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144464441 = 11210111821
BaseRepresentation
bin10001001110001…
…01101000111001
3101001211112221212
420213011220321
5243440330231
622200212505
73402633062
oct1047055071
9331745855
10144464441
1174601300
124046a135
1323c11424
1415287569
15ca3942b
hex89c5a39

144464441 has 12 divisors (see below), whose sum is σ = 160377252. Its totient is φ = 130020000.

The previous prime is 144464431. The next prime is 144464471.

144464441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 85174441 + 59290000 = 9229^2 + 7700^2 .

It is a de Polignac number, because none of the positive numbers 2k-144464441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144464398 and 144464407.

It is not an unprimeable number, because it can be changed into a prime (144464431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6311 + ... + 18131.

It is an arithmetic number, because the mean of its divisors is an integer number (13364771).

Almost surely, 2144464441 is an apocalyptic number.

144464441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144464441 is a deficient number, since it is larger than the sum of its proper divisors (15912811).

144464441 is a wasteful number, since it uses less digits than its factorization.

144464441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11944 (or 11933 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

The square root of 144464441 is about 12019.3361297536. The cubic root of 144464441 is about 524.7111832445.

The spelling of 144464441 in words is "one hundred forty-four million, four hundred sixty-four thousand, four hundred forty-one".

Divisors: 1 11 101 121 1111 11821 12221 130031 1193921 1430341 13133131 144464441