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14312450000 = 2455286249
BaseRepresentation
bin11010101010001011…
…01010011111010000
31100221110101210101202
431111011222133100
5213302441400000
610324113250332
71014450550322
oct152505523720
940843353352
1014312450000
116085006582
1229352639a8
131471278734
1499abab612
1558b7a0dd5
hex35516a7d0

14312450000 has 60 divisors (see below), whose sum is σ = 34660867500. Its totient is φ = 5724960000.

The previous prime is 14312449973. The next prime is 14312450003. The reversal of 14312450000 is 5421341.

14312450000 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 6 ways, for example, as 13580639296 + 731810704 = 116536^2 + 27052^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14312450003) 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 11 ways as a sum of consecutive naturals, for example, 93125 + ... + 193124.

It is an arithmetic number, because the mean of its divisors is an integer number (577681125).

Almost surely, 214312450000 is an apocalyptic number.

14312450000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14312450000 is an abundant number, since it is smaller than the sum of its proper divisors (20348417500).

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

14312450000 is an frugal number, since it uses more digits than its factorization.

14312450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286282 (or 286256 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 14312450000 its reverse (5421341), we get a palindrome (14317871341).

The spelling of 14312450000 in words is "fourteen billion, three hundred twelve million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 10000 12500 25000 50000 286249 572498 1144996 1431245 2289992 2862490 4579984 5724980 7156225 11449960 14312450 22899920 28624900 35781125 57249800 71562250 114499600 143124500 178905625 286249000 357811250 572498000 715622500 894528125 1431245000 1789056250 2862490000 3578112500 7156225000 14312450000