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14016145120 = 255281311747
BaseRepresentation
bin11010000110110110…
…10110011011100000
31100011210211221111221
431003123112123200
5212201113120440
610234450344424
71004222160565
oct150333263340
940153757457
1014016145120
115a4282630a
122871b8b114
131424a727c3
1496d6ba86c
15570771d4a
hex3436d66e0

14016145120 has 48 divisors (see below), whose sum is σ = 33231089808. Its totient is φ = 5586488320.

The previous prime is 14016145111. The next prime is 14016145123. The reversal of 14016145120 is 2154161041.

14016145120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14016145123) 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 7 ways as a sum of consecutive naturals, for example, 110914 + ... + 200833.

It is an arithmetic number, because the mean of its divisors is an integer number (692314371).

Almost surely, 214016145120 is an apocalyptic number.

14016145120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14016145120 is an abundant number, since it is smaller than the sum of its proper divisors (19214944688).

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

14016145120 is a wasteful number, since it uses less digits than its factorization.

14016145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312043 (or 312035 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 14016145120 in words is "fourteen billion, sixteen million, one hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 281 562 1124 1405 2248 2810 4496 5620 8992 11240 22480 44960 311747 623494 1246988 1558735 2493976 3117470 4987952 6234940 9975904 12469880 24939760 49879520 87600907 175201814 350403628 438004535 700807256 876009070 1401614512 1752018140 2803229024 3504036280 7008072560 14016145120