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20144404424205 = 3253135340907743
BaseRepresentation
bin1001001010010001111000…
…00100011110011000001101
32122022210020011212022120100
410211020330010132120031
510120021220013033310
6110502113414041313
74146246056254035
oct445107404363015
978283204768510
1020144404424205
116467215152286
122314154349239
13b317bc4c76a9
144d8dcc7d68c5
1524e0075b6ec0
hex12523c11e60d

20144404424205 has 48 divisors (see below), whose sum is σ = 36145428074496. Its totient is φ = 10367658132480.

The previous prime is 20144404424171. The next prime is 20144404424233. The reversal of 20144404424205 is 50242440444102.

20144404424205 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 4 + 4 + 0 + 442 + 4 + 205 = 666.

It is not a de Polignac number, because 20144404424205 - 26 = 20144404424141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20144404424205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19961437 + ... + 20946306.

It is an arithmetic number, because the mean of its divisors is an integer number (753029751552).

Almost surely, 220144404424205 is an apocalyptic number.

It is an amenable number.

20144404424205 is a deficient number, since it is larger than the sum of its proper divisors (16001023650291).

20144404424205 is a wasteful number, since it uses less digits than its factorization.

20144404424205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40908138 (or 40908135 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 36.

Adding to 20144404424205 its reverse (50242440444102), we get a palindrome (70386844868307).

The spelling of 20144404424205 in words is "twenty trillion, one hundred forty-four billion, four hundred four million, four hundred twenty-four thousand, two hundred five".

Divisors: 1 3 5 9 15 31 45 93 155 279 353 465 1059 1395 1765 3177 5295 10943 15885 32829 54715 98487 164145 492435 40907743 122723229 204538715 368169687 613616145 1268140033 1840848435 3804420099 6340700165 11413260297 14440433279 19022100495 43321299837 57066301485 72202166395 129963899511 216606499185 447653431649 649819497555 1342960294947 2238267158245 4028880884841 6714801474735 20144404424205