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14016097920000 = 21035411260331
BaseRepresentation
bin1100101111110110000010…
…0010011010010000000000
31211121220222222000000112210
43023331200202122100000
53314114432031420000
645450523445222120
72644425654410661
oct313754042322000
954556888000483
1014016097920000
114514214971200
1216a44b6a01940
137a89350a2cb7
1436655040d368
151948ce2d7350
hexcbf6089a400

14016097920000 has 660 divisors, whose sum is σ = 51313097465168. Its totient is φ = 3397785600000.

The previous prime is 14016097919947. The next prime is 14016097920031. The reversal of 14016097920000 is 2979061041.

It is a tau number, because it is divible by the number of its divisors (660).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232289835 + ... + 232350165.

Almost surely, 214016097920000 is an apocalyptic number.

14016097920000 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 14016097920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25656548732584).

14016097920000 is an abundant number, since it is smaller than the sum of its proper divisors (37296999545168).

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

14016097920000 is an equidigital number, since it uses as much as digits as its factorization.

14016097920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60396 (or 60352 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The spelling of 14016097920000 in words is "fourteen trillion, sixteen billion, ninety-seven million, nine hundred twenty thousand".