Is 40967491 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 967 491 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 40 967 491, the only two divisors are 1 and 40 967 491. Therefore 40 967 491 is a prime number.
As a consequence, 40 967 491 is only a multiple of 1 and 40 967 491.
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Since 40967491 is a prime number, 40967491 is also a deficient number, that is to say 40967491 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40967491 without 40967491 itself (that is 1, by definition!).