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11444032413 = 32112232572017
BaseRepresentation
bin10101010100001111…
…00001001110011101
31002112112222002012100
422222013201032131
5141414133014123
65131325155313
7553410445662
oct125207411635
932475862170
1011444032413
114942948a30
1222746bbb39
131104c15018
147a7c57a69
1546ea4e643
hex2aa1e139d

11444032413 has 48 divisors (see below), whose sum is σ = 18193383936. Its totient is φ = 6874398720.

The previous prime is 11444032393. The next prime is 11444032487. The reversal of 11444032413 is 31423044411.

11444032413 is a `hidden beast` number, since 1 + 14 + 4 + 403 + 241 + 3 = 666.

11444032413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11444032413 - 29 = 11444031901 is a prime.

It is a super-3 number, since 3×114440324133 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444032913) 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 47 ways as a sum of consecutive naturals, for example, 5672781 + ... + 5674797.

It is an arithmetic number, because the mean of its divisors is an integer number (379028832).

Almost surely, 211444032413 is an apocalyptic number.

It is an amenable number.

11444032413 is a deficient number, since it is larger than the sum of its proper divisors (6749351523).

11444032413 is a wasteful number, since it uses less digits than its factorization.

11444032413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11444032413 its reverse (31423044411), we get a palindrome (42867076824).

The spelling of 11444032413 in words is "eleven billion, four hundred forty-four million, thirty-two thousand, four hundred thirteen".

Divisors: 1 3 9 11 33 99 223 257 669 771 2007 2017 2313 2453 2827 6051 7359 8481 18153 22077 22187 25443 57311 66561 171933 199683 449791 515799 518369 630421 1349373 1555107 1891263 4048119 4665321 4947701 5673789 5702059 14843103 17106177 44529309 51318531 115596287 346788861 1040366583 1271559157 3814677471 11444032413