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14310196992 = 283371322751
BaseRepresentation
bin11010101001111010…
…00100011100000000
31100221022011022212000
431110331010130000
5213301402300432
610323553104000
71014422444640
oct152475043400
940838138760
1014310196992
116083807893
122934558000
13147096a0b0
1499a782520
1558b4a857c
hex354f44700

14310196992 has 288 divisors, whose sum is σ = 52085698560. Its totient is φ = 3773952000.

The previous prime is 14310196991. The next prime is 14310197009. The reversal of 14310196992 is 29969101341.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14310196991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617617 + ... + 640367.

It is an arithmetic number, because the mean of its divisors is an integer number (180853120).

Almost surely, 214310196992 is an apocalyptic number.

14310196992 is a gapful number since it is divisible by the number (12) 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 14310196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26042849280).

14310196992 is an abundant number, since it is smaller than the sum of its proper divisors (37775501568).

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

14310196992 is a wasteful number, since it uses less digits than its factorization.

14310196992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22796 (or 22776 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 14310196992 in words is "fourteen billion, three hundred ten million, one hundred ninety-six thousand, nine hundred ninety-two".