Search a number
-
+
13344639361 = 33123492
BaseRepresentation
bin11000110110110011…
…10000100110000001
31021110000021220210021
430123121300212001
5204312211424421
610044101533441
7651456364054
oct143331604601
937400256707
1013344639361
115728779079
122705114281
1313488cbc11
1490843ca9b
1553182c341
hex31b670981

13344639361 has 9 divisors (see below), whose sum is σ = 13423539843. Its totient is φ = 13266201960.

The previous prime is 13344639331. The next prime is 13344639389. The reversal of 13344639361 is 16393644331.

The square root of 13344639361 is 115519.

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

It can be written as a sum of positive squares in only one way, i.e., 9794862961 + 3549776400 = 98969^2 + 59580^2 .

It is not a de Polignac number, because 13344639361 - 27 = 13344639233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13344639331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38236615 + ... + 38236963.

It is an arithmetic number, because the mean of its divisors is an integer number (1491504427).

Almost surely, 213344639361 is an apocalyptic number.

13344639361 is the 115519-th square number.

13344639361 is the 57760-th centered octagonal number.

It is an amenable number.

13344639361 is a deficient number, since it is larger than the sum of its proper divisors (78900482).

13344639361 is an frugal number, since it uses more digits than its factorization.

13344639361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 680 counting only the distinct ones).

The product of its digits is 419904, while the sum is 43.

The spelling of 13344639361 in words is "thirteen billion, three hundred forty-four million, six hundred thirty-nine thousand, three hundred sixty-one".

Divisors: 1 331 349 109561 115519 121801 38236789 40316131 13344639361