131068168
131,068,168 is an even composite number composed of five prime numbers multiplied together.
131068168 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 131068168:
23 × 7 × 112 × 23 × 292
(2 × 2 × 2 × 7 × 11 × 11 × 23 × 29 × 29)See below for interesting mathematical facts about the number 131068168 from the Numbermatics database.
Names of 131068168
- Cardinal: 131068168 can be written as One hundred thirty-one million, sixty-eight thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31068168 × 108
Factors of 131068168
Divisors of 131068168
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 11 14 22 23 28 29 44 46 56 58 77 88 92 116 121 154 161 184 203 232 242 253 308 319 322 406 484 506 616 638 644 667 812 841 847 968 1012 1276 1288 1334 1624 1682 1694 1771 2024 2233 2552 2668 2783 3364 3388 3509 3542 4466 4669 5336 5566 5887 6728 6776 7018 7084 7337 8932 9251 9338 11132 11774 14036 14168 14674 17864 18502 18676 19343 19481 22264 23548 24563 28072 29348 37004 37352 38686 38962 47096 49126 51359 58696 64757 74008 77372 77924 80707 98252 101761 102718 129514 135401 154744 155848 161414 196504 203522 205436 212773 259028 270802 322828 407044 410872 425546 518056 541604 564949 645656 712327 814088 851092 1083208 1129898 1424654 1489411 1702184 2259796 2340503 2849308 2978822 4519592 4681006 5698616 5957644 9362012 11915288 16383521 18724024 32767042 65534084 131068168
- Sum of all divisors σ(n): 333627840
- Sum of proper divisors (its aliquot sum) s(n): 202559672
- 131068168 is an abundant number, because the sum of its proper divisors (202559672) is greater than itself. Its abundance is 71491504
Bases of 131068168
- Binary: 1111100111111110001000010002
- Hexadecimal: 0x7CFF108
- Base-36: 2618UG
Squares and roots of 131068168
- 131068168 squared (1310681682) is 17178864662876224
- 131068168 cubed (1310681683) is 2251602319683124290437632
-
The
square root of 131068168 is 11448.5006878631 -
The
cube root of 131068168 is 507.9633862879
Scales and comparisons
How big is 131068168?- 131,068,168 seconds is equal to 4 years, 8 weeks, 4 days, 23 hours, 49 minutes, 28 seconds.
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To count from 1 to 131,068,168 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 131068168 cubic inches would be around 42.3 feet tall.
Recreational maths with 131068168
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