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14454150000 = 24355173557
BaseRepresentation
bin11010111011000100…
…01101001101110000
31101022100000220020220
431131202031031300
5214100230300000
610350134333040
71021121151003
oct153542151560
941270026226
1014454150000
116147a99914
1229747ba180
13149472c7a4
149b193553a
15598e411a0
hex35d88d370

14454150000 has 240 divisors, whose sum is σ = 47025927648. Its totient is φ = 3825280000.

The previous prime is 14454149981. The next prime is 14454150001. The reversal of 14454150000 is 5145441.

It is a happy number.

14454150000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14454150001) 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, 25949722 + ... + 25950278.

Almost surely, 214454150000 is an apocalyptic number.

14454150000 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 14454150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23512963824).

14454150000 is an abundant number, since it is smaller than the sum of its proper divisors (32571777648).

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

14454150000 is an equidigital number, since it uses as much as digits as its factorization.

14454150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 14454150000 its reverse (5145441), we get a palindrome (14459295441).

The spelling of 14454150000 in words is "fourteen billion, four hundred fifty-four million, one hundred fifty thousand".