490400768
490,400,768 is an even composite number composed of five prime numbers multiplied together.
490400768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 490400768:
210 × 11 × 13 × 17 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 17 × 197)See below for interesting mathematical facts about the number 490400768 from the Numbermatics database.
Names of 490400768
- Cardinal: 490400768 can be written as Four hundred ninety million, four hundred thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.90400768 × 108
Factors of 490400768
Divisors of 490400768
- Number of divisors d(n): 176
-
Complete list of divisors:
1 2 4 8 11 13 16 17 22 26 32 34 44 52 64 68 88 104 128 136 143 176 187 197 208 221 256 272 286 352 374 394 416 442 512 544 572 704 748 788 832 884 1024 1088 1144 1408 1496 1576 1664 1768 2167 2176 2288 2431 2561 2816 2992 3152 3328 3349 3536 4334 4352 4576 4862 5122 5632 5984 6304 6656 6698 7072 8668 8704 9152 9724 10244 11264 11968 12608 13312 13396 14144 17336 17408 18304 19448 20488 23936 25216 26792 28171 28288 34672 36608 36839 38896 40976 43537 47872 50432 53584 56342 56576 69344 73216 73678 77792 81952 87074 95744 100864 107168 112684 113152 138688 146432 147356 155584 163904 174148 191488 201728 214336 225368 226304 277376 294712 311168 327808 348296 428672 450736 478907 554752 589424 622336 655616 696592 857344 901472 957814 1109504 1178848 1244672 1311232 1393184 1714688 1802944 1915628 2219008 2357696 2489344 2622464 2786368 3429376 3605888 3831256 4715392 5572736 7211776 7662512 9430784 11145472 14423552 15325024 18861568 22290944 28847104 30650048 37723136 44581888 61300096 122600192 245200384 490400768
- Sum of all divisors σ(n): 1225645344
- Sum of proper divisors (its aliquot sum) s(n): 735244576
- 490400768 is an abundant number, because the sum of its proper divisors (735244576) is greater than itself. Its abundance is 244843808
Bases of 490400768
- Binary: 111010011101011101100000000002
- Hexadecimal: 0x1D3AEC00
- Base-36: 83YZNK
Squares and roots of 490400768
- 490400768 squared (4904007682) is 240492913254989824
- 490400768 cubed (4904007683) is 117937909358804389521784832
-
The
square root of 490400768 is 22144.9941973351 -
The
cube root of 490400768 is 788.5883930297
Scales and comparisons
How big is 490400768?- 490,400,768 seconds is equal to 15 years, 30 weeks, 5 days, 22 hours, 26 minutes, 8 seconds.
-
To count from 1 to 490,400,768 would take you about twenty-three 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 490400768 cubic inches would be around 65.7 feet tall.
Recreational maths with 490400768
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 490400768 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 490400768 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/490400768/
Chicago style:
Numbermatics. 2024. "Number 490400768 - Facts about the integer". https://numbermatics.com/n/490400768/
The information we have on file for 490400768 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 490400768, math, Factors of 490400768, curriculum, school, college, exams, university, Prime factorization of 490400768, STEM, science, technology, engineering, physics, economics, calculator, four hundred ninety million, four hundred thousand, seven hundred sixty-eight.