It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 413 978 609 is not a prime number.
For example, 413 978 609 can be divided by 11: 413 978 609 / 11 = 37 634 419.
For 413 978 609 to be a prime number, it would have been required that 413 978 609 has only two divisors, i.e., itself and 1.
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413 978 609 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 413 978 609 is about 20 346.464.
Thus, the square root of 413 978 609 is not an integer, and therefore 413 978 609 is not a square number.
The square of a number (here 413 978 609) is the result of the product of this number (413 978 609) by itself (i.e., 413 978 609 × 413 978 609); the square of 413 978 609 is sometimes called "raising 413 978 609 to the power 2", or "413 978 609 squared".
The square of 413 978 609 is 171 378 288 709 574 880 because 413 978 609 × 413 978 609 = 413 978 6092 = 171 378 288 709 574 880.
As a consequence, 413 978 609 is the square root of 171 378 288 709 574 880.
413 978 609 is a number with 9 digits.
The multiples of 413 978 609 are all integers evenly divisible by 413 978 609, that is all numbers such that the remainder of the division by 413 978 609 is zero. There are infinitely many multiples of 413 978 609. The smallest multiples of 413 978 609 are: