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14412996000 = 25325313223103
BaseRepresentation
bin11010110110001010…
…01101110110100000
31101012110121001120200
431123011031312200
5214004211333000
610342104305200
71020111305334
oct153305156640
941173531520
1014412996000
116126840247
122962a72200
131489050900
149aa2a17c4
15595512500
hex35b14dda0

14412996000 has 864 divisors, whose sum is σ = 58358506752. Its totient is φ = 3360614400.

The previous prime is 14412995999. The next prime is 14412996007. The reversal of 14412996000 is 69921441.

It is a happy number.

14412996000 is a `hidden beast` number, since 1 + 4 + 41 + 2 + 9 + 9 + 600 + 0 = 666.

14412996000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14412996007) 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 143 ways as a sum of consecutive naturals, for example, 139931949 + ... + 139932051.

It is an arithmetic number, because the mean of its divisors is an integer number (67544568).

Almost surely, 214412996000 is an apocalyptic number.

14412996000 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 14412996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29179253376).

14412996000 is an abundant number, since it is smaller than the sum of its proper divisors (43945510752).

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

14412996000 is a wasteful number, since it uses less digits than its factorization.

14412996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 14412996000 in words is "fourteen billion, four hundred twelve million, nine hundred ninety-six thousand".