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14212693089 = 32748112
BaseRepresentation
bin11010011110010010…
…00111110001100001
31100200111200121122100
431033021013301201
5213101422134324
610310151201013
71012126620000
oct151711076141
940614617570
1014212693089
116033770751
122907976169
1314566bb78a
1498b840c37
15582b484c9
hex34f247c61

14212693089 has 45 divisors (see below), whose sum is σ = 23979162129. Its totient is φ = 8111524680.

The previous prime is 14212693081. The next prime is 14212693097. The reversal of 14212693089 is 98039621241.

The square root of 14212693089 is 119217.

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

14212693089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14212693081) and next prime (14212693097).

It is not a de Polignac number, because 14212693089 - 23 = 14212693081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14212693081) 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 44 ways as a sum of consecutive naturals, for example, 17524494 + ... + 17525304.

Almost surely, 214212693089 is an apocalyptic number.

14212693089 is the 119217-th square number.

14212693089 is the 59609-th centered octagonal number.

It is an amenable number.

14212693089 is a deficient number, since it is larger than the sum of its proper divisors (9766469040).

14212693089 is an frugal number, since it uses more digits than its factorization.

14212693089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 14212693089 in words is "fourteen billion, two hundred twelve million, six hundred ninety-three thousand, eighty-nine".

Divisors: 1 3 7 9 21 49 63 147 343 441 811 1029 2401 2433 3087 5677 7203 7299 17031 21609 39739 51093 119217 278173 357651 657721 834519 1947211 1973163 2503557 4604047 5841633 5919489 13812141 17524899 32228329 41436423 96684987 225598303 290054961 676794909 1579188121 2030384727 4737564363 14212693089