Search a number
-
+
12350321424 = 243876
BaseRepresentation
bin10111000000010001…
…01111001100010000
31011212201022100000000
423200020233030100
5200243140241144
65401302130000
7615024000000
oct134010571420
934781270000
1012350321424
115268486311
122488120900
13121a9010cc
14852370000
154c43be769
hex2e022f310

12350321424 has 315 divisors, whose sum is σ = 41873130247. Its totient is φ = 3528663264.

The previous prime is 12350321413. The next prime is 12350321429. The reversal of 12350321424 is 42412305321.

The square root of 12350321424 is 111132.

It is a perfect power (a square), and thus also a powerful number.

12350321424 is a `hidden beast` number, since 1 + 235 + 0 + 3 + 2 + 1 + 424 = 666.

It is a super-2 number, since 2×123503214242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12350321429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1764331629 + ... + 1764331635.

Almost surely, 212350321424 is an apocalyptic number.

12350321424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12350321424 is the 111132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12350321424

12350321424 is an abundant number, since it is smaller than the sum of its proper divisors (29522808823).

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

12350321424 is an frugal number, since it uses more digits than its factorization.

12350321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12350321424 its reverse (42412305321), we get a palindrome (54762626745).

The spelling of 12350321424 in words is "twelve billion, three hundred fifty million, three hundred twenty-one thousand, four hundred twenty-four".