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12143344224 = 2531123499973
BaseRepresentation
bin10110100111100110…
…01011101001100000
31011100021211210122210
423103303023221200
5144332144003344
65324550002120
7606631502634
oct132363135140
934307753583
1012143344224
115171668280
12242a946340
1311b6a730ab
14832a92dc4
154b1137db9
hex2d3ccba60

12143344224 has 96 divisors (see below), whose sum is σ = 36286113024. Its totient is φ = 3519802880.

The previous prime is 12143344223. The next prime is 12143344229. The reversal of 12143344224 is 42244334121.

12143344224 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 (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12143344191 and 12143344200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12143344223) 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 15 ways as a sum of consecutive naturals, for example, 225699 + ... + 274274.

It is an arithmetic number, because the mean of its divisors is an integer number (377980344).

Almost surely, 212143344224 is an apocalyptic number.

It is an amenable number.

12143344224 is an abundant number, since it is smaller than the sum of its proper divisors (24142768800).

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

12143344224 is a wasteful number, since it uses less digits than its factorization.

12143344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500020 (or 500012 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 12143344224 its reverse (42244334121), we get a palindrome (54387678345).

The spelling of 12143344224 in words is "twelve billion, one hundred forty-three million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 24288 499973 999946 1499919 1999892 2999838 3999784 5499703 5999676 7999568 10999406 11499379 11999352 15999136 16499109 21998812 22998758 23998704 32998218 34498137 43997624 45997516 47997408 65996436 68996274 87995248 91995032 126493169 131992872 137992548 175990496 183990064 252986338 263985744 275985096 367980128 379479507 505972676 527971488 551970192 758959014 1011945352 1103940384 1517918028 2023890704 3035836056 4047781408 6071672112 12143344224