Search a number
-
+
46408229683141 is a prime number
BaseRepresentation
bin10101000110101010000100…
…00010110111111111000101
320002022120202022122011010211
422203111002002313333011
522040323023244330031
6242411351342115421
712526612123442224
oct1243250202677705
9202276668564124
1046408229683141
111387268a883647
12525628627bb71
131cb837b256991
14b66255442cbb
155572b7d17bb1
hex2a35420b7fc5

46408229683141 has 2 divisors, whose sum is σ = 46408229683142. Its totient is φ = 46408229683140.

The previous prime is 46408229683097. The next prime is 46408229683181. The reversal of 46408229683141 is 14138692280464.

46408229683141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30427855661025 + 15980374022116 = 5516145^2 + 3997546^2 .

It is a cyclic number.

It is not a de Polignac number, because 46408229683141 - 29 = 46408229682629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46408229683181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23204114841570 + 23204114841571.

It is an arithmetic number, because the mean of its divisors is an integer number (23204114841571).

Almost surely, 246408229683141 is an apocalyptic number.

It is an amenable number.

46408229683141 is a deficient number, since it is larger than the sum of its proper divisors (1).

46408229683141 is an equidigital number, since it uses as much as digits as its factorization.

46408229683141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15925248, while the sum is 58.

The spelling of 46408229683141 in words is "forty-six trillion, four hundred eight billion, two hundred twenty-nine million, six hundred eighty-three thousand, one hundred forty-one".