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14133344333141 = 112116804498621
BaseRepresentation
bin1100110110101010110011…
…1101111110110101010101
31212001010122001210220222202
43031222230331332311111
53323030042122130031
650020434014534245
72656046306443235
oct315525475766525
955033561726882
1014133344333141
114559a10469800
121703178507385
137b69cb960a17
1436c0b3b73cc5
151979926702cb
hexcdaacf7ed55

14133344333141 has 6 divisors (see below), whose sum is σ = 15534998316726. Its totient is φ = 12848494848200.

The previous prime is 14133344333123. The next prime is 14133344333167.

14133344333141 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 9654847200625 + 4478497132516 = 3107225^2 + 2116246^2 .

It is not a de Polignac number, because 14133344333141 - 238 = 13858466426197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14133344333095 and 14133344333104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133344335141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58402249190 + ... + 58402249431.

It is an arithmetic number, because the mean of its divisors is an integer number (2589166386121).

Almost surely, 214133344333141 is an apocalyptic number.

14133344333141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14133344333141 is a deficient number, since it is larger than the sum of its proper divisors (1401653983585).

14133344333141 is a wasteful number, since it uses less digits than its factorization.

14133344333141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116804498643 (or 116804498632 counting only the distinct ones).

The product of its digits is 186624, while the sum is 38.

It can be divided in two parts, 1413334 and 4333141, that added together give a palindrome (5746475).

The spelling of 14133344333141 in words is "fourteen trillion, one hundred thirty-three billion, three hundred forty-four million, three hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 11 121 116804498621 1284849484831 14133344333141