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14154311120 = 245176928889
BaseRepresentation
bin11010010111010100…
…11010010111010000
31100112102211111122012
431023222122113100
5212442000423440
610300304002052
71010520442115
oct151352322720
940472744565
1014154311120
116003815494
1228b0300328
13144758a131
14983ba490c
1557c964e65
hex34ba9a5d0

14154311120 has 20 divisors (see below), whose sum is σ = 32908773540. Its totient is φ = 5661724416.

The previous prime is 14154311089. The next prime is 14154311177. The reversal of 14154311120 is 2111345141.

14154311120 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 3203107216 + 10951203904 = 56596^2 + 104648^2 .

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

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, 88464365 + ... + 88464524.

It is an arithmetic number, because the mean of its divisors is an integer number (1645438677).

Almost surely, 214154311120 is an apocalyptic number.

14154311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14154311120 is an abundant number, since it is smaller than the sum of its proper divisors (18754462420).

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

14154311120 is a wasteful number, since it uses less digits than its factorization.

14154311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176928902 (or 176928896 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 14154311120 its reverse (2111345141), we get a palindrome (16265656261).

The spelling of 14154311120 in words is "fourteen billion, one hundred fifty-four million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 176928889 353857778 707715556 884644445 1415431112 1769288890 2830862224 3538577780 7077155560 14154311120