Is 40000123 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 000 123 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 40 000 123, the only two divisors are 1 and 40 000 123. Therefore 40 000 123 is a prime number.
As a consequence, 40 000 123 is only a multiple of 1 and 40 000 123.
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Since 40000123 is a prime number, 40000123 is also a deficient number, that is to say 40000123 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40000123 without 40000123 itself (that is 1, by definition!).