Is 40242809 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 242 809 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 40 242 809, the only two divisors are 1 and 40 242 809. Therefore 40 242 809 is a prime number.
As a consequence, 40 242 809 is only a multiple of 1 and 40 242 809.
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Since 40242809 is a prime number, 40242809 is also a deficient number, that is to say 40242809 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40242809 without 40242809 itself (that is 1, by definition!).