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144556655441 = 11177247106669
BaseRepresentation
bin1000011010100000111…
…1111000001101010001
3111211010101211221220112
42012220033320031101
54332023000433231
6150224114451105
713305151204022
oct2065017701521
9454111757815
10144556655441
1156340510890
1224023893a95
1310829914313
146dd4884c49
153b60ca192b
hex21a83f8351

144556655441 has 16 divisors (see below), whose sum is σ = 166999138560. Its totient is φ = 123666612480.

The previous prime is 144556655423. The next prime is 144556655447.

144556655441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 144556655441 - 218 = 144556393297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144556655441.

It is not an unprimeable number, because it can be changed into a prime (144556655447) 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 in 15 ways as a sum of consecutive naturals, for example, 1301855 + ... + 1408523.

It is an arithmetic number, because the mean of its divisors is an integer number (10437446160).

Almost surely, 2144556655441 is an apocalyptic number.

144556655441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144556655441 is a deficient number, since it is larger than the sum of its proper divisors (22442483119).

144556655441 is a wasteful number, since it uses less digits than its factorization.

144556655441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113944.

The product of its digits is 5760000, while the sum is 50.

It can be divided in two parts, 144556 and 655441, that added together give a palindrome (799997).

The spelling of 144556655441 in words is "one hundred forty-four billion, five hundred fifty-six million, six hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 11 17 187 7247 79717 106669 123199 1173359 1355189 1813373 19947103 773030243 8503332673 13141514131 144556655441