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14194053683136 = 26372331413469
BaseRepresentation
bin1100111010001100111110…
…0001110001011111000000
31212020221100000011110000000
43032203033201301133000
53330023410220330021
650104354103000000
72663325611423565
oct316431741613700
955227300143000
1014194053683136
1145827342a1a28
121712a9ba39000
137bc655352022
14370dd291686c
151993472e0b26
hexce8cf8717c0

14194053683136 has 896 divisors, whose sum is σ = 46624860979200. Its totient is φ = 4271599411200.

The previous prime is 14194053683093. The next prime is 14194053683137. The reversal of 14194053683136 is 63138635049141.

14194053683136 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 40 + 536 + 8 + 31 + 36 = 666.

14194053683136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14194053683137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4091682810 + ... + 4091686278.

It is an arithmetic number, because the mean of its divisors is an integer number (52036675200).

Almost surely, 214194053683136 is an apocalyptic number.

14194053683136 is a gapful number since it is divisible by the number (16) 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 14194053683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23312430489600).

14194053683136 is an abundant number, since it is smaller than the sum of its proper divisors (32430807296064).

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

14194053683136 is an equidigital number, since it uses as much as digits as its factorization.

14194053683136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 14194053683136 in words is "fourteen trillion, one hundred ninety-four billion, fifty-three million, six hundred eighty-three thousand, one hundred thirty-six".