Is 400078949 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 400 078 949 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 400 078 949, the only two divisors are 1 and 400 078 949. Therefore 400 078 949 is a prime number.
As a consequence, 400 078 949 is only a multiple of 1 and 400 078 949.
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Since 400078949 is a prime number, 400078949 is also a deficient number, that is to say 400078949 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 400078949 without 400078949 itself (that is 1, by definition!).