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14000200000 = 265570001
BaseRepresentation
bin11010000100111101…
…00001100101000000
31100010200211211220221
431002132201211000
5212133022400000
610233120512424
71003636510423
oct150236414500
940120754827
1014000200000
115a34825526
12286877b714
13142167bc17
1496b5299ba
1556e17261a
hex3427a1940

14000200000 has 84 divisors (see below), whose sum is σ = 34725332124. Its totient is φ = 5600000000.

The previous prime is 14000199991. The next prime is 14000200033. The reversal of 14000200000 is 200041.

It can be written as a sum of positive squares in 6 ways, for example, as 9046292544 + 4953907456 = 95112^2 + 70384^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165000 + ... + 235000.

It is an arithmetic number, because the mean of its divisors is an integer number (413396811).

Almost surely, 214000200000 is an apocalyptic number.

14000200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14000200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17362666062).

14000200000 is an abundant number, since it is smaller than the sum of its proper divisors (20725132124).

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

14000200000 is an frugal number, since it uses more digits than its factorization.

14000200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70038 (or 70008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 14000200000 its reverse (200041), we get a palindrome (14000400041).

The spelling of 14000200000 in words is "fourteen billion, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 25000 40000 50000 70001 100000 140002 200000 280004 350005 560008 700010 1120016 1400020 1750025 2240032 2800040 3500050 4480064 5600080 7000100 8750125 11200160 14000200 17500250 22400320 28000400 35000500 43750625 56000800 70001000 87501250 112001600 140002000 175002500 218753125 280004000 350005000 437506250 560008000 700010000 875012500 1400020000 1750025000 2800040000 3500050000 7000100000 14000200000