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14410290048 = 273721169623
BaseRepresentation
bin11010110101110101…
…11001001110000000
31101012021111120201020
431122322321032000
5214003013240143
610341530305440
71020046305300
oct153272711600
941167446636
1014410290048
116125262220
122961b88280
13148861405b
149a9b99600
1559517a883
hex35aeb9380

14410290048 has 192 divisors, whose sum is σ = 48575272320. Its totient is φ = 3742878720.

The previous prime is 14410290029. The next prime is 14410290071. The reversal of 14410290048 is 84009201441.

14410290048 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 (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 172165 + ... + 241787.

It is an arithmetic number, because the mean of its divisors is an integer number (252996210).

Almost surely, 214410290048 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 14410290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24287636160).

14410290048 is an abundant number, since it is smaller than the sum of its proper divisors (34164982272).

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

14410290048 is a wasteful number, since it uses less digits than its factorization.

14410290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69665 (or 69646 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 14410290048 its reverse (84009201441), we get a palindrome (98419491489).

The spelling of 14410290048 in words is "fourteen billion, four hundred ten million, two hundred ninety thousand, forty-eight".