Is 78406109 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 78 406 109 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 78 406 109, the only two divisors are 1 and 78 406 109. Therefore 78 406 109 is a prime number.
As a consequence, 78 406 109 is only a multiple of 1 and 78 406 109.
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Since 78406109 is a prime number, 78406109 is also a deficient number, that is to say 78406109 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 78406109 without 78406109 itself (that is 1, by definition!).