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105440544424 = 2313180068053
BaseRepresentation
bin110001000110010111…
…1110000011010101000
3101002011022222122011001
41202030233300122220
53211420234410144
6120234432444344
710421625561025
oct1421457603250
9332138878131
10105440544424
1140798490706
12185279a96b4
139c34a071b7
14516383c54c
152b21bb2bd4
hex188cbf06a8

105440544424 has 8 divisors (see below), whose sum is σ = 197701020810. Its totient is φ = 52720272208.

The previous prime is 105440544397. The next prime is 105440544427. The reversal of 105440544424 is 424445044501.

105440544424 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 only one way, i.e., 95346323524 + 10094220900 = 308782^2 + 100470^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×1054405444242 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105440544427) 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 as a sum of consecutive naturals, namely, 6590034019 + ... + 6590034034.

Almost surely, 2105440544424 is an apocalyptic number.

It is an amenable number.

105440544424 is a deficient number, since it is larger than the sum of its proper divisors (92260476386).

105440544424 is a wasteful number, since it uses less digits than its factorization.

105440544424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13180068059 (or 13180068055 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 37.

Adding to 105440544424 its reverse (424445044501), we get a palindrome (529885588925).

The spelling of 105440544424 in words is "one hundred five billion, four hundred forty million, five hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13180068053 26360136106 52720272212 105440544424