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144146641441 = 11195691212121
BaseRepresentation
bin1000011000111111001…
…1110011001000100001
3111210001211100002102211
42012033303303020201
54330203020011231
6150115310442121
713262042143645
oct2061763631041
9453054302384
10144146641441
1156150026240
1223b2a503341
13107929a799a
146d96234c25
153b39cb0eb1
hex218fcf3221

144146641441 has 16 divisors (see below), whose sum is σ = 165818289600. Its totient is φ = 123927148800.

The previous prime is 144146641433. The next prime is 144146641487.

144146641441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 144146641441 - 23 = 144146641433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144146641394 and 144146641403.

It is not an unprimeable number, because it can be changed into a prime (144146641421) 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, 487140 + ... + 724981.

It is an arithmetic number, because the mean of its divisors is an integer number (10363643100).

Almost surely, 2144146641441 is an apocalyptic number.

144146641441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144146641441 is a deficient number, since it is larger than the sum of its proper divisors (21671648159).

144146641441 is a wasteful number, since it uses less digits than its factorization.

144146641441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212720.

The product of its digits is 147456, while the sum is 40.

It can be divided in two parts, 144146 and 641441, that added together give a palindrome (785587).

The spelling of 144146641441 in words is "one hundred forty-four billion, one hundred forty-six million, six hundred forty-one thousand, four hundred forty-one".

Divisors: 1 11 19 209 569 6259 10811 118921 1212121 13333331 23030299 253333289 689696849 7586665339 13104240131 144146641441