Is 40701967 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 701 967 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 40 701 967, the only two divisors are 1 and 40 701 967. Therefore 40 701 967 is a prime number.
As a consequence, 40 701 967 is only a multiple of 1 and 40 701 967.
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Since 40701967 is a prime number, 40701967 is also a deficient number, that is to say 40701967 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40701967 without 40701967 itself (that is 1, by definition!).