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14240414320 = 2451116182289
BaseRepresentation
bin11010100001100101…
…10111101001110000
31100202102212000000121
431100302313221300
5213131021224240
610313021300024
71012614344626
oct152062675160
940672760017
1014240414320
116048385060
122915104614
13145c376482
149913b9516
155852c204a
hex350cb7a70

14240414320 has 40 divisors (see below), whose sum is σ = 36118871280. Its totient is φ = 5178332160.

The previous prime is 14240414317. The next prime is 14240414323. The reversal of 14240414320 is 2341404241.

14240414320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14240414317) and next prime (14240414323).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×142404143202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14240414323) 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 7 ways as a sum of consecutive naturals, for example, 8090265 + ... + 8092024.

It is an arithmetic number, because the mean of its divisors is an integer number (902971782).

Almost surely, 214240414320 is an apocalyptic number.

14240414320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14240414320 is an abundant number, since it is smaller than the sum of its proper divisors (21878456960).

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

14240414320 is a wasteful number, since it uses less digits than its factorization.

14240414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16182313 (or 16182307 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14240414320 its reverse (2341404241), we get a palindrome (16581818561).

The spelling of 14240414320 in words is "fourteen billion, two hundred forty million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 16182289 32364578 64729156 80911445 129458312 161822890 178005179 258916624 323645780 356010358 647291560 712020716 890025895 1294583120 1424041432 1780051790 2848082864 3560103580 7120207160 14240414320