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404141121 = 3237232801
BaseRepresentation
bin11000000101101…
…011010001000001
31001011110111101200
4120011223101001
51311430003441
6104034051413
713005066666
oct3005532101
91034414350
10404141121
1119814422a
12b3419b69
1365961477
143b961a6d
15257307b6
hex1816b441

404141121 has 18 divisors (see below), whose sum is σ = 599981382. Its totient is φ = 262137600.

The previous prime is 404141117. The next prime is 404141123. The reversal of 404141121 is 121141404.

404141121 is a `hidden beast` number, since 404 + 141 + 121 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 150185025 + 253956096 = 12255^2 + 15936^2 .

It is not a de Polignac number, because 404141121 - 22 = 404141117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404141094 and 404141103.

It is not an unprimeable number, because it can be changed into a prime (404141123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4080 + ... + 28721.

It is an arithmetic number, because the mean of its divisors is an integer number (33332299).

Almost surely, 2404141121 is an apocalyptic number.

It is an amenable number.

404141121 is a deficient number, since it is larger than the sum of its proper divisors (195840261).

404141121 is a wasteful number, since it uses less digits than its factorization.

404141121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32881 (or 32841 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 404141121 is about 20103.2614518142. The cubic root of 404141121 is about 739.3402452970.

Adding to 404141121 its reverse (121141404), we get a palindrome (525282525).

The spelling of 404141121 in words is "four hundred four million, one hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 333 1369 4107 12321 32801 98403 295209 1213637 3640911 10922733 44904569 134713707 404141121