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14133018461814 = 2327112166813189
BaseRepresentation
bin1100110110101001100110…
…0010111000011001110110
31212001002210100121221120100
43031222121202320121312
53323023410211234224
650020341414214530
72656035241542120
oct315523142703166
955032710557510
1014133018461814
11455986352485a
1217030a7354446
137b69792a5255
1436c082788210
15197973c50ac9
hexcda998b8676

14133018461814 has 24 divisors (see below), whose sum is σ = 34996045715280. Its totient is φ = 4038005274768.

The previous prime is 14133018461813. The next prime is 14133018461897. The reversal of 14133018461814 is 41816481033141.

14133018461814 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 3 + 0 + 18 + 4 + 618 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14133018461814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133018461813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56083406469 + ... + 56083406720.

It is an arithmetic number, because the mean of its divisors is an integer number (1458168571470).

Almost surely, 214133018461814 is an apocalyptic number.

14133018461814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14133018461814 is an abundant number, since it is smaller than the sum of its proper divisors (20863027253466).

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

14133018461814 is a wasteful number, since it uses less digits than its factorization.

14133018461814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112166813204 (or 112166813201 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

Adding to 14133018461814 its reverse (41816481033141), we get a palindrome (55949499494955).

The spelling of 14133018461814 in words is "fourteen trillion, one hundred thirty-three billion, eighteen million, four hundred sixty-one thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 112166813189 224333626378 336500439567 673000879134 785167692323 1009501318701 1570335384646 2019002637402 2355503076969 4711006153938 7066509230907 14133018461814