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14221059840 = 28355133517
BaseRepresentation
bin11010011111010010…
…00010011100000000
31100201002102200200000
431033221002130000
5213111042403330
610311050400000
71012261004601
oct151751023400
940632380600
1014221059840
116038465819
12290a730000
13145835ab10
1498c9bbda8
1558374c560
hex34fa42700

14221059840 has 432 divisors, whose sum is σ = 54966414048. Its totient is φ = 3499573248.

The previous prime is 14221059833. The next prime is 14221059857. The reversal of 14221059840 is 4895012241.

14221059840 is a `hidden beast` number, since 1 + 4 + 2 + 21 + 0 + 598 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14221059795 and 14221059804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4041762 + ... + 4045278.

Almost surely, 214221059840 is an apocalyptic number.

14221059840 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 14221059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27483207024).

14221059840 is an abundant number, since it is smaller than the sum of its proper divisors (40745354208).

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

14221059840 is an equidigital number, since it uses as much as digits as its factorization.

14221059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 14221059840 in words is "fourteen billion, two hundred twenty-one million, fifty-nine thousand, eight hundred forty".