468134240
468,134,240 is an even composite number composed of five prime numbers multiplied together.
468134240 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 468134240:
25 × 5 × 72 × 292 × 71
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 29 × 29 × 71)See below for interesting mathematical facts about the number 468134240 from the Numbermatics database.
Names of 468134240
- Cardinal: 468134240 can be written as Four hundred sixty-eight million, one hundred thirty-four thousand, two hundred forty.
Scientific notation
- Scientific notation: 4.6813424 × 108
Factors of 468134240
Divisors of 468134240
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 49 56 58 70 71 80 98 112 116 140 142 145 160 196 203 224 232 245 280 284 290 355 392 406 464 490 497 560 568 580 710 784 812 841 928 980 994 1015 1120 1136 1160 1420 1421 1568 1624 1682 1960 1988 2030 2059 2272 2320 2485 2840 2842 3248 3364 3479 3920 3976 4060 4118 4205 4640 4970 5680 5684 5887 6496 6728 6958 7105 7840 7952 8120 8236 8410 9940 10295 11360 11368 11774 13456 13916 14210 14413 15904 16240 16472 16820 17395 19880 20590 22736 23548 26912 27832 28420 28826 29435 32480 32944 33640 34790 39760 41180 41209 45472 47096 55664 56840 57652 58870 59711 65888 67280 69580 72065 79520 82360 82418 94192 100891 111328 113680 115304 117740 119422 134560 139160 144130 164720 164836 188384 201782 206045 227360 230608 235480 238844 278320 288260 298555 329440 329672 403564 412090 417977 461216 470960 477688 504455 556640 576520 597110 659344 807128 824180 835954 941920 955376 1008910 1153040 1194220 1318688 1614256 1648360 1671908 1910752 2017820 2089885 2306080 2388440 2925839 3228512 3296720 3343816 4035640 4179770 4776880 5851678 6593440 6687632 8071280 8359540 9553760 11703356 13375264 14629195 16142560 16719080 23406712 29258390 33438160 46813424 58516780 66876320 93626848 117033560 234067120 468134240
- Sum of all divisors σ(n): 1351192752
- Sum of proper divisors (its aliquot sum) s(n): 883058512
- 468134240 is an abundant number, because the sum of its proper divisors (883058512) is greater than itself. Its abundance is 414924272
Bases of 468134240
- Binary: 110111110011100101001011000002
- Hexadecimal: 0x1BE72960
- Base-36: 7QPQOW
Squares and roots of 468134240
- 468134240 squared (4681342402) is 219149666660377600
- 468134240 cubed (4681342403) is 102591462648309205889024000
-
The
square root of 468134240 is 21636.4100534261 -
The
cube root of 468134240 is 776.4678335307
Scales and comparisons
How big is 468134240?- 468,134,240 seconds is equal to 14 years, 46 weeks, 5 hours, 17 minutes, 20 seconds.
-
To count from 1 to 468,134,240 would take you about twenty-two 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 468134240 cubic inches would be around 64.7 feet tall.
Recreational maths with 468134240
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 468134240 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 468134240 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/468134240/
Chicago style:
Numbermatics. 2024. "Number 468134240 - Facts about the integer". https://numbermatics.com/n/468134240/
The information we have on file for 468134240 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 468134240, math, Factors of 468134240, curriculum, school, college, exams, university, Prime factorization of 468134240, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-eight million, one hundred thirty-four thousand, two hundred forty.