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14427445824 = 26321117912721
BaseRepresentation
bin11010110111111000…
…10101101001000000
31101020110210012000100
431123330111221000
5214021411231244
610343342122400
71020345160161
oct153374255100
941213705010
1014427445824
116133a0a650
122967880400
13148c03c9bc
149ac183768
15596918b69
hex35bf15a40

14427445824 has 168 divisors, whose sum is σ = 45368687520. Its totient is φ = 4347187200.

The previous prime is 14427445817. The next prime is 14427445829. The reversal of 14427445824 is 42854472441.

14427445824 is a `hidden beast` number, since 1 + 4 + 4 + 27 + 44 + 582 + 4 = 666.

14427445824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14427445824.

It is not an unprimeable number, because it can be changed into a prime (14427445829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1127784 + ... + 1140504.

Almost surely, 214427445824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14427445824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22684343760).

14427445824 is an abundant number, since it is smaller than the sum of its proper divisors (30941241696).

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

14427445824 is a wasteful number, since it uses less digits than its factorization.

14427445824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12929 (or 12916 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 45.

The spelling of 14427445824 in words is "fourteen billion, four hundred twenty-seven million, four hundred forty-five thousand, eight hundred twenty-four".