Is 40688339 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 688 339 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 40 688 339, the only two divisors are 1 and 40 688 339. Therefore 40 688 339 is a prime number.
As a consequence, 40 688 339 is only a multiple of 1 and 40 688 339.
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Since 40688339 is a prime number, 40688339 is also a deficient number, that is to say 40688339 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40688339 without 40688339 itself (that is 1, by definition!).