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11440104431 = 725315129173
BaseRepresentation
bin10101010011110001…
…00010001111101111
31002112021120112000112
422221320202033233
5141412131320211
65131105050235
7553332166100
oct125170421757
932467515015
1011440104431
114940705868
12227332697b
13110416b182
147a75143a7
1546e52588b
hex2a9e223ef

11440104431 has 24 divisors (see below), whose sum is σ = 13649230944. Its totient is φ = 9556747200.

The previous prime is 11440104427. The next prime is 11440104449. The reversal of 11440104431 is 13440104411.

It is not a de Polignac number, because 11440104431 - 22 = 11440104427 is a prime.

It is a super-2 number, since 2×114401044312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11440104397 and 11440104406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11440104331) 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, 377561 + ... + 406733.

It is an arithmetic number, because the mean of its divisors is an integer number (568717956).

Almost surely, 211440104431 is an apocalyptic number.

11440104431 is a deficient number, since it is larger than the sum of its proper divisors (2209126513).

11440104431 is a wasteful number, since it uses less digits than its factorization.

11440104431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29391 (or 29384 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11440104431 its reverse (13440104411), we get a palindrome (24880208842).

The spelling of 11440104431 in words is "eleven billion, four hundred forty million, one hundred four thousand, four hundred thirty-one".

Divisors: 1 7 49 53 151 371 1057 2597 7399 8003 29173 56021 204211 392147 1429477 1546169 4405123 10823183 30835861 75762281 215851027 233471519 1634300633 11440104431