Is 40508609 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 508 609 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 40 508 609, the only two divisors are 1 and 40 508 609. Therefore 40 508 609 is a prime number.
As a consequence, 40 508 609 is only a multiple of 1 and 40 508 609.
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Since 40508609 is a prime number, 40508609 is also a deficient number, that is to say 40508609 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40508609 without 40508609 itself (that is 1, by definition!).