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14001224200 = 235270006121
BaseRepresentation
bin11010000101000100…
…11011101000001000
31100010202202212212021
431002202123220020
5212133303133300
610233154454224
71003651304425
oct150242335010
940122685767
1014001224200
115a35364a77
122868b94374
13142194a162
1496b714d4c
1556e2c5d1a
hex34289ba08

14001224200 has 24 divisors (see below), whose sum is σ = 32552846730. Its totient is φ = 5600489600.

The previous prime is 14001224141. The next prime is 14001224213. The reversal of 14001224200 is 242210041.

It can be written as a sum of positive squares in 3 ways, for example, as 7858113316 + 6143110884 = 88646^2 + 78378^2 .

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 5 ways as a sum of consecutive naturals, for example, 35002861 + ... + 35003260.

Almost surely, 214001224200 is an apocalyptic number.

14001224200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001224200 is an abundant number, since it is smaller than the sum of its proper divisors (18551622530).

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

14001224200 is a wasteful number, since it uses less digits than its factorization.

14001224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70006137 (or 70006128 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14001224200 its reverse (242210041), we get a palindrome (14243434241).

The spelling of 14001224200 in words is "fourteen billion, one million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 70006121 140012242 280024484 350030605 560048968 700061210 1400122420 1750153025 2800244840 3500306050 7000612100 14001224200