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14140140192 = 2534231132099
BaseRepresentation
bin11010010101101000…
…10110101010100000
31100111110011112210000
431022310112222200
5212424333441232
610255040140000
71010256131343
oct151264265240
940443145700
1014140140192
115aa6816682
1228a7607600
131444667c79
14981d5645a
1557b5b627c
hex34ad16aa0

14140140192 has 240 divisors, whose sum is σ = 43798708800. Its totient is φ = 4466423808.

The previous prime is 14140140191. The next prime is 14140140227. The reversal of 14140140192 is 29104104141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14140140191) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6735559 + ... + 6737657.

It is an arithmetic number, because the mean of its divisors is an integer number (182494620).

Almost surely, 214140140192 is an apocalyptic number.

14140140192 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 14140140192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21899354400).

14140140192 is an abundant number, since it is smaller than the sum of its proper divisors (29658568608).

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

14140140192 is a wasteful number, since it uses less digits than its factorization.

14140140192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 14140140192 in words is "fourteen billion, one hundred forty million, one hundred forty thousand, one hundred ninety-two".