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14001810041 = 731379771433
BaseRepresentation
bin11010000101001001…
…01010101001111001
31100010210212122111002
431002210222221321
5212133430410131
610233215214345
71003656264422
oct150244525171
940123778432
1014001810041
115a3572513a
1228692173b5
131421ac39cb
1496b828649
1556e38e6cb
hex34292aa79

14001810041 has 16 divisors (see below), whose sum is σ = 14321839824. Its totient is φ = 13685612544.

The previous prime is 14001810037. The next prime is 14001810107.

It is a happy number.

14001810041 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 3481000000 + 10520810041 = 59000^2 + 102571^2 .

It is a cyclic number.

It is not a de Polignac number, because 14001810041 - 22 = 14001810037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14001809995 and 14001810022.

It is not an unprimeable number, because it can be changed into a prime (14001810341) 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, 9770261 + ... + 9771693.

It is an arithmetic number, because the mean of its divisors is an integer number (895114989).

Almost surely, 214001810041 is an apocalyptic number.

It is an amenable number.

14001810041 is a deficient number, since it is larger than the sum of its proper divisors (320029783).

14001810041 is a wasteful number, since it uses less digits than its factorization.

14001810041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 14001810041 in words is "fourteen billion, one million, eight hundred ten thousand, forty-one".

Divisors: 1 73 137 977 1433 10001 71321 104609 133849 196321 1400041 9770977 14331433 102202993 191805617 14001810041