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41342033133 = 3243537327611
BaseRepresentation
bin100110100000001011…
…010101110011101101
310221201012022212212100
4212200023111303231
51134132030030013
630554155125313
72662331324562
oct464013256355
9127635285770
1041342033133
1116595555435
128019443839
133b8b1165cb
142002910869
15111e72b473
hex9a02d5ced

41342033133 has 48 divisors (see below), whose sum is σ = 63113079744. Its totient is φ = 26049703680.

The previous prime is 41342033107. The next prime is 41342033137. The reversal of 41342033133 is 33133024314.

41342033133 is a `hidden beast` number, since 4 + 1 + 342 + 0 + 3 + 313 + 3 = 666.

41342033133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41342033133 - 26 = 41342033069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41342033097 and 41342033106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41342033137) 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, 1483498 + ... + 1511108.

It is an arithmetic number, because the mean of its divisors is an integer number (1314855828).

Almost surely, 241342033133 is an apocalyptic number.

41342033133 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

41342033133 is a deficient number, since it is larger than the sum of its proper divisors (21771046611).

41342033133 is a wasteful number, since it uses less digits than its factorization.

41342033133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27786 (or 27783 counting only the distinct ones).

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

Adding to 41342033133 its reverse (33133024314), we get a palindrome (74475057447).

The spelling of 41342033133 in words is "forty-one billion, three hundred forty-two million, thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 43 53 73 129 159 219 387 477 657 2279 3139 3869 6837 9417 11607 20511 27611 28251 34821 82833 166367 248499 499101 1187273 1463383 1497303 2015603 3561819 4390149 6046809 10685457 13170447 18140427 62925469 86670929 106826959 188776407 260012787 320480877 566329221 780038361 961442631 4593559237 13780677711 41342033133