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124332142041 = 3261657224057
BaseRepresentation
bin111001111001011000…
…1011110110111011001
3102212220220212020011200
41303302301132313121
54014113012021131
6133041205144413
711661031525062
oct1636261366731
9385826766150
10124332142041
11488022865a8
122011a6bb109
13b95587b823
146036839569
15337a4882e6
hex1cf2c5edd9

124332142041 has 12 divisors (see below), whose sum is σ = 179594586132. Its totient is φ = 82886380416.

The previous prime is 124332142027. The next prime is 124332142049. The reversal of 124332142041 is 140241233421.

124332142041 is a `hidden beast` number, since 1 + 2 + 433 + 21 + 4 + 204 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92276820441 + 32055321600 = 303771^2 + 179040^2 .

It is not a de Polignac number, because 124332142041 - 218 = 124331879897 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 124332141996 and 124332142014.

It is not an unprimeable number, because it can be changed into a prime (124332142049) 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 in 11 ways as a sum of consecutive naturals, for example, 442885 + ... + 666941.

It is an arithmetic number, because the mean of its divisors is an integer number (14966215511).

Almost surely, 2124332142041 is an apocalyptic number.

It is an amenable number.

124332142041 is a deficient number, since it is larger than the sum of its proper divisors (55262444091).

124332142041 is a wasteful number, since it uses less digits than its factorization.

124332142041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285720 (or 285717 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 124332142041 its reverse (140241233421), we get a palindrome (264573375462).

The spelling of 124332142041 in words is "one hundred twenty-four billion, three hundred thirty-two million, one hundred forty-two thousand, forty-one".

Divisors: 1 3 9 61657 184971 224057 554913 672171 2016513 13814682449 41444047347 124332142041