Is 422138141 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 422 138 141 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 422 138 141, the only two divisors are 1 and 422 138 141. Therefore 422 138 141 is a prime number.
As a consequence, 422 138 141 is only a multiple of 1 and 422 138 141.
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Since 422138141 is a prime number, 422138141 is also a deficient number, that is to say 422138141 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 422138141 without 422138141 itself (that is 1, by definition!).