Search a number
-
+
451454440372031 is a prime number
BaseRepresentation
bin110011010100110000110110…
…1100011001111011100111111
32012012110121211011120121200202
41212221201231203033130333
5433133112143213401111
64240055150133114115
7164043335613502355
oct14651415543173477
92165417734517622
10451454440372031
11120935831219278
1242772a8a78893b
13164b9c81544585
147d6a7237b57d5
15372d575503b3b
hex19a986d8cf73f

451454440372031 has 2 divisors, whose sum is σ = 451454440372032. Its totient is φ = 451454440372030.

The previous prime is 451454440372027. The next prime is 451454440372213. The reversal of 451454440372031 is 130273044454154.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 451454440372031 - 22 = 451454440372027 is a prime.

It is a super-2 number, since 2×4514544403720312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (451454440372531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 225727220186015 + 225727220186016.

It is an arithmetic number, because the mean of its divisors is an integer number (225727220186016).

Almost surely, 2451454440372031 is an apocalyptic number.

451454440372031 is a deficient number, since it is larger than the sum of its proper divisors (1).

451454440372031 is an equidigital number, since it uses as much as digits as its factorization.

451454440372031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3225600, while the sum is 47.

The spelling of 451454440372031 in words is "four hundred fifty-one trillion, four hundred fifty-four billion, four hundred forty million, three hundred seventy-two thousand, thirty-one".