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13132242444 = 2233144978623
BaseRepresentation
bin11000011101011111…
…00001111000001100
31020220012122000222210
430032233201320030
5203343323224234
610011033310420
7643300135056
oct141657417014
936805560883
1013132242444
115629899132
122665b65410
1313138c4079
148c81508d6
1551cd74be9
hex30ebe1e0c

13132242444 has 48 divisors (see below), whose sum is σ = 31701196800. Its totient is φ = 4226718720.

The previous prime is 13132242439. The next prime is 13132242469. The reversal of 13132242444 is 44424223131.

13132242444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 127717 + ... + 206339.

It is an arithmetic number, because the mean of its divisors is an integer number (660441600).

Almost surely, 213132242444 is an apocalyptic number.

It is an amenable number.

13132242444 is an abundant number, since it is smaller than the sum of its proper divisors (18568954356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13132242444 is a wasteful number, since it uses less digits than its factorization.

13132242444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79110 (or 79108 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 13132242444 its reverse (44424223131), we get a palindrome (57556465575).

The spelling of 13132242444 in words is "thirteen billion, one hundred thirty-two million, two hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 449 898 1347 1796 2694 5388 13919 27838 41757 55676 78623 83514 157246 167028 235869 314492 471738 943476 2437313 4874626 7311939 9749252 14623878 29247756 35301727 70603454 105905181 141206908 211810362 423620724 1094353537 2188707074 3283060611 4377414148 6566121222 13132242444