Search a number
-
+
12424331214 = 232739455351
BaseRepresentation
bin10111001001000110…
…00011111111001110
31012001212120102100100
423210203003333032
5200421112044324
65412504311530
7616613033661
oct134443037716
935055512310
1012424331214
1152a6235a29
1224a8a725a6
131230044a99
1485c1176d8
154cab3d4c9
hex2e48c3fce

12424331214 has 24 divisors (see below), whose sum is σ = 27288145872. Its totient is φ = 4084711200.

The previous prime is 12424331209. The next prime is 12424331263. The reversal of 12424331214 is 41213342421.

12424331214 is a `hidden beast` number, since 12 + 4 + 2 + 433 + 1 + 214 = 666.

It is a super-2 number, since 2×124243312142 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4726362 + ... + 4728989.

It is an arithmetic number, because the mean of its divisors is an integer number (1137006078).

Almost surely, 212424331214 is an apocalyptic number.

12424331214 is an abundant number, since it is smaller than the sum of its proper divisors (14863814658).

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

12424331214 is a wasteful number, since it uses less digits than its factorization.

12424331214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9455432 (or 9455429 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12424331214 its reverse (41213342421), we get a palindrome (53637673635).

The spelling of 12424331214 in words is "twelve billion, four hundred twenty-four million, three hundred thirty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 9455351 18910702 28366053 56732106 85098159 170196318 690240623 1380481246 2070721869 4141443738 6212165607 12424331214