30146688
30,146,688 is an even composite number composed of five prime numbers multiplied together.
30146688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 30146688:
27 × 33 × 11 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 61)See below for interesting mathematical facts about the number 30146688 from the Numbermatics database.
Names of 30146688
- Cardinal: 30146688 can be written as Thirty million, one hundred forty-six thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 3.0146688 × 107
Factors of 30146688
Divisors of 30146688
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 61 64 66 72 78 88 96 99 104 108 117 122 128 132 143 144 156 176 183 192 198 208 216 234 244 264 286 288 297 312 351 352 366 384 396 416 429 432 468 488 528 549 572 576 594 624 671 702 704 732 792 793 832 858 864 936 976 1056 1098 1144 1152 1188 1248 1287 1342 1404 1408 1464 1584 1586 1647 1664 1716 1728 1872 1952 2013 2112 2196 2288 2376 2379 2496 2574 2684 2808 2928 3168 3172 3294 3432 3456 3744 3861 3904 4026 4224 4392 4576 4752 4758 4992 5148 5368 5616 5856 6039 6336 6344 6588 6864 7137 7488 7722 7808 8052 8723 8784 9152 9504 9516 10296 10736 11232 11712 12078 12672 12688 13176 13728 14274 14976 15444 16104 17446 17568 18117 18304 19008 19032 20592 21411 21472 22464 23424 24156 25376 26169 26352 27456 28548 30888 32208 34892 35136 36234 38016 38064 41184 42822 42944 44928 48312 50752 52338 52704 54912 57096 61776 64416 69784 70272 72468 76128 78507 82368 85644 85888 96624 101504 104676 105408 114192 123552 128832 139568 144936 152256 157014 164736 171288 193248 209352 210816 228384 235521 247104 257664 279136 289872 304512 314028 342576 386496 418704 456768 471042 494208 558272 579744 628056 685152 772992 837408 913536 942084 1116544 1159488 1256112 1370304 1674816 1884168 2318976 2512224 2740608 3349632 3768336 5024448 7536672 10048896 15073344 30146688
- Sum of all divisors σ(n): 106243200
- Sum of proper divisors (its aliquot sum) s(n): 76096512
- 30146688 is an abundant number, because the sum of its proper divisors (76096512) is greater than itself. Its abundance is 45949824
Bases of 30146688
- Binary: 11100110000000000100000002
- Hexadecimal: 0x1CC0080
- Base-36: HY5C0
Squares and roots of 30146688
- 30146688 squared (301466882) is 908822797369344
- 30146688 cubed (301466883) is 27397997319580834332672
-
The
square root of 30146688 is 5490.5999672167 -
The
cube root of 30146688 is 311.2288648735
Scales and comparisons
How big is 30146688?- 30,146,688 seconds is equal to 49 weeks, 5 days, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 30,146,688 would take you about twenty-two weeks!
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 30146688 cubic inches would be around 25.9 feet tall.
Recreational maths with 30146688
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 30146688 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 30146688 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/30146688/
Chicago style:
Numbermatics. 2024. "Number 30146688 - Facts about the integer". https://numbermatics.com/n/30146688/
The information we have on file for 30146688 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 30146688, math, Factors of 30146688, curriculum, school, college, exams, university, Prime factorization of 30146688, STEM, science, technology, engineering, physics, economics, calculator, thirty million, one hundred forty-six thousand, six hundred eighty-eight.