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105442255344 = 24312391177283
BaseRepresentation
bin110001000110011011…
…0010010000111110000
3101002011110012120002110
41202030312102013300
53211421204132334
6120234533245320
710421646245106
oct1421466220760
9332143176073
10105442255344
114079944a098
1218528493840
139c35185b8a
145163b65c76
152b21deeae9
hex188cd921f0

105442255344 has 40 divisors (see below), whose sum is σ = 272416012672. Its totient is φ = 35144383680.

The previous prime is 105442255313. The next prime is 105442255367. The reversal of 105442255344 is 443552244501.

It is a super-2 number, since 2×1054422553442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506127 + ... + 683409.

Almost surely, 2105442255344 is an apocalyptic number.

It is an amenable number.

105442255344 is an abundant number, since it is smaller than the sum of its proper divisors (166973757328).

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

105442255344 is a wasteful number, since it uses less digits than its factorization.

105442255344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189685 (or 189679 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 105442255344 its reverse (443552244501), we get a palindrome (548994499845).

The spelling of 105442255344 in words is "one hundred five billion, four hundred forty-two million, two hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 12391 24782 37173 49564 74346 99128 148692 177283 198256 297384 354566 531849 594768 709132 1063698 1418264 2127396 2836528 4254792 8509584 2196713653 4393427306 6590140959 8786854612 13180281918 17573709224 26360563836 35147418448 52721127672 105442255344