Search a number
-
+
115431430544 = 2438918546181
BaseRepresentation
bin110101110000000111…
…1111101100110010000
3102000221121121020101022
41223200033331212100
53342400421234134
6125010052055012
711224332653633
oct1534017754620
9360847536338
10115431430544
1144a55040291
121a455904468
13ab67853231
1458306abc1a
153008d7052e
hex1ae03fd990

115431430544 has 20 divisors (see below), whose sum is σ = 224223340380. Its totient is φ = 57567342720.

The previous prime is 115431430537. The next prime is 115431430579. The reversal of 115431430544 is 445034134511.

115431430544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 64485523600 + 50945906944 = 253940^2 + 225712^2 .

It is a super-3 number, since 3×1154314305443 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 3 ways as a sum of consecutive naturals, for example, 9266867 + ... + 9279314.

It is an arithmetic number, because the mean of its divisors is an integer number (11211167019).

Almost surely, 2115431430544 is an apocalyptic number.

It is an amenable number.

115431430544 is a deficient number, since it is larger than the sum of its proper divisors (108791909836).

115431430544 is a wasteful number, since it uses less digits than its factorization.

115431430544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18546578 (or 18546572 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 115431430544 in words is "one hundred fifteen billion, four hundred thirty-one million, four hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 389 778 1556 3112 6224 18546181 37092362 74184724 148369448 296738896 7214464409 14428928818 28857857636 57715715272 115431430544