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13412331441 = 3217121372269
BaseRepresentation
bin11000111110110111…
…11110111110110001
31021121201200000212100
430133123332332301
5204432024101231
610054520451013
7653240636055
oct143733767661
937551600770
1013412331441
115762a03143
122723919a69
1313599400c2
1491341dc65
1553774e1e6
hex31f6fefb1

13412331441 has 24 divisors (see below), whose sum is σ = 20530172520. Its totient is φ = 8408526336.

The previous prime is 13412331431. The next prime is 13412331463. The reversal of 13412331441 is 14413321431.

13412331441 is a `hidden beast` number, since 1 + 341 + 2 + 3 + 314 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 334121841 + 13078209600 = 18279^2 + 114360^2 .

It is not a de Polignac number, because 13412331441 - 222 = 13408137137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13412331431) 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, 149455 + ... + 221723.

It is an arithmetic number, because the mean of its divisors is an integer number (855423855).

Almost surely, 213412331441 is an apocalyptic number.

It is an amenable number.

13412331441 is a deficient number, since it is larger than the sum of its proper divisors (7117841079).

13412331441 is a wasteful number, since it uses less digits than its factorization.

13412331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73505 (or 73502 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 13412331441 its reverse (14413321431), we get a palindrome (27825652872).

The spelling of 13412331441 in words is "thirteen billion, four hundred twelve million, three hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 153 1213 3639 10917 20621 61863 72269 185589 216807 650421 1228573 3685719 11057157 87662297 262986891 788960673 1490259049 4470777147 13412331441