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181404474241 is a prime number
BaseRepresentation
bin1010100011110010001…
…1001001101110000001
3122100020101112002201011
42220330203021232001
510433004021133431
6215200331240521
716051241406124
oct2507443115601
9570211462634
10181404474241
116aa2a1074a1
122b1a7ba9141
131414c8cb6b3
148acc5543bb
154abab83cb1
hex2a3c8c9b81

181404474241 has 2 divisors, whose sum is σ = 181404474242. Its totient is φ = 181404474240.

The previous prime is 181404474197. The next prime is 181404474283. The reversal of 181404474241 is 142474404181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154342908225 + 27061566016 = 392865^2 + 164504^2 .

It is a cyclic number.

It is not a de Polignac number, because 181404474241 - 231 = 179256990593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 181404474194 and 181404474203.

It is not a weakly prime, because it can be changed into another prime (181404424241) 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 as a sum of consecutive naturals, namely, 90702237120 + 90702237121.

It is an arithmetic number, because the mean of its divisors is an integer number (90702237121).

Almost surely, 2181404474241 is an apocalyptic number.

It is an amenable number.

181404474241 is a deficient number, since it is larger than the sum of its proper divisors (1).

181404474241 is an equidigital number, since it uses as much as digits as its factorization.

181404474241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 114688, while the sum is 40.

The spelling of 181404474241 in words is "one hundred eighty-one billion, four hundred four million, four hundred seventy-four thousand, two hundred forty-one".