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144632236441 = 7111012184133
BaseRepresentation
bin1000011010110011000…
…0001100100110011001
3111211022200001212112211
42012230300030212121
54332201323031231
6150235414435121
713310056503550
oct2065460144631
9454280055484
10144632236441
115637a143a20
1224045062aa1
131083c4881c4
14700091ad97
153b67730eb1
hex21acc0c999

144632236441 has 24 divisors (see below), whose sum is σ = 182124729792. Its totient is φ = 111583992000.

The previous prime is 144632236429. The next prime is 144632236447.

144632236441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144632236441 - 27 = 144632236313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144632236394 and 144632236403.

It is not an unprimeable number, because it can be changed into a prime (144632236447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693411 + ... + 877543.

It is an arithmetic number, because the mean of its divisors is an integer number (7588530408).

Almost surely, 2144632236441 is an apocalyptic number.

144632236441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144632236441 is a deficient number, since it is larger than the sum of its proper divisors (37492493351).

144632236441 is a wasteful number, since it uses less digits than its factorization.

144632236441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184353 (or 184252 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 144632236441 in words is "one hundred forty-four billion, six hundred thirty-two million, two hundred thirty-six thousand, four hundred forty-one".

Divisors: 1 7 11 77 101 707 1111 7777 10201 71407 112211 184133 785477 1288931 2025463 14178241 18597433 130182031 204571763 1432002341 1878340733 13148385131 20661748063 144632236441