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1441116111441 = 337107111212121
BaseRepresentation
bin10100111110001001001…
…101101100001001010001
312002202202212012200001010
4110332021031230021101
5142102401211031231
63022012315401133
7206055125556036
oct24761115541121
95082685180033
101441116111441
115061a0525386
121b336aa531a9
13a5b86c8b5b6
144da7110b38d
1527747b11546
hex14f8936c251

1441116111441 has 16 divisors (see below), whose sum is σ = 1973606131328. Its totient is φ = 934689974400.

The previous prime is 1441116111427. The next prime is 1441116111509.

1441116111441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1441116111441 - 214 = 1441116095057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1441116111399 and 1441116111408.

It is not an unprimeable number, because it can be changed into a prime (1441116112441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582861 + ... + 1794981.

It is an arithmetic number, because the mean of its divisors is an integer number (123350383208).

Almost surely, 21441116111441 is an apocalyptic number.

It is an amenable number.

1441116111441 is a deficient number, since it is larger than the sum of its proper divisors (532490019887).

1441116111441 is a wasteful number, since it uses less digits than its factorization.

1441116111441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222872.

The product of its digits is 1536, while the sum is 30.

The spelling of 1441116111441 in words is "one trillion, four hundred forty-one billion, one hundred sixteen million, one hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 37 111 10711 32133 396307 1188921 1212121 3636363 44848477 134545431 12983028031 38949084093 480372037147 1441116111441