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14419446561 = 3213230792
BaseRepresentation
bin11010110110111011…
…10100101100100001
31101012220201210002100
431123131310230201
5214012334242221
610342454441013
71020220162542
oct153335645441
941186653070
1014419446561
11612a446693
122965063169
13148a49ba00
149ab0a04c9
15595d88926
hex35b774b21

14419446561 has 27 divisors (see below), whose sum is σ = 22560820659. Its totient is φ = 8870623632.

The previous prime is 14419446553. The next prime is 14419446571. The reversal of 14419446561 is 16564491441.

The square root of 14419446561 is 120081.

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

14419446561 is a `hidden beast` number, since 1 + 4 + 41 + 9 + 4 + 46 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2133054225 + 12286392336 = 46185^2 + 110844^2 .

It is not a de Polignac number, because 14419446561 - 23 = 14419446553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14419446551) 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 26 ways as a sum of consecutive naturals, for example, 4681620 + ... + 4684698.

Almost surely, 214419446561 is an apocalyptic number.

14419446561 is the 120081-st square number.

14419446561 is the 60041-st centered octagonal number.

It is an amenable number.

14419446561 is a deficient number, since it is larger than the sum of its proper divisors (8141374098).

14419446561 is an frugal number, since it uses more digits than its factorization.

14419446561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 3095 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 14419446561 in words is "fourteen billion, four hundred nineteen million, four hundred forty-six thousand, five hundred sixty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 3079 9237 27711 40027 120081 360243 520351 1561053 4683159 9480241 28440723 85322169 123243133 369729399 1109188197 1602160729 4806482187 14419446561