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342323320401441 = 321131117301343869
BaseRepresentation
bin100110111010101110101101…
…1111010010010111000100001
31122220001210022210002121121200
41031311131123322102320201
5324332111130010321231
63212021055023511413
7132051021000234021
oct11565353372227041
91586053283077550
10342323320401441
119a09056101a415
1232488677458569
1311901c48613542
146076773b95a81
152989936215be6
hex137575be92e21

342323320401441 has 24 divisors (see below), whose sum is σ = 499289425950120. Its totient is φ = 225993436494336.

The previous prime is 342323320401431. The next prime is 342323320401451. The reversal of 342323320401441 is 144104023323243.

342323320401441 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 2 + 3 + 3 + 204 + 0 + 1 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (342323320401431) and next prime (342323320401451).

It can be written as a sum of positive squares in 4 ways, for example, as 1518306982416 + 340805013419025 = 1232196^2 + 18460905^2 .

It is not a de Polignac number, because 342323320401441 - 246 = 271954576223777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342323320401396 and 342323320401405.

It is not an unprimeable number, because it can be changed into a prime (342323320401431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149535946 + ... + 151807923.

It is an arithmetic number, because the mean of its divisors is an integer number (20803726081255).

Almost surely, 2342323320401441 is an apocalyptic number.

It is an amenable number.

342323320401441 is a deficient number, since it is larger than the sum of its proper divisors (156966105548679).

342323320401441 is a wasteful number, since it uses less digits than its factorization.

342323320401441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301345105 (or 301345102 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 342323320401441 its reverse (144104023323243), we get a palindrome (486427343724684).

The spelling of 342323320401441 in words is "three hundred forty-two trillion, three hundred twenty-three billion, three hundred twenty million, four hundred one thousand, four hundred forty-one".

Divisors: 1 3 9 113 339 1017 1117 3351 10053 126221 378663 1135989 301343869 904031607 2712094821 34051857197 102155571591 306466714773 336601101673 1009803305019 3029409915057 38035924489049 114107773467147 342323320401441