Is 402071431 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 402 071 431 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 402 071 431, the only two divisors are 1 and 402 071 431. Therefore 402 071 431 is a prime number.
As a consequence, 402 071 431 is only a multiple of 1 and 402 071 431.
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Since 402071431 is a prime number, 402071431 is also a deficient number, that is to say 402071431 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 402071431 without 402071431 itself (that is 1, by definition!).