Is 40701601 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 40 701 601 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 40 701 601, the only two divisors are 1 and 40 701 601. Therefore 40 701 601 is a prime number.
As a consequence, 40 701 601 is only a multiple of 1 and 40 701 601.
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Since 40701601 is a prime number, 40701601 is also a deficient number, that is to say 40701601 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 40701601 without 40701601 itself (that is 1, by definition!).