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14214212333412 = 2237313733638993
BaseRepresentation
bin1100111011011000000100…
…0100111010111101100100
31212022212100220012222111220
43032312001010322331210
53330341201324132122
650121530300500340
72664641301216000
oct316660104727544
955285326188456
1014214212333412
114590239331283
121716986b4a6b0
137c1518866c60
14371d85cd9700
15199b26e4925c
hexced8113af64

14214212333412 has 192 divisors, whose sum is σ = 42223975180800. Its totient is φ = 3697448767488.

The previous prime is 14214212333303. The next prime is 14214212333467. The reversal of 14214212333412 is 21433321241241.

14214212333412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2086588 + ... + 5725580.

It is an arithmetic number, because the mean of its divisors is an integer number (219916537400).

Almost surely, 214214212333412 is an apocalyptic number.

14214212333412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14214212333412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21111987590400).

14214212333412 is an abundant number, since it is smaller than the sum of its proper divisors (28009762847388).

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

14214212333412 is a wasteful number, since it uses less digits than its factorization.

14214212333412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639107 (or 3639091 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 14214212333412 its reverse (21433321241241), we get a palindrome (35647533574653).

The spelling of 14214212333412 in words is "fourteen trillion, two hundred fourteen billion, two hundred twelve million, three hundred thirty-three thousand, four hundred twelve".