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4033140032133 = 321924349285433
BaseRepresentation
bin111010101100001001111…
…000010000001010000101
3112021120020110111202121200
4322230021320100022011
51012034332322012013
612324444323533113
7564245653430442
oct72541170201205
915246213452550
104033140032133
11131549944a283
1255179652a199
13233428893bc4
14dd2c28029c9
156eda05d8e73
hex3ab09e10285

4033140032133 has 36 divisors (see below), whose sum is σ = 6149832518700. Its totient is φ = 2546651705472.

The previous prime is 4033140032107. The next prime is 4033140032137. The reversal of 4033140032133 is 3312300413304.

4033140032133 is a `hidden beast` number, since 4 + 0 + 331 + 4 + 0 + 0 + 321 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51750335169 + 3981389696964 = 227487^2 + 1995342^2 .

It is not a de Polignac number, because 4033140032133 - 25 = 4033140032101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4033140032097 and 4033140032106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033140032137) 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 35 ways as a sum of consecutive naturals, for example, 13987185 + ... + 14272617.

It is an arithmetic number, because the mean of its divisors is an integer number (170828681075).

Almost surely, 24033140032133 is an apocalyptic number.

It is an amenable number.

4033140032133 is a deficient number, since it is larger than the sum of its proper divisors (2116692486567).

4033140032133 is a wasteful number, since it uses less digits than its factorization.

4033140032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289826 (or 289804 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 4033140032133 its reverse (3312300413304), we get a palindrome (7345440445437).

The spelling of 4033140032133 in words is "four trillion, thirty-three billion, one hundred forty million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 19 57 171 361 1083 3249 4349 13047 39141 82631 247893 285433 743679 856299 1569989 2568897 4709967 5423227 14129901 16269681 48809043 103041313 309123939 927371817 1241348117 3724044351 11172133053 23585614223 70756842669 212270528007 448126670237 1344380010711 4033140032133