Is 40367009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 367 009 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 40 367 009, the only two divisors are 1 and 40 367 009. Therefore 40 367 009 is a prime number.
As a consequence, 40 367 009 is only a multiple of 1 and 40 367 009.
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Since 40367009 is a prime number, 40367009 is also a deficient number, that is to say 40367009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40367009 without 40367009 itself (that is 1, by definition!).