Search a number
-
+
13014474561 = 3211234572
BaseRepresentation
bin11000001111011100…
…10001111101000001
31020121000000210211100
430013232101331001
5203123201141221
65551225205013
7640340131344
oct140756217501
936530023740
1013014474561
115579371400
122632630769
1312c539c12a
148b665645b
15512860926
hex307b91f41

13014474561 has 27 divisors (see below), whose sum is σ = 20668996803. Its totient is φ = 7885278720.

The previous prime is 13014474437. The next prime is 13014474581. The reversal of 13014474561 is 16547441031.

The square root of 13014474561 is 114081.

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

13014474561 is a `hidden beast` number, since 13 + 0 + 14 + 4 + 74 + 561 = 666.

13014474561 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 only one way, i.e., 187553025 + 12826921536 = 13695^2 + 113256^2 .

It is a de Polignac number, because none of the positive numbers 2k-13014474561 is a prime.

It is a super-2 number, since 2×130144745612 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13014474581) 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 26 ways as a sum of consecutive naturals, for example, 3762945 + ... + 3766401.

Almost surely, 213014474561 is an apocalyptic number.

13014474561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13014474561 is the 114081-st square number.

13014474561 is the 57041-st centered octagonal number.

It is an amenable number.

13014474561 is a deficient number, since it is larger than the sum of its proper divisors (7654522242).

13014474561 is an frugal number, since it uses more digits than its factorization.

13014474561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 13014474561 by its sum of digits (36), we get a square (468521084196 = 6844862).

The spelling of 13014474561 in words is "thirteen billion, fourteen million, four hundred seventy-four thousand, five hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 3457 10371 31113 38027 114081 342243 418297 1254891 3764673 11950849 35852547 107557641 131459339 394378017 1183134051 1446052729 4338158187 13014474561