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432332014142041 = 132221138771079021
BaseRepresentation
bin110001001001101000010010…
…0001000001100001001011001
32002200202112111101222200011121
41202103100210020030021121
5423131311431110021131
64131254330242325241
7160030646224433326
oct14223204410141131
92080675441880147
10432332014142041
11115832a83124562
12405a4a10959821
13157309707a1380
1478a8da432bb4d
1534eae33e25911
hex189342420c259

432332014142041 has 16 divisors (see below), whose sum is σ = 465831950866128. Its totient is φ = 398866907692800.

The previous prime is 432332014142033. The next prime is 432332014142047. The reversal of 432332014142041 is 140241410233234.

It can be written as a sum of positive squares in 8 ways, for example, as 198716838116416 + 233615176025625 = 14096696^2 + 15284475^2 .

It is a cyclic number.

It is not a de Polignac number, because 432332014142041 - 23 = 432332014142033 is a prime.

It is a super-2 number, since 2×4323320141420412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 432332014141988 and 432332014142006.

It is not an unprimeable number, because it can be changed into a prime (432332014142047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400131111 + ... + 401210131.

It is an arithmetic number, because the mean of its divisors is an integer number (29114496929133).

Almost surely, 2432332014142041 is an apocalyptic number.

It is an amenable number.

432332014142041 is a deficient number, since it is larger than the sum of its proper divisors (33499936724087).

432332014142041 is a wasteful number, since it uses less digits than its factorization.

432332014142041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095132.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 432332014142041 its reverse (140241410233234), we get a palindrome (572573424375275).

The spelling of 432332014142041 in words is "four hundred thirty-two trillion, three hundred thirty-two billion, fourteen million, one hundred forty-two thousand, forty-one".

Divisors: 1 13 2221 13877 28873 180401 1079021 14027273 30820817 400670621 2396505641 14973574417 31154573333 194656467421 33256308780157 432332014142041