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14131413141 = 323204803089
BaseRepresentation
bin11010010100100110…
…00100000010010101
31100110211202011111220
431022103010002111
5212420120210031
610254125120553
71010122013136
oct151223040225
940424664456
1014131413141
115aa18a593a
1228a46b9159
131442900931
14980b23c8d
1557a940596
hex34a4c4095

14131413141 has 8 divisors (see below), whose sum is σ = 19661096640. Its totient is φ = 9011335872.

The previous prime is 14131413119. The next prime is 14131413193.

14131413141 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 14131413141 - 211 = 14131411093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14131413341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102401476 + ... + 102401613.

It is an arithmetic number, because the mean of its divisors is an integer number (2457637080).

Almost surely, 214131413141 is an apocalyptic number.

It is an amenable number.

14131413141 is a deficient number, since it is larger than the sum of its proper divisors (5529683499).

14131413141 is a wasteful number, since it uses less digits than its factorization.

14131413141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204803115.

The product of its digits is 576, while the sum is 24.

The spelling of 14131413141 in words is "fourteen billion, one hundred thirty-one million, four hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 23 69 204803089 614409267 4710471047 14131413141