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144844448441 = 71117110652749
BaseRepresentation
bin1000011011100101100…
…1101110001010111001
3111211212110101100200112
42012321121232022321
54333120134322231
6150312435114105
713315244332460
oct2067131561271
9454773340615
10144844448441
1156478a07a40
12240a4142935
1310874429b34
147020b9b9d7
153b7b19d92b
hex21b966e2b9

144844448441 has 16 divisors (see below), whose sum is σ = 191207952000. Its totient is φ = 106226638080.

The previous prime is 144844448423. The next prime is 144844448461.

144844448441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 144844448441 - 218 = 144844186297 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 144844448441.

It is not an unprimeable number, because it can be changed into a prime (144844448461) 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, 55325066 + ... + 55327683.

It is an arithmetic number, because the mean of its divisors is an integer number (11950497000).

Almost surely, 2144844448441 is an apocalyptic number.

144844448441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144844448441 is a deficient number, since it is larger than the sum of its proper divisors (46363503559).

144844448441 is a wasteful number, since it uses less digits than its factorization.

144844448441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110652784.

The product of its digits is 4194304, while the sum is 50.

The spelling of 144844448441 in words is "one hundred forty-four billion, eight hundred forty-four million, four hundred forty-eight thousand, four hundred forty-one".

Divisors: 1 7 11 17 77 119 187 1309 110652749 774569243 1217180239 1881096733 8520261673 13167677131 20692064063 144844448441