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144444444441 = 31110359371663
BaseRepresentation
bin1000011010000110001…
…1110100111100011001
3111210211120201001100120
42012201203310330121
54331310234210231
6150205025423453
713302316343163
oct2064143647431
9453746631316
10144444444441
115629313a020
1223bb219ab89
131080c5b678b
146dc39d5933
153b55ed8d96
hex21a18f4f19

144444444441 has 32 divisors (see below), whose sum is σ = 212501532672. Its totient is φ = 86544764160.

The previous prime is 144444444407. The next prime is 144444444449.

144444444441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144444444441 - 26 = 144444444377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144444444393 and 144444444402.

It is not an unprimeable number, because it can be changed into a prime (144444444449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979776 + ... + 2051438.

It is an arithmetic number, because the mean of its divisors is an integer number (6640672896).

Almost surely, 2144444444441 is an apocalyptic number.

144444444441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144444444441 is a deficient number, since it is larger than the sum of its proper divisors (68057088231).

144444444441 is a wasteful number, since it uses less digits than its factorization.

144444444441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72373.

The product of its digits is 1048576, while the sum is 42.

It can be divided in two parts, 144444 and 444441, that added together give a palindrome (588885).

The spelling of 144444444441 in words is "one hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 11 33 103 309 593 1133 1779 3399 6523 19569 61079 71663 183237 214989 671869 788293 2015607 2364879 7381289 22143867 42496159 81194179 127488477 243582537 467457749 1402373247 4377104377 13131313131 48148148147 144444444441