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14020160000 = 2954711569
BaseRepresentation
bin11010000111010101…
…01010101000000000
31100012002101220220012
431003222222220000
5212203130110000
610235112404052
71004301252020
oct150352525000
940162356805
1014020160000
115a450187a0
1228733a6628
13142584a082
14970043a80
15570cb6735
hex343aaaa00

14020160000 has 400 divisors, whose sum is σ = 43719255360. Its totient is φ = 4362240000.

The previous prime is 14020159999. The next prime is 14020160003. The reversal of 14020160000 is 6102041.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (14020160003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24639716 + ... + 24640284.

Almost surely, 214020160000 is an apocalyptic number.

14020160000 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 14020160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21859627680).

14020160000 is an abundant number, since it is smaller than the sum of its proper divisors (29699095360).

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

14020160000 is an frugal number, since it uses more digits than its factorization.

14020160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 14020160000 its reverse (6102041), we get a palindrome (14026262041).

The spelling of 14020160000 in words is "fourteen billion, twenty million, one hundred sixty thousand".