Search a number
-
+
1134434344311 = 327910115797501
BaseRepresentation
bin10000100000100001100…
…011100101110101110111
311000110011200100200221100
4100200201203211311313
5122041310143004221
62225052453021143
7144650224552632
oct20404143456567
94013150320840
101134434344311
113a8124681594
12163a3b9247b3
1382c90a69838
143cc9a80ac19
151e798a49926
hex108218e5d77

1134434344311 has 24 divisors (see below), whose sum is σ = 1675799012160. Its totient is φ = 739323000000.

The previous prime is 1134434344261. The next prime is 1134434344331.

1134434344311 is a `hidden beast` number, since 1 + 134 + 43 + 43 + 443 + 1 + 1 = 666.

1134434344311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1134434344311 - 211 = 1134434342263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134434344331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7826940 + ... + 7970561.

It is an arithmetic number, because the mean of its divisors is an integer number (69824958840).

Almost surely, 21134434344311 is an apocalyptic number.

1134434344311 is a deficient number, since it is larger than the sum of its proper divisors (541364667849).

1134434344311 is a wasteful number, since it uses less digits than its factorization.

1134434344311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15797687 (or 15797684 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 1134434344311 in words is "one trillion, one hundred thirty-four billion, four hundred thirty-four million, three hundred forty-four thousand, three hundred eleven".

Divisors: 1 3 9 79 101 237 303 711 909 7979 23937 71811 15797501 47392503 142177509 1248002579 1595547601 3744007737 4786642803 11232023211 14359928409 126048260479 378144781437 1134434344311