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13460872441 = 18126412
BaseRepresentation
bin11001000100101010…
…01001110011111001
31021202010000011121011
430202111021303321
5210031440404231
610103413113521
7654400346032
oct144225116371
937663004534
1013460872441
115788347775
1227380288a1
131366a073a3
14919a57a89
1553bb3b9b1
hex322549cf9

13460872441 has 9 divisors (see below), whose sum is σ = 13556802189. Its totient is φ = 13365619200.

The previous prime is 13460872409. The next prime is 13460872471. The reversal of 13460872441 is 14427806431.

The square root of 13460872441 is 116021.

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

13460872441 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 4 ways, for example, as 596776041 + 12864096400 = 24429^2 + 113420^2 .

It is not a de Polignac number, because 13460872441 - 25 = 13460872409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13460872394 and 13460872403.

It is not an unprimeable number, because it can be changed into a prime (13460872471) 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 8 ways as a sum of consecutive naturals, for example, 20999481 + ... + 21000121.

Almost surely, 213460872441 is an apocalyptic number.

13460872441 is the 116021-st square number.

13460872441 is the 58011-st centered octagonal number.

It is an amenable number.

13460872441 is a deficient number, since it is larger than the sum of its proper divisors (95929748).

13460872441 is an frugal number, since it uses more digits than its factorization.

13460872441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 13460872441 in words is "thirteen billion, four hundred sixty million, eight hundred seventy-two thousand, four hundred forty-one".

Divisors: 1 181 641 32761 116021 410881 20999801 74369461 13460872441