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14333033341 = 1122910693821
BaseRepresentation
bin11010101100101000…
…01011101101111101
31100222220010112102201
431112110023231331
5213323224031331
610330130351501
71015120526134
oct152624135575
940886115381
1014333033341
116095695100
12294012b591
131475604523
1499d80891b
1558d4b9a61
hex35650bb7d

14333033341 has 24 divisors (see below), whose sum is σ = 16317264600. Its totient is φ = 12565660800.

The previous prime is 14333033333. The next prime is 14333033347.

14333033341 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4823858116 + 9509175225 = 69454^2 + 97515^2 .

It is not a de Polignac number, because 14333033341 - 23 = 14333033333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14333033347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3749211 + ... + 3753031.

It is an arithmetic number, because the mean of its divisors is an integer number (679886025).

Almost surely, 214333033341 is an apocalyptic number.

14333033341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14333033341 is a deficient number, since it is larger than the sum of its proper divisors (1984231259).

14333033341 is a wasteful number, since it uses less digits than its factorization.

14333033341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 143330 and 33341, that added together give a palindrome (176671).

The spelling of 14333033341 in words is "fourteen billion, three hundred thirty-three million, thirty-three thousand, three hundred forty-one".

Divisors: 1 11 29 121 319 1069 3509 3821 11759 31001 42031 110809 129349 341011 462341 1218899 3751121 4084649 13407889 44931139 118454821 494242529 1303003031 14333033341