Is 40640113 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 640 113 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 40 640 113, the only two divisors are 1 and 40 640 113. Therefore 40 640 113 is a prime number.
As a consequence, 40 640 113 is only a multiple of 1 and 40 640 113.
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Since 40640113 is a prime number, 40640113 is also a deficient number, that is to say 40640113 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40640113 without 40640113 itself (that is 1, by definition!).