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441445141544144 = 2427590321346509
BaseRepresentation
bin110010001011111011111010…
…0110110010111110011010000
32010220000202001220221222001112
41210113313310312113303100
5430330114122213403034
64202513033125552452
7161661234063315503
oct14427676466276320
92126022056858045
10441445141544144
11118726918a50231
1241617038875728
1315c42137a5b63a
147b020b76c513a
1536080040577ce
hex1917df4d97cd0

441445141544144 has 10 divisors (see below), whose sum is σ = 855299961741810. Its totient is φ = 220722570772064.

The previous prime is 441445141544123. The next prime is 441445141544149.

441445141544144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 386227045075600 + 55218096468544 = 19652660^2 + 7430888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 441445141544092 and 441445141544101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441445141544149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13795160673239 + ... + 13795160673270.

It is an arithmetic number, because the mean of its divisors is an integer number (85529996174181).

Almost surely, 2441445141544144 is an apocalyptic number.

It is an amenable number.

441445141544144 is a deficient number, since it is larger than the sum of its proper divisors (413854820197666).

441445141544144 is a wasteful number, since it uses less digits than its factorization.

441445141544144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27590321346517 (or 27590321346511 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 50.

The spelling of 441445141544144 in words is "four hundred forty-one trillion, four hundred forty-five billion, one hundred forty-one million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 27590321346509 55180642693018 110361285386036 220722570772072 441445141544144