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14042114424 = 233313471031033
BaseRepresentation
bin11010001001111100…
…11010100101111000
31100020121201022201000
431010332122211320
5212224240130144
610241215125000
71004656001052
oct150476324570
940217638630
1014042114424
115a56453448
12287a813760
13142a265c60
14972d1a8d2
15572ba1769
hex344f9a978

14042114424 has 256 divisors, whose sum is σ = 43358515200. Its totient is φ = 4183612416.

The previous prime is 14042114413. The next prime is 14042114431. The reversal of 14042114424 is 42441124041.

It is a happy number.

14042114424 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 211 + 442 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13593012 + ... + 13594044.

It is an arithmetic number, because the mean of its divisors is an integer number (169369200).

Almost surely, 214042114424 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 14042114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21679257600).

14042114424 is an abundant number, since it is smaller than the sum of its proper divisors (29316400776).

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

14042114424 is a wasteful number, since it uses less digits than its factorization.

14042114424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14042114424 its reverse (42441124041), we get a palindrome (56483238465).

The spelling of 14042114424 in words is "fourteen billion, forty-two million, one hundred fourteen thousand, four hundred twenty-four".