Is 40179121 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 179 121 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 40 179 121, the only two divisors are 1 and 40 179 121. Therefore 40 179 121 is a prime number.
As a consequence, 40 179 121 is only a multiple of 1 and 40 179 121.
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Since 40179121 is a prime number, 40179121 is also a deficient number, that is to say 40179121 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40179121 without 40179121 itself (that is 1, by definition!).