Is 400400081 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 400 400 081 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 400 400 081, the only two divisors are 1 and 400 400 081. Therefore 400 400 081 is a prime number.
As a consequence, 400 400 081 is only a multiple of 1 and 400 400 081.
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Since 400400081 is a prime number, 400400081 is also a deficient number, that is to say 400400081 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 400400081 without 400400081 itself (that is 1, by definition!).