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14240220000 = 253541723607
BaseRepresentation
bin11010100001100100…
…01000001101100000
31100202102111010110120
431100302020031200
5213130444020000
610313013200240
71012612605246
oct152062101540
940672433416
1014240220000
116048262066
122915030080
13145c308ba6
14991368796
155852846a0
hex350c88360

14240220000 has 480 divisors, whose sum is σ = 51693852672. Its totient is φ = 3412992000.

The previous prime is 14240219993. The next prime is 14240220013. The reversal of 14240220000 is 2204241.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23459697 + ... + 23460303.

Almost surely, 214240220000 is an apocalyptic number.

14240220000 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 14240220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25846926336).

14240220000 is an abundant number, since it is smaller than the sum of its proper divisors (37453632672).

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

14240220000 is a wasteful number, since it uses less digits than its factorization.

14240220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 14240220000 its reverse (2204241), we get a palindrome (14242424241).

The spelling of 14240220000 in words is "fourteen billion, two hundred forty million, two hundred twenty thousand".