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14042340312 = 23371113599907
BaseRepresentation
bin11010001001111110…
…10001101111011000
31100020122010210120020
431010333101233120
5212224314342222
610241224030440
71004660631450
oct150477215730
940218123506
1014042340312
115a56598130
12287a902420
13142a314a10
14972d78d60
15572be865c
hex344fd1bd8

14042340312 has 256 divisors, whose sum is σ = 47938867200. Its totient is φ = 3309396480.

The previous prime is 14042340293. The next prime is 14042340313. The reversal of 14042340312 is 21304324041.

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 (14042340313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1412463 + ... + 1422369.

It is an arithmetic number, because the mean of its divisors is an integer number (187261200).

Almost surely, 214042340312 is an apocalyptic number.

14042340312 is a gapful number since it is divisible by the number (12) 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 14042340312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23969433600).

14042340312 is an abundant number, since it is smaller than the sum of its proper divisors (33896526888).

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

14042340312 is a wasteful number, since it uses less digits than its factorization.

14042340312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006 (or 10002 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14042340312 its reverse (21304324041), we get a palindrome (35346664353).

The spelling of 14042340312 in words is "fourteen billion, forty-two million, three hundred forty thousand, three hundred twelve".