Is 402214789 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 402 214 789 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 402 214 789, the only two divisors are 1 and 402 214 789. Therefore 402 214 789 is a prime number.
As a consequence, 402 214 789 is only a multiple of 1 and 402 214 789.
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Since 402214789 is a prime number, 402214789 is also a deficient number, that is to say 402214789 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 402214789 without 402214789 itself (that is 1, by definition!).