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144105831 = 3335914867
BaseRepresentation
bin10001001011011…
…10000101100111
3101001011100001000
420211232011213
5243342341311
622144404343
73366610422
oct1045560547
9331140030
10144105831
1174386931
12403166b3
1323b1712c
14151d29b9
15c9b8056
hex896e167

144105831 has 16 divisors (see below), whose sum is σ = 214099200. Its totient is φ = 95796504.

The previous prime is 144105827. The next prime is 144105859. The reversal of 144105831 is 138501441.

It is a happy number.

144105831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144105831 - 22 = 144105827 is a prime.

It is a super-2 number, since 2×1441058312 = 41532981056401122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144105795 and 144105804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144105631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2260 + ... + 17126.

It is an arithmetic number, because the mean of its divisors is an integer number (13381200).

Almost surely, 2144105831 is an apocalyptic number.

144105831 is a deficient number, since it is larger than the sum of its proper divisors (69993369).

144105831 is a wasteful number, since it uses less digits than its factorization.

144105831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15235 (or 15229 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 144105831 is about 12004.4088150979. The cubic root of 144105831 is about 524.2766528065.

The spelling of 144105831 in words is "one hundred forty-four million, one hundred five thousand, eight hundred thirty-one".

Divisors: 1 3 9 27 359 1077 3231 9693 14867 44601 133803 401409 5337253 16011759 48035277 144105831