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14120581572 = 2232392238377
BaseRepresentation
bin11010010011010011…
…01111100111000100
31100110002100212101200
431021221233213010
5212404332102242
610253101022500
71006630651206
oct151151574704
940402325350
1014120581572
115a96777a29
1228a0b54a30
1314405aa716
1497d504776
15579a0104c
hex349a6f9c4

14120581572 has 18 divisors (see below), whose sum is σ = 35693692398. Its totient is φ = 4706860512.

The previous prime is 14120581571. The next prime is 14120581577. The reversal of 14120581572 is 27518502141.

It is a happy number.

14120581572 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 0 + 5 + 81 + 572 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13915977156 + 204604416 = 117966^2 + 14304^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 392238377 = 14120581572 / (1 + 4 + 1 + 2 + 0 + 5 + 8 + 1 + 5 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (14120581571) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 196119153 + ... + 196119224.

It is an arithmetic number, because the mean of its divisors is an integer number (1982982911).

Almost surely, 214120581572 is an apocalyptic number.

14120581572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14120581572 is an abundant number, since it is smaller than the sum of its proper divisors (21573110826).

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

14120581572 is a wasteful number, since it uses less digits than its factorization.

14120581572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392238387 (or 392238382 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 14120581572 in words is "fourteen billion, one hundred twenty million, five hundred eighty-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 392238377 784476754 1176715131 1568953508 2353430262 3530145393 4706860524 7060290786 14120581572