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14021068140 = 223351072271069
BaseRepresentation
bin11010000111011100…
…01000010101101100
31100012011010001122000
431003232020111230
5212203343140030
610235144052300
71004312053452
oct150356102554
940164101560
1014021068140
115a45589022
122873764090
131425aa7531
149701dc9d2
15570de5860
hex343b8856c

14021068140 has 192 divisors, whose sum is σ = 44264102400. Its totient is φ = 3684241152.

The previous prime is 14021068109. The next prime is 14021068163. The reversal of 14021068140 is 4186012041.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13115526 + ... + 13116594.

It is an arithmetic number, because the mean of its divisors is an integer number (230542200).

Almost surely, 214021068140 is an apocalyptic number.

14021068140 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 14021068140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22132051200).

14021068140 is an abundant number, since it is smaller than the sum of its proper divisors (30243034260).

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

14021068140 is a wasteful number, since it uses less digits than its factorization.

14021068140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 14021068140 in words is "fourteen billion, twenty-one million, sixty-eight thousand, one hundred forty".