It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 400 312 813 is not a prime number.
For example, 400 312 813 can be divided by 131: 400 312 813 / 131 = 3 055 823.
For 400 312 813 to be a prime number, it would have been required that 400 312 813 has only two divisors, i.e., itself and 1.
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400 312 813 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 400 312 813 is about 20 007.819.
Thus, the square root of 400 312 813 is not an integer, and therefore 400 312 813 is not a square number.
The square of a number (here 400 312 813) is the result of the product of this number (400 312 813) by itself (i.e., 400 312 813 × 400 312 813); the square of 400 312 813 is sometimes called "raising 400 312 813 to the power 2", or "400 312 813 squared".
The square of 400 312 813 is 160 250 348 251 972 960 because 400 312 813 × 400 312 813 = 400 312 8132 = 160 250 348 251 972 960.
As a consequence, 400 312 813 is the square root of 160 250 348 251 972 960.
400 312 813 is a number with 9 digits.
The multiples of 400 312 813 are all integers evenly divisible by 400 312 813, that is all numbers such that the remainder of the division by 400 312 813 is zero. There are infinitely many multiples of 400 312 813. The smallest multiples of 400 312 813 are: