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14245224000 = 26353784793
BaseRepresentation
bin11010100010001010…
…01101111001000000
31100202202220100122220
431101011031321000
5213133234132000
610313312331040
71013003256210
oct152105157100
940682810586
1014245224000
11605006a6a7
122916843a80
13146036b737
14991cac240
155859221a0
hex35114de40

14245224000 has 224 divisors, whose sum is σ = 53758039296. Its totient is φ = 3256012800.

The previous prime is 14245223999. The next prime is 14245224013. The reversal of 14245224000 is 42254241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125604 + ... + 210396.

Almost surely, 214245224000 is an apocalyptic number.

14245224000 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 14245224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26879019648).

14245224000 is an abundant number, since it is smaller than the sum of its proper divisors (39512815296).

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

14245224000 is an equidigital number, since it uses as much as digits as its factorization.

14245224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84830 (or 84810 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 14245224000 its reverse (42254241), we get a palindrome (14287478241).

The spelling of 14245224000 in words is "fourteen billion, two hundred forty-five million, two hundred twenty-four thousand".