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118041032041 = 79243492
BaseRepresentation
bin110110111101111001…
…0110011010101101001
3102021200111000201122121
41231323302303111221
53413222001011131
6130121032551241
711346111134362
oct1557362632551
9367614021577
10118041032041
11460740a3539
121aa63852521
13b1923a852a
1459db0ccb69
15310ceea911
hex1b7bcb3569

118041032041 has 9 divisors (see below), whose sum is σ = 119581632471. Its totient is φ = 116520043224.

The previous prime is 118041032033. The next prime is 118041032113. The reversal of 118041032041 is 140230140811.

The square root of 118041032041 is 343571.

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

It can be written as a sum of positive squares in only one way, i.e., 2644942041 + 115396090000 = 51429^2 + 339700^2 .

It is not a de Polignac number, because 118041032041 - 23 = 118041032033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 118041031997 and 118041032015.

It is not an unprimeable number, because it can be changed into a prime (118041035041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27139935 + ... + 27144283.

Almost surely, 2118041032041 is an apocalyptic number.

118041032041 is the 343571-st square number.

118041032041 is the 171786-th centered octagonal number.

It is an amenable number.

118041032041 is a deficient number, since it is larger than the sum of its proper divisors (1540600430).

118041032041 is an frugal number, since it uses more digits than its factorization.

118041032041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8856 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Multiplying 118041032041 by its sum of digits (25), we get a square (2951025801025 = 17178552).

Adding to 118041032041 its reverse (140230140811), we get a palindrome (258271172852).

The spelling of 118041032041 in words is "one hundred eighteen billion, forty-one million, thirty-two thousand, forty-one".

Divisors: 1 79 4349 6241 343571 18913801 27142109 1494190279 118041032041