Search a number
-
+
4134221131041 = 321339734288117
BaseRepresentation
bin111100001010010010110…
…010000010110100100001
3112122020010222102121202200
4330022102302002310201
51020213341102143131
612443122430403413
7604454565541011
oct74122262026441
915566128377680
104134221131041
11135434a05aa51
125692a6360569
1323cb17367131
14104151281c41
15728196c42e6
hex3c292c82d21

4134221131041 has 12 divisors (see below), whose sum is σ = 5972098664532. Its totient is φ = 2755941611616.

The previous prime is 4134221131037. The next prime is 4134221131057. The reversal of 4134221131041 is 1401311224314.

It is a happy number.

4134221131041 is a `hidden beast` number, since 4 + 1 + 342 + 2 + 1 + 1 + 310 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 434353493025 + 3699867638016 = 659055^2 + 1923504^2 .

It is not a de Polignac number, because 4134221131041 - 22 = 4134221131037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4134221130996 and 4134221131014.

It is not an unprimeable number, because it can be changed into a prime (4134221131031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17023486 + ... + 17264631.

It is an arithmetic number, because the mean of its divisors is an integer number (497674888711).

Almost surely, 24134221131041 is an apocalyptic number.

It is an amenable number.

4134221131041 is a deficient number, since it is larger than the sum of its proper divisors (1837877533491).

4134221131041 is a wasteful number, since it uses less digits than its factorization.

4134221131041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34301520 (or 34301517 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4134221131041 its reverse (1401311224314), we get a palindrome (5535532355355).

The spelling of 4134221131041 in words is "four trillion, one hundred thirty-four billion, two hundred twenty-one million, one hundred thirty-one thousand, forty-one".

Divisors: 1 3 9 13397 40191 120573 34288117 102864351 308593053 459357903449 1378073710347 4134221131041