Is 490160431 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 490 160 431 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 490 160 431, the only two divisors are 1 and 490 160 431. Therefore 490 160 431 is a prime number.
As a consequence, 490 160 431 is only a multiple of 1 and 490 160 431.
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Since 490160431 is a prime number, 490160431 is also a deficient number, that is to say 490160431 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 490160431 without 490160431 itself (that is 1, by definition!).