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12440421333 = 321382269037
BaseRepresentation
bin10111001011000000…
…11100001111010101
31012002222211212211200
423211200130033111
5200434221440313
65414241223113
7620166556644
oct134540341725
935088755750
1012440421333
11530432574a
1224b2331a99
131233489672
1486030535b
154cc26ab73
hex2e581c3d5

12440421333 has 6 divisors (see below), whose sum is σ = 17969497494. Its totient is φ = 8293614216.

The previous prime is 12440421319. The next prime is 12440421349. The reversal of 12440421333 is 33312404421.

12440421333 is a `hidden beast` number, since 1 + 2 + 440 + 4 + 213 + 3 + 3 = 666.

12440421333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7986460689 + 4453960644 = 89367^2 + 66738^2 .

It is not a de Polignac number, because 12440421333 - 29 = 12440420821 is a prime.

It is a super-2 number, since 2×124404213332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12440421297 and 12440421306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440426333) 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 5 ways as a sum of consecutive naturals, for example, 691134510 + ... + 691134527.

It is an arithmetic number, because the mean of its divisors is an integer number (2994916249).

Almost surely, 212440421333 is an apocalyptic number.

It is an amenable number.

12440421333 is a deficient number, since it is larger than the sum of its proper divisors (5529076161).

12440421333 is a wasteful number, since it uses less digits than its factorization.

12440421333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382269043 (or 1382269040 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12440421333 its reverse (33312404421), we get a palindrome (45752825754).

The spelling of 12440421333 in words is "twelve billion, four hundred forty million, four hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 1382269037 4146807111 12440421333