Search a number
14002006200 = 233527132937239
BaseRepresentation
bin11010000101001010…
…11010100010111000
31100010211020121120020
431002211122202320
5212134003144300
610233223330440
71003661042340
oct150245324270
940124217506
1014002006200
115a35849556
1228692b0a20
131421b62090
1496b879d20
1556e3cc8a0
hex34295a8b8

14002006200 has 768 divisors, whose sum is σ = 56996352000. Its totient is φ = 2763694080.

The previous prime is 14002006169. The next prime is 14002006211. The reversal of 14002006200 is 260020041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14002006200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58585681 + ... + 58585919.

It is an arithmetic number, because the mean of its divisors is an integer number (74214000).

Almost surely, 214002006200 is an apocalyptic number.

14002006200 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 14002006200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176000).

14002006200 is an abundant number, since it is smaller than the sum of its proper divisors (42994345800).

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

14002006200 is a wasteful number, since it uses less digits than its factorization.

14002006200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 14002006200 its reverse (260020041), we get a palindrome (14262026241).

The spelling of 14002006200 in words is "fourteen billion, two million, six thousand, two hundred".