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14019301800 = 23355273292
BaseRepresentation
bin11010000111001110…
…11001000110101000
31100012000210022200000
431003213121012220
5212202420124200
610235042143000
71004261046000
oct150347310650
940160708600
1014019301800
115a44591a39
122873051a60
13142560956a
1496dc9d000
15570b97300
hex3439d91a8

14019301800 has 864 divisors, whose sum is σ = 58970184000. Its totient is φ = 3093914880.

The previous prime is 14019301763. The next prime is 14019301819. The reversal of 14019301800 is 810391041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 483424186 + ... + 483424214.

Almost surely, 214019301800 is an apocalyptic number.

14019301800 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 14019301800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29485092000).

14019301800 is an abundant number, since it is smaller than the sum of its proper divisors (44950882200).

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

14019301800 is an equidigital number, since it uses as much as digits as its factorization.

14019301800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 14019301800 its reverse (810391041), we get a palindrome (14829692841).

The spelling of 14019301800 in words is "fourteen billion, nineteen million, three hundred one thousand, eight hundred".