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14429581056 = 283811271
BaseRepresentation
bin11010111000001000…
…11110111100000000
31101020121210200000000
431130010132330000
5214022433043211
610343500000000
71020402262302
oct153404367400
941217720000
1014429581056
116135138900
122968530000
13148c609857
149ac57b972
15596bdb656
hex35c11ef00

14429581056 has 486 divisors, whose sum is σ = 48155319576. Its totient is φ = 4311014400.

The previous prime is 14429581043. The next prime is 14429581087. The reversal of 14429581056 is 65018592441.

14429581056 is a `hidden beast` number, since 1 + 44 + 29 + 581 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (486).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 203233501 + ... + 203233571.

Almost surely, 214429581056 is an apocalyptic number.

14429581056 is a gapful number since it is divisible by the number (16) 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 14429581056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24077659788).

14429581056 is an abundant number, since it is smaller than the sum of its proper divisors (33725738520).

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

14429581056 is an frugal number, since it uses more digits than its factorization.

14429581056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 14429581056 in words is "fourteen billion, four hundred twenty-nine million, five hundred eighty-one thousand, fifty-six".