131168430
131,168,430 is an even composite number composed of five prime numbers multiplied together.
131168430 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 131168430:
2 × 33 × 5 × 172 × 412
(2 × 3 × 3 × 3 × 5 × 17 × 17 × 41 × 41)See below for interesting mathematical facts about the number 131168430 from the Numbermatics database.
Names of 131168430
- Cardinal: 131168430 can be written as One hundred thirty-one million, one hundred sixty-eight thousand, four hundred thirty.
Scientific notation
- Scientific notation: 1.3116843 × 108
Factors of 131168430
Divisors of 131168430
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 5 6 9 10 15 17 18 27 30 34 41 45 51 54 82 85 90 102 123 135 153 170 205 246 255 270 289 306 369 410 459 510 578 615 697 738 765 867 918 1107 1230 1394 1445 1530 1681 1734 1845 2091 2214 2295 2601 2890 3362 3485 3690 4182 4335 4590 5043 5202 5535 6273 6970 7803 8405 8670 10086 10455 11070 11849 12546 13005 15129 15606 16810 18819 20910 23698 25215 26010 28577 30258 31365 35547 37638 39015 45387 50430 57154 59245 62730 71094 75645 78030 85731 90774 94095 106641 118490 142885 151290 171462 177735 188190 213282 226935 257193 285770 319923 355470 428655 453870 485809 514386 533205 639846 771579 857310 971618 1066410 1285965 1457427 1543158 1599615 2429045 2571930 2914854 3199230 3857895 4372281 4858090 7287135 7715790 8744562 13116843 14574270 21861405 26233686 43722810 65584215 131168430
- Sum of all divisors σ(n): 380851920
- Sum of proper divisors (its aliquot sum) s(n): 249683490
- 131168430 is an abundant number, because the sum of its proper divisors (249683490) is greater than itself. Its abundance is 118515060
Bases of 131168430
- Binary: 1111101000101111000101011102
- Hexadecimal: 0x7D178AE
- Base-36: 263E7I
Squares and roots of 131168430
- 131168430 squared (1311684302) is 17205157028664900
- 131168430 cubed (1311684303) is 2256773435353439929107000
-
The
square root of 131168430 is 11452.8786774331 -
The
cube root of 131168430 is 508.0928772875
Scales and comparisons
How big is 131168430?- 131,168,430 seconds is equal to 4 years, 8 weeks, 6 days, 3 hours, 40 minutes, 30 seconds.
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To count from 1 to 131,168,430 would take you about six 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 131168430 cubic inches would be around 42.3 feet tall.
Recreational maths with 131168430
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