Search a number
-
+
114200444413 = 11416122918127
BaseRepresentation
bin110101001011011100…
…0000111110111111101
3101220202211021122212101
41222112320013313331
53332340303210123
6124243555505101
711151664522036
oct1522670076775
9356684248771
10114200444413
11444831a0180
121a1715b8191
13a9cc7ccc83
145754dd3a8d
152e85c63aad
hex1a96e07dfd

114200444413 has 32 divisors (see below), whose sum is σ = 130286661120. Its totient is φ = 99185472000.

The previous prime is 114200444387. The next prime is 114200444447. The reversal of 114200444413 is 314444002411.

It is a cyclic number.

It is not a de Polignac number, because 114200444413 - 233 = 105610509821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114200444453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6290956 + ... + 6309082.

It is an arithmetic number, because the mean of its divisors is an integer number (4071458160).

Almost surely, 2114200444413 is an apocalyptic number.

It is an amenable number.

114200444413 is a deficient number, since it is larger than the sum of its proper divisors (16086216707).

114200444413 is a wasteful number, since it uses less digits than its factorization.

114200444413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18469.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 114200444413 its reverse (314444002411), we get a palindrome (428644446824).

The spelling of 114200444413 in words is "one hundred fourteen billion, two hundred million, four hundred forty-four thousand, four hundred thirteen".

Divisors: 1 11 41 61 229 451 671 2501 2519 9389 13969 18127 27511 103279 153659 199397 572729 743207 1105747 4151083 6300019 8175277 12163217 45335627 45661913 170194403 253216063 498691897 1872138433 2785376693 10381858583 114200444413