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14414000040 = 23325117974567
BaseRepresentation
bin11010110110010010…
…00010111110101000
31101012112111001212100
431123021002332220
5214004441000130
610342142013400
71020122656506
oct153311027650
941175431770
1014414000040
116127366630
122963277260
13148931290b
149aa483676
1559565ec60
hex35b242fa8

14414000040 has 192 divisors, whose sum is σ = 51179506560. Its totient is φ = 3489154560.

The previous prime is 14414000021. The next prime is 14414000047. The reversal of 14414000040 is 4000041441.

14414000040 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 14413999977 and 14414000022.

It is not an unprimeable number, because it can be changed into a prime (14414000047) 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 47 ways as a sum of consecutive naturals, for example, 3153837 + ... + 3158403.

It is an arithmetic number, because the mean of its divisors is an integer number (266559930).

Almost surely, 214414000040 is an apocalyptic number.

14414000040 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 14414000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25589753280).

14414000040 is an abundant number, since it is smaller than the sum of its proper divisors (36765506520).

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

14414000040 is a wasteful number, since it uses less digits than its factorization.

14414000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14414000040 its reverse (4000041441), we get a palindrome (18414041481).

The spelling of 14414000040 in words is "fourteen billion, four hundred fourteen million, forty", and thus it is an aban number.