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14012205696 = 2732103269439
BaseRepresentation
bin11010000110011000…
…10100101010000000
31100011112102210122100
431003030110222000
5212144111040241
610234230110400
71004143532436
oct150314245200
940145383570
1014012205696
115a40585595
1228707ab400
131423cc3698
1496cd72d56
155702449b6
hex343314a80

14012205696 has 192 divisors, whose sum is σ = 40957488000. Its totient is φ = 4597696512.

The previous prime is 14012205673. The next prime is 14012205721. The reversal of 14012205696 is 69650221041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14012205696.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31918245 + ... + 31918683.

It is an arithmetic number, because the mean of its divisors is an integer number (213320250).

Almost surely, 214012205696 is an apocalyptic number.

14012205696 is a gapful number since it is divisible by the number (16) 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 14012205696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20478744000).

14012205696 is an abundant number, since it is smaller than the sum of its proper divisors (26945282304).

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

14012205696 is a wasteful number, since it uses less digits than its factorization.

14012205696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 14012205696 in words is "fourteen billion, twelve million, two hundred five thousand, six hundred ninety-six".