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144343242343441 = 2314976493550631
BaseRepresentation
bin100000110100011110000111…
…101011111000010000010001
3200221002002010201221220211001
4200310132013223320100101
5122404404430014442231
61230554211535422001
742255312051053641
oct4064360753702021
9627062121856731
10144343242343441
1141aa0697311829
121423282b984901
1362706810631ab
1427903707c8521
1511a4a74101b61
hex834787af8411

144343242343441 has 16 divisors (see below), whose sum is σ = 151632159148800. Its totient is φ = 137138780109760.

The previous prime is 144343242343379. The next prime is 144343242343459.

144343242343441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 144343242343441 - 211 = 144343242341393 is a prime.

It is a super-2 number, since 2×1443432423434412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144343242343391 and 144343242343400.

It is not an unprimeable number, because it can be changed into a prime (144343242353441) 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, 261866196 + ... + 262416826.

It is an arithmetic number, because the mean of its divisors is an integer number (9477009946800).

Almost surely, 2144343242343441 is an apocalyptic number.

It is an amenable number.

144343242343441 is a deficient number, since it is larger than the sum of its proper divisors (7288916805359).

144343242343441 is a wasteful number, since it uses less digits than its factorization.

144343242343441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627296.

The product of its digits is 5308416, while the sum is 46.

The spelling of 144343242343441 in words is "one hundred forty-four trillion, three hundred forty-three billion, two hundred forty-two million, three hundred forty-three thousand, four hundred forty-one".

Divisors: 1 23 149 3427 76493 550631 1759339 11397457 12664513 82044019 262141511 1887012437 42119417083 968746592909 6275793145367 144343242343441