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14032204004412 = 2232113743157114177
BaseRepresentation
bin1100110000110010000010…
…0010001111110000111100
31211200110120102102212210200
43030030200202033300330
53314400423211120122
645502145554403500
72645536045024206
oct314144042176074
954613512385720
1014032204004412
11452002a383870
1216a7650890590
137aa300b20269
1436723b4b7776
151950232855ac
hexcc32088fc3c

14032204004412 has 288 divisors, whose sum is σ = 40693629360384. Its totient is φ = 4038186700800.

The previous prime is 14032204004407. The next prime is 14032204004447. The reversal of 14032204004412 is 21440040223041.

14032204004412 is a `hidden beast` number, since 1 + 40 + 3 + 2 + 204 + 0 + 0 + 4 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 989779468 + ... + 989793644.

It is an arithmetic number, because the mean of its divisors is an integer number (141297324168).

Almost surely, 214032204004412 is an apocalyptic number.

14032204004412 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 14032204004412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20346814680192).

14032204004412 is an abundant number, since it is smaller than the sum of its proper divisors (26661425355972).

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

14032204004412 is a wasteful number, since it uses less digits than its factorization.

14032204004412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15849 (or 15844 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14032204004412 its reverse (21440040223041), we get a palindrome (35472244227453).

The spelling of 14032204004412 in words is "fourteen trillion, thirty-two billion, two hundred four million, four thousand, four hundred twelve".