Is 40201463 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 201 463 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 40 201 463, the only two divisors are 1 and 40 201 463. Therefore 40 201 463 is a prime number.
As a consequence, 40 201 463 is only a multiple of 1 and 40 201 463.
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Since 40201463 is a prime number, 40201463 is also a deficient number, that is to say 40201463 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40201463 without 40201463 itself (that is 1, by definition!).