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14444122110120 = 23335731409130027
BaseRepresentation
bin1101001000110000100011…
…0001000111100010101000
31220010211210201000202022000
43102030020301013202220
53343123030230010440
650415312121131000
73020360545116123
oct322141061074250
956124721022260
1014444122110120
1146697994123aa
12175344b329a60
1380a0c864b751
1437d15645b3ba
151a0ad1124730
hexd2308c478a8

14444122110120 has 256 divisors, whose sum is σ = 48841637472000. Its totient is φ = 3796276543488.

The previous prime is 14444122110001. The next prime is 14444122110127. The reversal of 14444122110120 is 2101122144441.

14444122110120 is a `hidden beast` number, since 1 + 4 + 4 + 441 + 2 + 211 + 0 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14444122110127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111020547 + ... + 111150573.

It is an arithmetic number, because the mean of its divisors is an integer number (190787646375).

Almost surely, 214444122110120 is an apocalyptic number.

14444122110120 is a gapful number since it is divisible by the number (10) 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 14444122110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24420818736000).

14444122110120 is an abundant number, since it is smaller than the sum of its proper divisors (34397515361880).

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

14444122110120 is a wasteful number, since it uses less digits than its factorization.

14444122110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131529 (or 131519 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14444122110120 its reverse (2101122144441), we get a palindrome (16545244254561).

The spelling of 14444122110120 in words is "fourteen trillion, four hundred forty-four billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty".