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20144342333241 = 34725075420089
BaseRepresentation
bin1001001010010001110000…
…10111100111011100111001
32122022210001212000202210000
410211020320113213130321
510120021103114130431
6110502103315143213
74146244403430600
oct445107027473471
978283055022700
1020144342333241
1164671930a3435
1223141375a4b09
13b317ac697a89
144d8dc4472a37
1524e001dee9e6
hex1252385e7739

20144342333241 has 30 divisors (see below), whose sum is σ = 35005172360730. Its totient is φ = 11511052759584.

The previous prime is 20144342333183. The next prime is 20144342333243. The reversal of 20144342333241 is 14233324344102.

20144342333241 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 43 + 42 + 333 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14508328640400 + 5636013692841 = 3808980^2 + 2374029^2 .

It is not a de Polignac number, because 20144342333241 - 29 = 20144342332729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20144342333196 and 20144342333205.

It is not an unprimeable number, because it can be changed into a prime (20144342333243) 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 29 ways as a sum of consecutive naturals, for example, 2537706076 + ... + 2537714013.

It is an arithmetic number, because the mean of its divisors is an integer number (1166839078691).

Almost surely, 220144342333241 is an apocalyptic number.

20144342333241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20144342333241 is a deficient number, since it is larger than the sum of its proper divisors (14860830027489).

20144342333241 is an equidigital number, since it uses as much as digits as its factorization.

20144342333241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075420115 (or 5075420099 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 20144342333241 its reverse (14233324344102), we get a palindrome (34377666677343).

The spelling of 20144342333241 in words is "twenty trillion, one hundred forty-four billion, three hundred forty-two million, three hundred thirty-three thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 5075420089 15226260267 35527940623 45678780801 106583821869 137036342403 248695584361 319751465607 411109027209 746086753083 959254396821 2238260259249 2877763190463 6714780777747 20144342333241