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14466266441 = 1124711322511
BaseRepresentation
bin11010111100100000…
…11011010101001001
31101100011211110212222
431132100123111021
5214111331011231
610351250143425
71021326143624
oct153620332511
941304743788
1014466266441
116153915100
122978881b75
1314970b2793
149b33aadbb
1559a03627b
hex35e41b549

14466266441 has 24 divisors (see below), whose sum is σ = 16383693312. Its totient is φ = 12756867200.

The previous prime is 14466266413. The next prime is 14466266459.

14466266441 is nontrivially palindromic in base 10.

14466266441 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 14466266441 - 218 = 14466004297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14466266392 and 14466266401.

It is not an unprimeable number, because it can be changed into a prime (14466266411) 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 23 ways as a sum of consecutive naturals, for example, 631376 + ... + 653886.

It is an arithmetic number, because the mean of its divisors is an integer number (682653888).

Almost surely, 214466266441 is an apocalyptic number.

14466266441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14466266441 is a deficient number, since it is larger than the sum of its proper divisors (1917426871).

14466266441 is a wasteful number, since it uses less digits than its factorization.

14466266441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22693 (or 22682 counting only the distinct ones).

The product of its digits is 663552, while the sum is 44.

The spelling of 14466266441 in words is "fourteen billion, four hundred sixty-six million, two hundred sixty-six thousand, four hundred forty-one".

Divisors: 1 11 47 113 121 517 1243 5311 5687 13673 22511 58421 247621 642631 1058017 2543743 2723831 11638187 27981173 119555921 128020057 307792903 1315115131 14466266441