Is 491400031 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 491 400 031 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 491 400 031, the only two divisors are 1 and 491 400 031. Therefore 491 400 031 is a prime number.
As a consequence, 491 400 031 is only a multiple of 1 and 491 400 031.
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Since 491400031 is a prime number, 491400031 is also a deficient number, that is to say 491400031 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 491400031 without 491400031 itself (that is 1, by definition!).