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14204054304 = 25321129349443
BaseRepresentation
bin11010011101010000…
…01010101100100000
31100122220102201110100
431032220022230200
5213042214214204
610305242102400
71011663320016
oct151650125440
940586381410
1014204054304
116029900260
122904aaaa00
13145498567b
1498a6328b6
15581edda39
hex34ea0ab20

14204054304 has 288 divisors, whose sum is σ = 45818136000. Its totient is φ = 4134574080.

The previous prime is 14204054281. The next prime is 14204054311. The reversal of 14204054304 is 40345040241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32063107 + ... + 32063549.

It is an arithmetic number, because the mean of its divisors is an integer number (159090750).

Almost surely, 214204054304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14204054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22909068000).

14204054304 is an abundant number, since it is smaller than the sum of its proper divisors (31614081696).

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

14204054304 is a wasteful number, since it uses less digits than its factorization.

14204054304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14204054304 its reverse (40345040241), we get a palindrome (54549094545).

The spelling of 14204054304 in words is "fourteen billion, two hundred four million, fifty-four thousand, three hundred four".