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13442411314341 = 328144031833983
BaseRepresentation
bin1100001110011100111000…
…1001101011110010100101
31202121002012202102220012100
43003213032021223302211
53230220024244024331
644331205234242313
72555116324622232
oct303471611536245
952532182386170
1013442411314341
1143129928202a9
121611290426399
137667c9ac6819
1434688ab1c789
15184a045c5ae6
hexc39ce26bca5

13442411314341 has 12 divisors (see below), whose sum is σ = 19416850771968. Its totient is φ = 8961591652584.

The previous prime is 13442411314307. The next prime is 13442411314351. The reversal of 13442411314341 is 14341311424431.

13442411314341 is a `hidden beast` number, since 1 + 3 + 44 + 241 + 1 + 31 + 4 + 341 = 666.

It is not a de Polignac number, because 13442411314341 - 29 = 13442411313829 is a prime.

It is a super-2 number, since 2×134424113143412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13442411314296 and 13442411314305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442411314351) 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, 6412636 + ... + 8246618.

It is an arithmetic number, because the mean of its divisors is an integer number (1618070897664).

Almost surely, 213442411314341 is an apocalyptic number.

It is an amenable number.

13442411314341 is a deficient number, since it is larger than the sum of its proper divisors (5974439457627).

13442411314341 is a wasteful number, since it uses less digits than its factorization.

13442411314341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648392 (or 2648389 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 13442411314341 its reverse (14341311424431), we get a palindrome (27783722738772).

The spelling of 13442411314341 in words is "thirteen trillion, four hundred forty-two billion, four hundred eleven million, three hundred fourteen thousand, three hundred forty-one".

Divisors: 1 3 9 814403 1833983 2443209 5501949 7329627 16505847 1493601257149 4480803771447 13442411314341