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14231002000 = 24537115501
BaseRepresentation
bin11010100000011101…
…11101101110010000
31100201210010210202011
431100032331232100
5213121114031000
610312043432304
71012441343515
oct152016755620
940653123664
1014231002000
116043036486
122911b25694
13145a42c257
1499004930c
155845632ba
hex3503bdb90

14231002000 has 40 divisors (see below), whose sum is σ = 34410567672. Its totient is φ = 5692400000.

The previous prime is 14231001997. The next prime is 14231002001. The reversal of 14231002000 is 20013241.

14231002000 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 19501056 + 14211500944 = 4416^2 + 119212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (14231002001) 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, 3555751 + ... + 3559750.

Almost surely, 214231002000 is an apocalyptic number.

14231002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14231002000 is an abundant number, since it is smaller than the sum of its proper divisors (20179565672).

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

14231002000 is an equidigital number, since it uses as much as digits as its factorization.

14231002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115524 (or 7115508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 14231002000 its reverse (20013241), we get a palindrome (14251015241).

The spelling of 14231002000 in words is "fourteen billion, two hundred thirty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 7115501 14231002 28462004 35577505 56924008 71155010 113848016 142310020 177887525 284620040 355775050 569240080 711550100 889437625 1423100200 1778875250 2846200400 3557750500 7115501000 14231002000