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14224032240 = 2435115387891
BaseRepresentation
bin11010011111101000…
…11000000111110000
31100201022000201000220
431033310120013300
5213112323012430
610311234213040
71012325164515
oct151764300760
940638021026
1014224032240
11603a105a50
12290b724180
131458b5ba32
1498d15330c
15583b38110
hex34fd181f0

14224032240 has 80 divisors (see below), whose sum is σ = 48103099776. Its totient is φ = 3448249600.

The previous prime is 14224032233. The next prime is 14224032313. The reversal of 14224032240 is 4223042241.

14224032240 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14224032240.

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 15 ways as a sum of consecutive naturals, for example, 2691306 + ... + 2696585.

Almost surely, 214224032240 is an apocalyptic number.

14224032240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14224032240 is an abundant number, since it is smaller than the sum of its proper divisors (33879067536).

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

14224032240 is a wasteful number, since it uses less digits than its factorization.

14224032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387918 (or 5387912 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14224032240 its reverse (4223042241), we get a palindrome (18447074481).

The spelling of 14224032240 in words is "fourteen billion, two hundred twenty-four million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5387891 10775782 16163673 21551564 26939455 32327346 43103128 53878910 59266801 64654692 80818365 86206256 107757820 118533602 129309384 161636730 177800403 215515640 237067204 258618768 296334005 323273460 355600806 431031280 474134408 592668010 646546920 711201612 889002015 948268816 1185336020 1293093840 1422403224 1778004030 2370672040 2844806448 3556008060 4741344080 7112016120 14224032240