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14423404968 = 233772931131
BaseRepresentation
bin11010110111011001…
…11011000110101000
31101020012011220000000
431123230323012220
5214014342424333
610343115343000
71020265630230
oct153354730650
941205156000
1014423404968
1161316aa6a5
122966451a60
13148b25666b
149ab810cc0
155963bb713
hex35bb3b1a8

14423404968 has 512 divisors, whose sum is σ = 49876992000. Its totient is φ = 3821126400.

The previous prime is 14423404951. The next prime is 14423404987. The reversal of 14423404968 is 86940432441.

It is a super-2 number, since 2×144234049682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 110102263 + ... + 110102393.

It is an arithmetic number, because the mean of its divisors is an integer number (97416000).

Almost surely, 214423404968 is an apocalyptic number.

14423404968 is a gapful number since it is divisible by the number (18) 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 14423404968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24938496000).

14423404968 is an abundant number, since it is smaller than the sum of its proper divisors (35453587032).

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

14423404968 is a wasteful number, since it uses less digits than its factorization.

14423404968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 14423404968 in words is "fourteen billion, four hundred twenty-three million, four hundred four thousand, nine hundred sixty-eight".