Search a number
-
+
14431745705 = 513227761657
BaseRepresentation
bin11010111000011001…
…01111011010101001
31101020202212122100012
431130030233122221
5214024011330310
610344014221305
71020426546236
oct153414573251
941222778305
1014431745705
116136387173
1229691b4835
13148cbb6c00
149ac98278d
15596eb7c05
hex35c32f6a9

14431745705 has 24 divisors (see below), whose sum is σ = 18820734552. Its totient is φ = 10618642944.

The previous prime is 14431745683. The next prime is 14431745729. The reversal of 14431745705 is 50754713441.

It can be written as a sum of positive squares in 12 ways, for example, as 10697558041 + 3734187664 = 103429^2 + 61108^2 .

It is not a de Polignac number, because 14431745705 - 224 = 14414968489 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 203237 + ... + 264893.

It is an arithmetic number, because the mean of its divisors is an integer number (784197273).

Almost surely, 214431745705 is an apocalyptic number.

It is an amenable number.

14431745705 is a deficient number, since it is larger than the sum of its proper divisors (4388988847).

14431745705 is a wasteful number, since it uses less digits than its factorization.

14431745705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61965 (or 61952 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 14431745705 in words is "fourteen billion, four hundred thirty-one million, seven hundred forty-five thousand, seven hundred five".

Divisors: 1 5 13 65 169 277 845 1385 3601 18005 46813 61657 234065 308285 801541 4007705 10420033 17078989 52100165 85394945 222026857 1110134285 2886349141 14431745705