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434140131033 = 32723213026679
BaseRepresentation
bin1100101000101001100…
…01001010111011011001
31112111120222020201110100
412110110301022323121
524103104333143113
6531235145410013
743236253140510
oct6242461127331
91474528221410
10434140131033
11158132871124
1270180799909
1331c296799cb
14170263db677
15b45dc27d73
hex6514c4aed9

434140131033 has 36 divisors (see below), whose sum is σ = 749190420160. Its totient is φ = 237293966448.

The previous prime is 434140131023. The next prime is 434140131041. The reversal of 434140131033 is 330131041434.

434140131033 is a `hidden beast` number, since 4 + 341 + 4 + 0 + 1 + 310 + 3 + 3 = 666.

It is not a de Polignac number, because 434140131033 - 26 = 434140130969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434140130988 and 434140131006.

It is not an unprimeable number, because it can be changed into a prime (434140131023) 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 35 ways as a sum of consecutive naturals, for example, 6480013 + ... + 6546666.

Almost surely, 2434140131033 is an apocalyptic number.

It is an amenable number.

434140131033 is a deficient number, since it is larger than the sum of its proper divisors (315050289127).

434140131033 is a wasteful number, since it uses less digits than its factorization.

434140131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13026738 (or 13026712 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 434140131033 its reverse (330131041434), we get a palindrome (764271172467).

The spelling of 434140131033 in words is "four hundred thirty-four billion, one hundred forty million, one hundred thirty-one thousand, thirty-three".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 529 1449 1587 3703 4761 11109 33327 13026679 39080037 91186753 117240111 273560259 299613617 820680777 898840851 2097295319 2696522553 6291885957 6891113191 18875657871 20673339573 48237792337 62020018719 144713377011 434140131033