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144183381441 = 3114439862739
BaseRepresentation
bin1000011001000111111…
…1111100110111000001
3111210011101110200020120
42012101333330313001
54330241421201231
6150123102130453
713262666343441
oct2062177746701
9453141420216
10144183381441
115616983a580
1223b3a880a29
131079a49c728
146d9b07a121
153b3d11bd96
hex2191ffcdc1

144183381441 has 16 divisors (see below), whose sum is σ = 210194714880. Its totient is φ = 87186603920.

The previous prime is 144183381403. The next prime is 144183381457.

144183381441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 144183381441 - 211 = 144183379393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144183381393 and 144183381402.

It is not an unprimeable number, because it can be changed into a prime (144183381401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4916751 + ... + 4945988.

It is an arithmetic number, because the mean of its divisors is an integer number (13137169680).

Almost surely, 2144183381441 is an apocalyptic number.

144183381441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144183381441 is a deficient number, since it is larger than the sum of its proper divisors (66011333439).

144183381441 is a wasteful number, since it uses less digits than its factorization.

144183381441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9863196.

The product of its digits is 147456, while the sum is 42.

The spelling of 144183381441 in words is "one hundred forty-four billion, one hundred eighty-three million, three hundred eighty-one thousand, four hundred forty-one".

Divisors: 1 3 11 33 443 1329 4873 14619 9862739 29588217 108490129 325470387 4369193377 13107580131 48061127147 144183381441