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105232344144 = 2438326413741
BaseRepresentation
bin110001000000001010…
…1100010010001010000
3101001121211012222001120
41202000111202101100
53211003440003034
6120202034202240
710413520111104
oct1420025422120
9331554188046
10105232344144
11406a0a07764
121848a123380
139c0083b575
145143d23904
152b0d788c49
hex1880562450

105232344144 has 40 divisors (see below), whose sum is σ = 275125536672. Its totient is φ = 34654826880.

The previous prime is 105232344103. The next prime is 105232344149. The reversal of 105232344144 is 441443232501.

It is a super-2 number, since 2×1052323441442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105232344149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13202887 + ... + 13210854.

Almost surely, 2105232344144 is an apocalyptic number.

It is an amenable number.

105232344144 is an abundant number, since it is smaller than the sum of its proper divisors (169893192528).

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

105232344144 is a wasteful number, since it uses less digits than its factorization.

105232344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26413835 (or 26413829 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 105232344144 its reverse (441443232501), we get a palindrome (546675576645).

The spelling of 105232344144 in words is "one hundred five billion, two hundred thirty-two million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 26413741 52827482 79241223 105654964 158482446 211309928 316964892 422619856 633929784 1267859568 2192340503 4384681006 6577021509 8769362012 13154043018 17538724024 26308086036 35077448048 52616172072 105232344144