Is 42702151 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 702 151 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 42 702 151, the only two divisors are 1 and 42 702 151. Therefore 42 702 151 is a prime number.
As a consequence, 42 702 151 is only a multiple of 1 and 42 702 151.
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Since 42702151 is a prime number, 42702151 is also a deficient number, that is to say 42702151 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42702151 without 42702151 itself (that is 1, by definition!).