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14124011200 = 265213679039
BaseRepresentation
bin11010010011101101…
…10100111011000000
31100110022211002221221
431021312310323000
5212411221324300
610253302324424
71010002054135
oct151166647300
940408732857
1014124011200
115a986aa732
1228a2129714
13144120b7a0
1497db5858c
15579e7c31a
hex349db4ec0

14124011200 has 84 divisors (see below), whose sum is σ = 37427326720. Its totient is φ = 5215011840.

The previous prime is 14124011141. The next prime is 14124011227. The reversal of 14124011200 is 211042141.

It is a happy number.

14124011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 318720 + ... + 360319.

Almost surely, 214124011200 is an apocalyptic number.

14124011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14124011200 is an abundant number, since it is smaller than the sum of its proper divisors (23303315520).

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

14124011200 is a wasteful number, since it uses less digits than its factorization.

14124011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679074 (or 679059 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 14124011200 its reverse (211042141), we get a palindrome (14335053341).

The spelling of 14124011200 in words is "fourteen billion, one hundred twenty-four million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 679039 1358078 2716156 3395195 5432312 6790390 8827507 10864624 13580780 16975975 17655014 21729248 27161560 33951950 35310028 43458496 44137535 54323120 67903900 70620056 88275070 108646240 135807800 141240112 176550140 217292480 220687675 271615600 282480224 353100280 441375350 543231200 564960448 706200560 882750700 1086462400 1412401120 1765501400 2824802240 3531002800 7062005600 14124011200