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114133000041 = 32471814873061
BaseRepresentation
bin110101001001011011…
…0110101111101101001
3101220121010101010120200
41222102312311331221
53332221022000131
6124233150142413
711150215331154
oct1522266657551
9356533333520
10114133000041
1144449115225
121a152ab1a09
13a9bb847768
14574a078c9b
152e7ed902e6
hex1a92db5f69

114133000041 has 48 divisors (see below), whose sum is σ = 169699665408. Its totient is φ = 73882108800.

The previous prime is 114132999991. The next prime is 114133000063. The reversal of 114133000041 is 140000331411.

It is not a de Polignac number, because 114133000041 - 218 = 114132737897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114132999978 and 114133000023.

It is not an unprimeable number, because it can be changed into a prime (114133050041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37284651 + ... + 37287711.

It is an arithmetic number, because the mean of its divisors is an integer number (3535409696).

Almost surely, 2114133000041 is an apocalyptic number.

It is an amenable number.

114133000041 is a deficient number, since it is larger than the sum of its proper divisors (55566665367).

114133000041 is a wasteful number, since it uses less digits than its factorization.

114133000041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 114133000041 its reverse (140000331411), we get a palindrome (254133331452).

The spelling of 114133000041 in words is "one hundred fourteen billion, one hundred thirty-three million, forty-one", and thus it is an aban number.

Divisors: 1 3 9 47 141 181 423 487 543 1461 1629 3061 4383 8507 9183 22889 25521 27549 68667 76563 88147 143867 206001 264441 431601 554041 793323 1294803 1490707 1662123 4142909 4472121 4986369 12428727 13416363 26039927 37286181 70063229 78119781 210189687 234359343 269817967 630569061 809453901 2428361703 12681444449 38044333347 114133000041