131628945
131,628,945 is an odd composite number composed of six prime numbers multiplied together.
131628945 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 131628945:
3 × 5 × 72 × 31 × 53 × 109
(3 × 5 × 7 × 7 × 31 × 53 × 109)See below for interesting mathematical facts about the number 131628945 from the Numbermatics database.
Names of 131628945
- Cardinal: 131628945 can be written as One hundred thirty-one million, six hundred twenty-eight thousand, nine hundred forty-five.
Scientific notation
- Scientific notation: 1.31628945 × 108
Factors of 131628945
Divisors of 131628945
- Number of divisors d(n): 96
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Complete list of divisors:
1 3 5 7 15 21 31 35 49 53 93 105 109 147 155 159 217 245 265 327 371 465 545 651 735 763 795 1085 1113 1519 1635 1643 1855 2289 2597 3255 3379 3815 4557 4929 5341 5565 5777 7595 7791 8215 10137 11445 11501 12985 16023 16895 17331 22785 23653 24645 26705 28885 34503 38955 40439 50685 57505 70959 80115 80507 86655 118265 121317 165571 172515 179087 202195 241521 283073 354795 402535 496713 537261 606585 827855 849219 895435 1207605 1253609 1415365 2483565 2686305 3760827 4246095 6268045 8775263 18804135 26325789 43876315 131628945
- Sum of all divisors σ(n): 260029440
- Sum of proper divisors (its aliquot sum) s(n): 128400495
- 131628945 is a deficient number, because the sum of its proper divisors (128400495) is less than itself. Its deficiency is 3228450
Bases of 131628945
- Binary: 1111101100001111111100100012
- Hexadecimal: 0x7D87F91
- Base-36: 26D9JL
Squares and roots of 131628945
- 131628945 squared (1316289452) is 17326179161813025
- 131628945 cubed (1316289453) is 2280626683950432768008625
-
The
square root of 131628945 is 11472.9658327741 -
The
cube root of 131628945 is 508.6867983877
Scales and comparisons
How big is 131628945?- 131,628,945 seconds is equal to 4 years, 9 weeks, 4 days, 11 hours, 35 minutes, 45 seconds.
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To count from 1 to 131,628,945 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 131628945 cubic inches would be around 42.4 feet tall.
Recreational maths with 131628945
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