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14011021020 = 22353141269683
BaseRepresentation
bin11010000110001111…
…10011011011011100
31100011110012121120110
431003013303123130
5212143310133040
610234144450020
71004130466533
oct150307633334
940143177513
1014011021020
115a3a946517
122870319910
13142399a3a9
1496cb4531a
155700ad980
hex3431f36dc

14011021020 has 192 divisors, whose sum is σ = 41699266560. Its totient is φ = 3509299200.

The previous prime is 14011021001. The next prime is 14011021027. The reversal of 14011021020 is 2012011041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14011020987 and 14011021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011021027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20513599 + ... + 20514281.

It is an arithmetic number, because the mean of its divisors is an integer number (217183680).

Almost surely, 214011021020 is an apocalyptic number.

14011021020 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 14011021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20849633280).

14011021020 is an abundant number, since it is smaller than the sum of its proper divisors (27688245540).

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

14011021020 is a wasteful number, since it uses less digits than its factorization.

14011021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 14011021020 its reverse (2012011041), we get a palindrome (16023032061).

The spelling of 14011021020 in words is "fourteen billion, eleven million, twenty-one thousand, twenty".