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14002134300 = 223252711972083
BaseRepresentation
bin11010000101001011…
…11001110100011100
31100010211111010021200
431002211321310130
5212134021244200
610233230155500
71003662114660
oct150245716434
940124433250
1014002134300
115a35926820
122869352b90
131421ba848b
1496b8b08a0
1556e405800
hex342979d1c

14002134300 has 432 divisors, whose sum is σ = 55309293312. Its totient is φ = 2878156800.

The previous prime is 14002134241. The next prime is 14002134313. The reversal of 14002134300 is 343120041.

14002134300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 6721059 + ... + 6723141.

Almost surely, 214002134300 is an apocalyptic number.

14002134300 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 14002134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27654646656).

14002134300 is an abundant number, since it is smaller than the sum of its proper divisors (41307159012).

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

14002134300 is a wasteful number, since it uses less digits than its factorization.

14002134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14002134300 its reverse (343120041), we get a palindrome (14345254341).

The spelling of 14002134300 in words is "fourteen billion, two million, one hundred thirty-four thousand, three hundred".