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20004122342241 = 344750910323307
BaseRepresentation
bin1001000110001100100101…
…00110110011001101100001
32121211101010200101012010000
410203012102212303031201
510110221420304422431
6110313433354130213
74133151541243242
oct443062246631541
977741120335100
1020004122342241
116412778612854
1222b0b24120969
13b214c436c4bb
144d22c193acc9
1524a546c259e6
hex1231929b3361

20004122342241 has 40 divisors (see below), whose sum is σ = 30578464160640. Its totient is φ = 13026690788832.

The previous prime is 20004122342227. The next prime is 20004122342287. The reversal of 20004122342241 is 14224322140002.

It is a happy number.

20004122342241 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 412 + 2 + 3 + 4 + 2 + 241 = 666.

It is not a de Polignac number, because 20004122342241 - 215 = 20004122309473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20004122342041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3223891 + ... + 7099416.

It is an arithmetic number, because the mean of its divisors is an integer number (764461604016).

Almost surely, 220004122342241 is an apocalyptic number.

It is an amenable number.

20004122342241 is a deficient number, since it is larger than the sum of its proper divisors (10574341818399).

20004122342241 is a wasteful number, since it uses less digits than its factorization.

20004122342241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10323875 (or 10323866 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20004122342241 its reverse (14224322140002), we get a palindrome (34228444482243).

The spelling of 20004122342241 in words is "twenty trillion, four billion, one hundred twenty-two million, three hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 27 47 81 141 423 509 1269 1527 3807 4581 13743 23923 41229 71769 215307 645921 1937763 10323307 30969921 92909763 278729289 485195429 836187867 1455586287 4366758861 5254563263 13100276583 15763689789 39300829749 47291069367 141873208101 246964473361 425619624303 740893420083 2222680260249 6668040780747 20004122342241