Is 40717129 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 717 129 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 40 717 129, the only two divisors are 1 and 40 717 129. Therefore 40 717 129 is a prime number.
As a consequence, 40 717 129 is only a multiple of 1 and 40 717 129.
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Since 40717129 is a prime number, 40717129 is also a deficient number, that is to say 40717129 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40717129 without 40717129 itself (that is 1, by definition!).