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42233323041 = 32713148134819
BaseRepresentation
bin100111010101010011…
…010101111000100001
311001000022110002202200
4213111103111320201
51142443212314131
631222434403413
73023403215460
oct472523257041
9131008402680
1042233323041
1116a02678768
128227a30569
133ca09805a0
1420890409d7
151172ad72e6
hex9d54d5e21

42233323041 has 48 divisors (see below), whose sum is σ = 75134317440. Its totient is φ = 22261236480.

The previous prime is 42233323039. The next prime is 42233323043. The reversal of 42233323041 is 14032333224.

42233323041 is a `hidden beast` number, since 4 + 2 + 23 + 332 + 304 + 1 = 666.

42233323041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42233323039) and next prime (42233323043).

It is not a de Polignac number, because 42233323041 - 21 = 42233323039 is a prime.

It is a super-2 number, since 2×422333230412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42233322996 and 42233323014.

It is not an unprimeable number, because it can be changed into a prime (42233323043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195530 + ... + 1230348.

It is an arithmetic number, because the mean of its divisors is an integer number (1565298280).

Almost surely, 242233323041 is an apocalyptic number.

It is an amenable number.

42233323041 is a deficient number, since it is larger than the sum of its proper divisors (32900994399).

42233323041 is a wasteful number, since it uses less digits than its factorization.

42233323041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36326 (or 36323 counting only the distinct ones).

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

Adding to 42233323041 its reverse (14032333224), we get a palindrome (56265656265).

The spelling of 42233323041 in words is "forty-two billion, two hundred thirty-three million, three hundred twenty-three thousand, forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1481 4443 10367 13329 19253 31101 34819 57759 93303 104457 134771 173277 243733 313371 404313 452647 731199 1212939 1357941 2193597 3168529 4073823 9505587 28516761 51566939 154700817 360968573 464102451 670370207 1082905719 2011110621 3248717157 4692591449 6033331863 14077774347 42233323041