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14013243200 = 2652117091123
BaseRepresentation
bin11010000110100000…
…10001111101000000
31100011121101111211102
431003100101331000
5212144342240300
610234304233532
71004155413305
oct150320217500
940147344742
1014013243200
115a41124030
12287100b8a8
1314242979a8
1496d1630ac
1557039c0d5
hex343411f40

14013243200 has 168 divisors, whose sum is σ = 37702601760. Its totient is φ = 5084006400.

The previous prime is 14013243199. The next prime is 14013243203. The reversal of 14013243200 is 234231041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013243203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12477839 + ... + 12478961.

Almost surely, 214013243200 is an apocalyptic number.

14013243200 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 14013243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18851300880).

14013243200 is an abundant number, since it is smaller than the sum of its proper divisors (23689358560).

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

14013243200 is a wasteful number, since it uses less digits than its factorization.

14013243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14013243200 its reverse (234231041), we get a palindrome (14247474241).

The spelling of 14013243200 in words is "fourteen billion, thirteen million, two hundred forty-three thousand, two hundred".