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231044404440132 = 22326417900123337
BaseRepresentation
bin110100100010001000110111…
…101001110110110001000100
31010022001121222210112112001100
4310202020313221312301010
5220240412420014041012
62135220200100300100
766444256504204143
oct6442106751666104
91108047883475040
10231044404440132
1167688421a9a3a8
1221ab5b536a1630
139bbc5173a51ba
14410a87493775a
151ba9eddaca8dc
hexd22237a76c44

231044404440132 has 18 divisors (see below), whose sum is σ = 584028911223758. Its totient is φ = 77014801480032.

The previous prime is 231044404440131. The next prime is 231044404440167.

231044404440132 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 4 + 440 + 44 + 40 + 132 = 666.

231044404440132 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 121846627789056 + 109197776651076 = 11038416^2 + 10449774^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6417900123337 = 231044404440132 / (2 + 3 + 1 + 0 + 4 + 4 + 4 + 0 + 4 + 4 + 4 + 0 + 1 + 3 + 2).

It is not an unprimeable number, because it can be changed into a prime (231044404440131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3208950061633 + ... + 3208950061704.

Almost surely, 2231044404440132 is an apocalyptic number.

It is an amenable number.

231044404440132 is an abundant number, since it is smaller than the sum of its proper divisors (352984506783626).

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

231044404440132 is a wasteful number, since it uses less digits than its factorization.

231044404440132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417900123347 (or 6417900123342 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 23104440 and 4440132, that added together give a palindrome (27544572).

The spelling of 231044404440132 in words is "two hundred thirty-one trillion, forty-four billion, four hundred four million, four hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6417900123337 12835800246674 19253700370011 25671600493348 38507400740022 57761101110033 77014801480044 115522202220066 231044404440132