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144146343641441 = 19337104953214499
BaseRepresentation
bin100000110001100110101111…
…100110111100000101100001
3200220101020220112022111101112
4200301212233212330011201
5122343143202433011231
61230323525513113105
742235141525522031
oct4061465746740541
9626336815274345
10144146343641441
1141a25137109729
121420063a9b8795
136257c32404abb
142784a1255b8c1
15119e89d08092b
hex8319af9bc161

144146343641441 has 16 divisors (see below), whose sum is σ = 152185399080000. Its totient is φ = 136152540292608.

The previous prime is 144146343641423. The next prime is 144146343641483.

144146343641441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144146343641441 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 144146343641441.

It is not an unprimeable number, because it can be changed into a prime (144146343631441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671906810 + ... + 672121308.

It is an arithmetic number, because the mean of its divisors is an integer number (9511587442500).

Almost surely, 2144146343641441 is an apocalyptic number.

It is an amenable number.

144146343641441 is a deficient number, since it is larger than the sum of its proper divisors (8039055438559).

144146343641441 is a wasteful number, since it uses less digits than its factorization.

144146343641441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319808.

The product of its digits is 5308416, while the sum is 50.

The spelling of 144146343641441 in words is "one hundred forty-four trillion, one hundred forty-six billion, three hundred forty-three million, six hundred forty-one thousand, four hundred forty-one".

Divisors: 1 19 337 6403 104953 214499 1994107 4075481 35369161 72286163 672014059 1373437097 22512313547 427733957393 7586649665339 144146343641441