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115031337444 = 22323195314929
BaseRepresentation
bin110101100100001100…
…1101110100111100100
3101222220201202101211100
41223020121232213210
53341041010244234
6124502240440100
711211404143512
oct1531031564744
9358821671740
10115031337444
114486a211431
121a363919030
13ab029ab45a
1457d34c14b2
152ed3b8e399
hex1ac866e9e4

115031337444 has 18 divisors (see below), whose sum is σ = 290773658630. Its totient is φ = 38343779136.

The previous prime is 115031337409. The next prime is 115031337467. The reversal of 115031337444 is 444733130511.

115031337444 is a `hidden beast` number, since 1 + 150 + 31 + 3 + 37 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97643750400 + 17387587044 = 312480^2 + 131862^2 .

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: 3195314929 = 115031337444 / (1 + 1 + 5 + 0 + 3 + 1 + 3 + 3 + 7 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 115031337399 and 115031337408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1597657429 + ... + 1597657500.

Almost surely, 2115031337444 is an apocalyptic number.

It is an amenable number.

115031337444 is an abundant number, since it is smaller than the sum of its proper divisors (175742321186).

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

115031337444 is a wasteful number, since it uses less digits than its factorization.

115031337444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195314939 (or 3195314934 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 115031337444 its reverse (444733130511), we get a palindrome (559764467955).

The spelling of 115031337444 in words is "one hundred fifteen billion, thirty-one million, three hundred thirty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3195314929 6390629858 9585944787 12781259716 19171889574 28757834361 38343779148 57515668722 115031337444