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230042011440033 = 3413218463448661
BaseRepresentation
bin110100010011100011010100…
…011000000001001110100001
31010011111210122022021002120000
4310103203110120001032201
5220123002014412040113
62133131501403410213
766311662331244342
oct6423432430011641
91104453568232500
10230042011440033
11673312a6303081
1221973824223969
139b48b3a401b90
1440b41427740c9
151b8ddc2222373
hexd138d46013a1

230042011440033 has 20 divisors (see below), whose sum is σ = 370077082033428. Its totient is φ = 141564314731680.

The previous prime is 230042011440029. The next prime is 230042011440037. The reversal of 230042011440033 is 330044110240032.

230042011440033 is a `hidden beast` number, since 23 + 0 + 0 + 4 + 201 + 1 + 4 + 400 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (230042011440029) and next prime (230042011440037).

It can be written as a sum of positive squares in 2 ways, for example, as 9136304207424 + 220905707232609 = 3022632^2 + 14862897^2 .

It is not a de Polignac number, because 230042011440033 - 22 = 230042011440029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 230042011439979 and 230042011440006.

It is not an unprimeable number, because it can be changed into a prime (230042011440037) 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 19 ways as a sum of consecutive naturals, for example, 109231723278 + ... + 109231725383.

Almost surely, 2230042011440033 is an apocalyptic number.

It is an amenable number.

230042011440033 is a deficient number, since it is larger than the sum of its proper divisors (140035070593395).

230042011440033 is a wasteful number, since it uses less digits than its factorization.

230042011440033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218463448686 (or 218463448677 counting only the distinct ones).

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

Adding to 230042011440033 its reverse (330044110240032), we get a palindrome (560086121680065).

The spelling of 230042011440033 in words is "two hundred thirty trillion, forty-two billion, eleven million, four hundred forty thousand, thirty-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 218463448661 655390345983 1966171037949 2840024832593 5898513113847 8520074497779 17695539341541 25560223493337 76680670480011 230042011440033