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14005255120 = 245175065689
BaseRepresentation
bin11010000101100011…
…10011101111010000
31100011001100200020121
431002301303233100
5212140321130440
610233421120024
71004030463403
oct150261635720
940131320217
1014005255120
115a3766850a
12286a3b9014
13142272bb0c
1496c083d3a
1556e82034a
hex342c73bd0

14005255120 has 20 divisors (see below), whose sum is σ = 32562218340. Its totient is φ = 5602102016.

The previous prime is 14005255007. The next prime is 14005255139. The reversal of 14005255120 is 2155250041.

14005255120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3952385424 + 10052869696 = 62868^2 + 100264^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×140052551202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 87532765 + ... + 87532924.

It is an arithmetic number, because the mean of its divisors is an integer number (1628110917).

Almost surely, 214005255120 is an apocalyptic number.

14005255120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14005255120 is an abundant number, since it is smaller than the sum of its proper divisors (18556963220).

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

14005255120 is a wasteful number, since it uses less digits than its factorization.

14005255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175065702 (or 175065696 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 14005255120 in words is "fourteen billion, five million, two hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 175065689 350131378 700262756 875328445 1400525512 1750656890 2801051024 3501313780 7002627560 14005255120