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14423451840 = 263357331157
BaseRepresentation
bin11010110111011010…
…00110100011000000
31101020012021021022000
431123231012203000
5214014400424330
610343120344000
71020266214000
oct153355064300
941205237260
1014423451840
116131731936
122966475000
13148b271ab5
149ab824000
155963ca560
hex35bb468c0

14423451840 has 896 divisors, whose sum is σ = 61642752000. Its totient is φ = 3170119680.

The previous prime is 14423451793. The next prime is 14423451857. The reversal of 14423451840 is 4815432441.

14423451840 is a `hidden beast` number, since 1 + 442 + 34 + 5 + 184 + 0 = 666.

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 = 14423451795 and 14423451804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91869042 + ... + 91869198.

Almost surely, 214423451840 is an apocalyptic number.

14423451840 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 14423451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30821376000).

14423451840 is an abundant number, since it is smaller than the sum of its proper divisors (47219300160).

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

14423451840 is a wasteful number, since it uses less digits than its factorization.

14423451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 14423451840 in words is "fourteen billion, four hundred twenty-three million, four hundred fifty-one thousand, eight hundred forty".