Search a number
-
+
14004660020 = 2251353864077
BaseRepresentation
bin11010000101011111…
…00010011100110100
31100011000020102220212
431002233202130310
5212140143110040
610233400244552
71004022434411
oct150257423464
940130212825
1014004660020
115a372a139a
12286a170758
131422580ca0
1496bd6b108
1556e753d65
hex342be2734

14004660020 has 24 divisors (see below), whose sum is σ = 31672077864. Its totient is φ = 5170951296.

The previous prime is 14004660013. The next prime is 14004660023. The reversal of 14004660020 is 2006640041.

It is a happy number.

14004660020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22543504 + 13982116516 = 4748^2 + 118246^2 .

It is a super-2 number, since 2×140046600202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004660023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26931779 + ... + 26932298.

It is an arithmetic number, because the mean of its divisors is an integer number (1319669911).

Almost surely, 214004660020 is an apocalyptic number.

14004660020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004660020 is an abundant number, since it is smaller than the sum of its proper divisors (17667417844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14004660020 is a wasteful number, since it uses less digits than its factorization.

14004660020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53864099 (or 53864097 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The spelling of 14004660020 in words is "fourteen billion, four million, six hundred sixty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 53864077 107728154 215456308 269320385 538640770 700233001 1077281540 1400466002 2800932004 3501165005 7002330010 14004660020