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235156135041 = 34538812
BaseRepresentation
bin1101101100000001100…
…1011101110010000001
3211110222102202101110000
43123000121131302001
512323044432310131
6300010152030213
722663250111352
oct3330031356201
9743872671400
10235156135041
1190802564863
12396a9392369
13192379ac349
14b54b231d29
1561b4a96ce6
hex36c065dc81

235156135041 has 15 divisors (see below), whose sum is σ = 351289141203. Its totient is φ = 156767847120.

The previous prime is 235156135031. The next prime is 235156135051. The reversal of 235156135041 is 140531651532.

The square root of 235156135041 is 484929.

It is a perfect power (a square), and thus also a powerful number.

235156135041 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 561 + 3 + 50 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (235156135031) and next prime (235156135051).

It can be written as a sum of positive squares in only one way, i.e., 125939104641 + 109217030400 = 354879^2 + 330480^2 .

It is not a de Polignac number, because 235156135041 - 217 = 235156003969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 235156134987 and 235156135005.

It is not an unprimeable number, because it can be changed into a prime (235156135031) 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 14 ways as a sum of consecutive naturals, for example, 4337421 + ... + 4391301.

Almost surely, 2235156135041 is an apocalyptic number.

235156135041 is the 484929-th square number.

235156135041 is the 242465-th centered octagonal number.

It is an amenable number.

235156135041 is a deficient number, since it is larger than the sum of its proper divisors (116133006162).

235156135041 is an frugal number, since it uses more digits than its factorization.

235156135041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107774 (or 53884 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 235156135041 by its sum of digits (36), we get a square (8465620861476 = 29095742).

Adding to 235156135041 its reverse (140531651532), we get a palindrome (375687786573).

The spelling of 235156135041 in words is "two hundred thirty-five billion, one hundred fifty-six million, one hundred thirty-five thousand, forty-one".

Divisors: 1 3 9 27 81 53881 161643 484929 1454787 4364361 2903162161 8709486483 26128459449 78385378347 235156135041