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42024333213 = 325937874149
BaseRepresentation
bin100111001000110110…
…000110111110011101
311000110202012022121200
4213020312012332131
51142031212130323
631150011150113
73015254636622
oct471066067635
9130422168550
1042024333213
11169057055a5
128189a45339
133c69599475
14206939c349
15115e5a4443
hex9c8d86f9d

42024333213 has 12 divisors (see below), whose sum is σ = 60804186300. Its totient is φ = 27968973696.

The previous prime is 42024333199. The next prime is 42024333257. The reversal of 42024333213 is 31233342024.

42024333213 is a `hidden beast` number, since 4 + 202 + 433 + 3 + 21 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21678734169 + 20345599044 = 147237^2 + 142638^2 .

It is not a de Polignac number, because 42024333213 - 226 = 41957224349 is a prime.

It is a super-3 number, since 3×420243332133 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42024333283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3931738 + ... + 3942411.

It is an arithmetic number, because the mean of its divisors is an integer number (5067015525).

Almost surely, 242024333213 is an apocalyptic number.

It is an amenable number.

42024333213 is a deficient number, since it is larger than the sum of its proper divisors (18779853087).

42024333213 is a wasteful number, since it uses less digits than its factorization.

42024333213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7874748 (or 7874745 counting only the distinct ones).

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

Adding to 42024333213 its reverse (31233342024), we get a palindrome (73257675237).

The spelling of 42024333213 in words is "forty-two billion, twenty-four million, three hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 593 1779 5337 7874149 23622447 70867341 4669370357 14008111071 42024333213