Is 40344709 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 344 709 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 40 344 709, the only two divisors are 1 and 40 344 709. Therefore 40 344 709 is a prime number.
As a consequence, 40 344 709 is only a multiple of 1 and 40 344 709.
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Since 40344709 is a prime number, 40344709 is also a deficient number, that is to say 40344709 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40344709 without 40344709 itself (that is 1, by definition!).