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14323050400 = 255217903813
BaseRepresentation
bin11010101011011100…
…00110011110100000
31100222012100100102011
431111232012132200
5213313200103100
610325132402304
71014636630301
oct152556063640
940865310364
1014323050400
11608aa9683a
122938916394
13147351a669
1499c36a7a8
1558c696bba
hex355b867a0

14323050400 has 36 divisors (see below), whose sum is σ = 34966148742. Its totient is φ = 5729219840.

The previous prime is 14323050389. The next prime is 14323050407. The reversal of 14323050400 is 405032341.

14323050400 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 3 ways, for example, as 13379086224 + 943964176 = 115668^2 + 30724^2 .

It is not an unprimeable number, because it can be changed into a prime (14323050407) 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 5 ways as a sum of consecutive naturals, for example, 8951107 + ... + 8952706.

Almost surely, 214323050400 is an apocalyptic number.

14323050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14323050400 is an abundant number, since it is smaller than the sum of its proper divisors (20643098342).

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

14323050400 is a wasteful number, since it uses less digits than its factorization.

14323050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17903833 (or 17903820 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 14323050400 its reverse (405032341), we get a palindrome (14728082741).

The spelling of 14323050400 in words is "fourteen billion, three hundred twenty-three million, fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 17903813 35807626 71615252 89519065 143230504 179038130 286461008 358076260 447595325 572922016 716152520 895190650 1432305040 1790381300 2864610080 3580762600 7161525200 14323050400