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14574042729 = 32402412
BaseRepresentation
bin11011001001010111…
…00011111001101001
31101121200122002011100
431210223203321221
5214321423331404
610410100152013
71024105214331
oct154453437151
941550562140
1014574042729
1161a9738014
1229a8998609
1314b351992c
149c38240c1
155a4724d39
hex364ae3e69

14574042729 has 9 divisors (see below), whose sum is σ = 21051918199. Its totient is φ = 9715787040.

The previous prime is 14574042719. The next prime is 14574042731. The reversal of 14574042729 is 92724047541.

The square root of 14574042729 is 120723.

It is a perfect power (a square), and thus also a powerful number.

14574042729 is a `hidden beast` number, since 1 + 4 + 574 + 0 + 4 + 2 + 72 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1080897129 + 13493145600 = 32877^2 + 116160^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 14574042729 - 211 = 14574040681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14574042719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 342049 + ... + 382289.

Almost surely, 214574042729 is an apocalyptic number.

14574042729 is the 120723-rd square number.

14574042729 is the 60362-nd centered octagonal number.

It is an amenable number.

14574042729 is a deficient number, since it is larger than the sum of its proper divisors (6477875470).

14574042729 is an frugal number, since it uses more digits than its factorization.

14574042729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80488 (or 40244 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 14574042729 in words is "fourteen billion, five hundred seventy-four million, forty-two thousand, seven hundred twenty-nine".

Divisors: 1 3 9 40241 120723 362169 1619338081 4858014243 14574042729