Search a number
-
+
13134611441 = 719246740031
BaseRepresentation
bin11000011101110001…
…00100001111110001
31020220101002101122102
430032320210033301
5203344430031231
610011200150145
7643326232550
oct141670441761
936811071572
1013134611441
115630166a86
122666908355
131314243443
148c85a9d97
1551d191acb
hex30ee243f1

13134611441 has 16 divisors (see below), whose sum is σ = 15807836160. Its totient is φ = 10661109840.

The previous prime is 13134611431. The next prime is 13134611453. The reversal of 13134611441 is 14411643131.

13134611441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13134611441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13134611411) 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 15 ways as a sum of consecutive naturals, for example, 308096 + ... + 348126.

It is an arithmetic number, because the mean of its divisors is an integer number (987989760).

Almost surely, 213134611441 is an apocalyptic number.

It is an amenable number.

13134611441 is a deficient number, since it is larger than the sum of its proper divisors (2673224719).

13134611441 is a wasteful number, since it uses less digits than its factorization.

13134611441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42524.

The product of its digits is 3456, while the sum is 29.

The spelling of 13134611441 in words is "thirteen billion, one hundred thirty-four million, six hundred eleven thousand, four hundred forty-one".

Divisors: 1 7 19 133 2467 17269 40031 46873 280217 328111 760589 5324123 98756477 691295339 1876373063 13134611441