Search a number
-
+
14188464945 = 3251718547013
BaseRepresentation
bin11010011011011001…
…01100101100110001
31100121211002200212200
431031230230230301
5213024221334240
610303524013413
71011413651004
oct151554545461
940554080780
1014188464945
116021022796
1228bb831269
1314516879b5
1498853553b
1558095e930
hex34db2cb31

14188464945 has 24 divisors (see below), whose sum is σ = 26040007656. Its totient is φ = 7122052608.

The previous prime is 14188464931. The next prime is 14188464949. The reversal of 14188464945 is 54946488141.

14188464945 is a `hidden beast` number, since 1 + 418 + 84 + 64 + 94 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2277580176 + 11910884769 = 47724^2 + 109137^2 .

It is not a de Polignac number, because 14188464945 - 212 = 14188460849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14188464891 and 14188464900.

It is not an unprimeable number, because it can be changed into a prime (14188464949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9272742 + ... + 9274271.

It is an arithmetic number, because the mean of its divisors is an integer number (1085000319).

Almost surely, 214188464945 is an apocalyptic number.

14188464945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14188464945 is a deficient number, since it is larger than the sum of its proper divisors (11851542711).

14188464945 is a wasteful number, since it uses less digits than its factorization.

14188464945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18547041 (or 18547038 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 14188464945 in words is "fourteen billion, one hundred eighty-eight million, four hundred sixty-four thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 18547013 55641039 92735065 166923117 278205195 315299221 834615585 945897663 1576496105 2837692989 4729488315 14188464945