Is 40375009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 375 009 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 40 375 009, the only two divisors are 1 and 40 375 009. Therefore 40 375 009 is a prime number.
As a consequence, 40 375 009 is only a multiple of 1 and 40 375 009.
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Since 40375009 is a prime number, 40375009 is also a deficient number, that is to say 40375009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40375009 without 40375009 itself (that is 1, by definition!).