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20144342205 = 3251334434773
BaseRepresentation
bin10010110000101100…
…100100010010111101
31220222220010121112100
4102300230210102331
5312223422422310
613130523055313
71312124040441
oct226054442275
956886117470
1020144342205
1185a7a574a9
123aa2371539
131b90575520
14d9153a821
157cd77dec0
hex4b0b244bd

20144342205 has 24 divisors (see below), whose sum is σ = 37602773208. Its totient is φ = 9917214336.

The previous prime is 20144342201. The next prime is 20144342227. The reversal of 20144342205 is 50224344102.

20144342205 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 434 + 220 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3421197081 + 16723145124 = 58491^2 + 129318^2 .

It is not a de Polignac number, because 20144342205 - 22 = 20144342201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20144342201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17216802 + ... + 17217971.

It is an arithmetic number, because the mean of its divisors is an integer number (1566782217).

Almost surely, 220144342205 is an apocalyptic number.

It is an amenable number.

20144342205 is a deficient number, since it is larger than the sum of its proper divisors (17458431003).

20144342205 is a wasteful number, since it uses less digits than its factorization.

20144342205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34434797 (or 34434794 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20144342205 its reverse (50224344102), we get a palindrome (70368686307).

The spelling of 20144342205 in words is "twenty billion, one hundred forty-four million, three hundred forty-two thousand, two hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 34434773 103304319 172173865 309912957 447652049 516521595 1342956147 1549564785 2238260245 4028868441 6714780735 20144342205