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14200441020 = 223351729411301
BaseRepresentation
bin11010011100110100…
…11000100010111100
31100122122122010222000
431032122120202330
5213040303103040
610305032422300
71011620520453
oct151632304274
940578563860
1014200441020
116027862577
122903847990
131453cbbb2c
14989d71b9a
15581a28130
hex34e6988bc

14200441020 has 384 divisors, whose sum is σ = 49609324800. Its totient is φ = 3354624000.

The previous prime is 14200441007. The next prime is 14200441051. The reversal of 14200441020 is 2014400241.

14200441020 is a `hidden beast` number, since 1 + 4 + 200 + 441 + 0 + 20 = 666.

14200441020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14200440984 and 14200441002.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 10914370 + ... + 10915670.

It is an arithmetic number, because the mean of its divisors is an integer number (129190950).

Almost surely, 214200441020 is an apocalyptic number.

14200441020 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 14200441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24804662400).

14200441020 is an abundant number, since it is smaller than the sum of its proper divisors (35408883780).

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

14200441020 is a wasteful number, since it uses less digits than its factorization.

14200441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14200441020 its reverse (2014400241), we get a palindrome (16214841261).

The spelling of 14200441020 in words is "fourteen billion, two hundred million, four hundred forty-one thousand, twenty".