138138945
138,138,945 is an odd composite number composed of five prime numbers multiplied together.
138138945 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 138138945:
3 × 5 × 7 × 312 × 372
(3 × 5 × 7 × 31 × 31 × 37 × 37)See below for interesting mathematical facts about the number 138138945 from the Numbermatics database.
Names of 138138945
- Cardinal: 138138945 can be written as One hundred thirty-eight million, one hundred thirty-eight thousand, nine hundred forty-five.
Scientific notation
- Scientific notation: 1.38138945 × 108
Factors of 138138945
Divisors of 138138945
- Number of divisors d(n): 72
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Complete list of divisors:
1 3 5 7 15 21 31 35 37 93 105 111 155 185 217 259 465 555 651 777 961 1085 1147 1295 1369 2883 3255 3441 3885 4107 4805 5735 6727 6845 8029 9583 14415 17205 20181 20535 24087 28749 33635 35557 40145 42439 47915 100905 106671 120435 127317 143745 177785 212195 248899 297073 533355 636585 746697 891219 1244495 1315609 1485365 3733485 3946827 4456095 6578045 9209263 19734135 27627789 46046315 138138945
- Sum of all divisors σ(n): 268252992
- Sum of proper divisors (its aliquot sum) s(n): 130114047
- 138138945 is a deficient number, because the sum of its proper divisors (130114047) is less than itself. Its deficiency is 8024898
Bases of 138138945
- Binary: 10000011101111010101010000012
- Hexadecimal: 0x83BD541
- Base-36: 2A8SOX
Squares and roots of 138138945
- 138138945 squared (1381389452) is 19082368125713025
- 138138945 cubed (1381389453) is 2636018200987624646258625
-
The
square root of 138138945 is 11753.2525285559 -
The
cube root of 138138945 is 516.9383016087
Scales and comparisons
How big is 138138945?- 138,138,945 seconds is equal to 4 years, 20 weeks, 2 days, 19 hours, 55 minutes, 45 seconds.
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To count from 1 to 138,138,945 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 138138945 cubic inches would be around 43.1 feet tall.
Recreational maths with 138138945
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