Is 242138459 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 242 138 459 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 242 138 459, the only two divisors are 1 and 242 138 459. Therefore 242 138 459 is a prime number.
As a consequence, 242 138 459 is only a multiple of 1 and 242 138 459.
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Since 242138459 is a prime number, 242138459 is also a deficient number, that is to say 242138459 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 242138459 without 242138459 itself (that is 1, by definition!).