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144011464110441 = 3241583966839351
BaseRepresentation
bin100000101111101001001000…
…001010010111000101101001
3200212220100202112200101121100
4200233221020022113011221
5122333440434303013231
61230141541524432013
742222325221443544
oct4057511012270551
9625810675611540
10144011464110441
1141982a12134754
121419a477b48609
1362482b8630c25
14277c298dcd85b
15119b106b601e6
hex82fa48297169

144011464110441 has 24 divisors (see below), whose sum is σ = 213126631361280. Its totient is φ = 93649950072000.

The previous prime is 144011464110373. The next prime is 144011464110497.

144011464110441 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 1 + 1 + 4 + 641 + 1 + 0 + 4 + 4 + 1 = 666.

144011464110441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144011464110441 - 231 = 144009316626793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144011464110396 and 144011464110405.

It is not an unprimeable number, because it can be changed into a prime (144011464112441) 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, 31265085 + ... + 35574266.

It is an arithmetic number, because the mean of its divisors is an integer number (8880276306720).

Almost surely, 2144011464110441 is an apocalyptic number.

It is an amenable number.

144011464110441 is a deficient number, since it is larger than the sum of its proper divisors (69115167250839).

144011464110441 is a wasteful number, since it uses less digits than its factorization.

144011464110441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66845237 (or 66845234 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 144011464110441 in words is "one hundred forty-four trillion, eleven billion, four hundred sixty-four million, one hundred ten thousand, four hundred forty-one".

Divisors: 1 3 9 41 123 369 5839 17517 52551 239399 718197 2154591 66839351 200518053 601554159 2740413391 8221240173 24663720519 390274970489 1170824911467 3512474734401 16001273790049 48003821370147 144011464110441