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12344430033 = 3213321732797
BaseRepresentation
bin10110111111100100…
…10000110111010001
31011212022020000112100
423133302100313101
5200240133230113
65400531551013
7614622631635
oct133762206721
934768200470
1012344430033
115265121aa1
12248615b469
13121961a690
14851678dc5
154c3b08d73
hex2dfc90dd1

12344430033 has 24 divisors (see below), whose sum is σ = 19209001448. Its totient is φ = 7593979392.

The previous prime is 12344429947. The next prime is 12344430061. The reversal of 12344430033 is 33003444321.

12344430033 is a `hidden beast` number, since 12 + 344 + 4 + 300 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6232786704 + 6111643329 = 78948^2 + 78177^2 .

It is not a de Polignac number, because 12344430033 - 214 = 12344413649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12344429979 and 12344430006.

It is not an unprimeable number, because it can be changed into a prime (12344430083) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 359991 + ... + 392787.

Almost surely, 212344430033 is an apocalyptic number.

12344430033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12344430033 is a deficient number, since it is larger than the sum of its proper divisors (6864571415).

12344430033 is a wasteful number, since it uses less digits than its factorization.

12344430033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36033 (or 36030 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 12344430033 its reverse (33003444321), we get a palindrome (45347874354).

The spelling of 12344430033 in words is "twelve billion, three hundred forty-four million, four hundred thirty thousand, thirty-three".

Divisors: 1 3 9 13 39 117 3217 9651 28953 32797 41821 98391 125463 295173 376389 426361 1279083 3837249 105507949 316523847 949571541 1371603337 4114810011 12344430033