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14042040224 = 252319796847
BaseRepresentation
bin11010001001111100…
…01000011110100000
31100020121120112220212
431010332020132200
5212224230241344
610241213353252
71004655241532
oct150476103640
940217515825
1014042040224
115a56402723
12287a798828
13142a23b254
14972cdb852
15572b8979e
hex344f887a0

14042040224 has 48 divisors (see below), whose sum is σ = 28993966848. Its totient is φ = 6681599232.

The previous prime is 14042040223. The next prime is 14042040251. The reversal of 14042040224 is 42204024041.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 14042040224.

It is not an unprimeable number, because it can be changed into a prime (14042040223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96569 + ... + 193415.

It is an arithmetic number, because the mean of its divisors is an integer number (604040976).

Almost surely, 214042040224 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 14042040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496983424).

14042040224 is an abundant number, since it is smaller than the sum of its proper divisors (14951926624).

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

14042040224 is a wasteful number, since it uses less digits than its factorization.

14042040224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97077 (or 97069 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 14042040224 its reverse (42204024041), we get a palindrome (56246064265).

The spelling of 14042040224 in words is "fourteen billion, forty-two million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 197 368 394 736 788 1576 3152 4531 6304 9062 18124 36248 72496 96847 144992 193694 387388 774776 1549552 2227481 3099104 4454962 8909924 17819848 19078859 35639696 38157718 71279392 76315436 152630872 305261744 438813757 610523488 877627514 1755255028 3510510056 7021020112 14042040224