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14423523840 = 293251156911
BaseRepresentation
bin11010110111011010…
…11000001000000000
31101020012101221001200
431123231120020000
5214014410230330
610343122101200
71020266633625
oct153355301000
941205357050
1014423523840
116131780a40
1229664aa800
13148b2987bb
149ab84234c
155963e1a60
hex35bb58200

14423523840 has 240 divisors, whose sum is σ = 54494833536. Its totient is φ = 3496550400.

The previous prime is 14423523823. The next prime is 14423523869. The reversal of 14423523840 is 4832532441.

14423523840 = 161672 + 161682 + ... + 162212.

14423523840 is a `hidden beast` number, since 1 + 44 + 235 + 2 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 14423523795 and 14423523804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224985 + ... + 281895.

Almost surely, 214423523840 is an apocalyptic number.

14423523840 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 14423523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27247416768).

14423523840 is an abundant number, since it is smaller than the sum of its proper divisors (40071309696).

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

14423523840 is a wasteful number, since it uses less digits than its factorization.

14423523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56951 (or 56932 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 14423523840 in words is "fourteen billion, four hundred twenty-three million, five hundred twenty-three thousand, eight hundred forty".