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14013133134 = 237111323611663
BaseRepresentation
bin11010000110011111…
…10111000101001110
31100011121011220211220
431003033313011032
5212144330230014
610234302024210
71004154444360
oct150317670516
940147156756
1014013133134
115a41059370
122870b78066
131424259870
1496d134d30
155703796a9
hex3433f714e

14013133134 has 256 divisors, whose sum is σ = 39933444096. Its totient is φ = 3159129600.

The previous prime is 14013133117. The next prime is 14013133139. The reversal of 14013133134 is 43133131041.

14013133134 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013133139) 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 127 ways as a sum of consecutive naturals, for example, 8425587 + ... + 8427249.

It is an arithmetic number, because the mean of its divisors is an integer number (155990016).

Almost surely, 214013133134 is an apocalyptic number.

14013133134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013133134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19966722048).

14013133134 is an abundant number, since it is smaller than the sum of its proper divisors (25920310962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14013133134 is a wasteful number, since it uses less digits than its factorization.

14013133134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 14013133134 its reverse (43133131041), we get a palindrome (57146264175).

The spelling of 14013133134 in words is "fourteen billion, thirteen million, one hundred thirty-three thousand, one hundred thirty-four".