 7392 8316 9504 9651 11088 12096 12868 14784 16632 19008 19302 22176 22519 25736 28953 33264 35387 38604 44352 45038 51472 57906 66528 67557 70774 77208 86859 90076 102944 106161 115812 133056 135114 141548 154416 173718 180152 202671 205888 212322 231624 247709 270228 283096 308832 318483 347436 360304 405342 424644 463248 495418 540456 566192 608013 617664 636966 694872 720608 743127 810684 849288 926496 955449 990836 1080912 1132384 1216026 1273932 1389744 1441216 1486254 1621368 1698576 1852992 1910898 1981672 2161824 2229381 2264768 2432052 2547864 2779488 2972508 3242736 3397152 3821796 3963344 4323648 4458762 4864104 5095728 5558976 5945016 6485472 6688143 6794304 7643592 7926688 8917524 9728208 10191456 11890032 12970944 13376286 15287184 15853376 17835048 19456416 20382912 23780064 26752572 30574368 35670096 38912832 47560128 53505144 61148736 71340192 107010288 142680384 214020576 428041152
- Sum of all divisors σ(n): 1569354240
- Sum of proper divisors (its aliquot sum) s(n): 1141313088
- 428041152 is an abundant number, because the sum of its proper divisors (1141313088) is greater than itself. Its abundance is 713271936
Bases of 428041152
- Binary: 110011000001101100011110000002
- Hexadecimal: 0x198363C0
- Base-36: 72UEO0
Squares and roots of 428041152
- 428041152 squared (4280411522) is 183219227805487104
- 428041152 cubed (4280411523) is 78425369338411131917303808
-
The
square root of 428041152 is 20689.1554201713 -
The
cube root of 428041152 is 753.6363567189
Scales and comparisons
How big is 428041152?- 428,041,152 seconds is equal to 13 years, 31 weeks, 5 days, 4 hours, 19 minutes, 12 seconds.
-
To count from 1 to 428,041,152 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 428041152 cubic inches would be around 62.8 feet tall.
Recreational maths with 428041152
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 428041152 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 428041152 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/428041152/
Chicago style:
Numbermatics. 2024. "Number 428041152 - Facts about the integer". https://numbermatics.com/n/428041152/
The information we have on file for 428041152 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 428041152, math, Factors of 428041152, curriculum, school, college, exams, university, Prime factorization of 428041152, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight million, forty-one thousand, one hundred fifty-two.