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20444104404441 = 325393421206593
BaseRepresentation
bin1001010011000000000111…
…00101001010110111011001
32200101102210210020202120100
410221200003211022313121
510134424011211420231
6111251520352450013
74210015652125254
oct451400345126731
980342723222510
1020444104404441
116572328a61263
122362255249909
13b53b4211c4c3
145096ddb5c09b
15256be87611e6
hex12980394add9

20444104404441 has 12 divisors (see below), whose sum is σ = 29535848784468. Its totient is φ = 13626875664384.

The previous prime is 20444104404439. The next prime is 20444104404497. The reversal of 20444104404441 is 14440440144402.

20444104404441 is a `hidden beast` number, since 204 + 4 + 4 + 1 + 0 + 4 + 4 + 0 + 4 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11548470076416 + 8895634328025 = 3398304^2 + 2982555^2 .

It is not a de Polignac number, because 20444104404441 - 21 = 20444104404439 is a prime.

It is a super-2 number, since 2×204441044044412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20444104404396 and 20444104404405.

It is not an unprimeable number, because it can be changed into a prime (20444104404641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210554760 + ... + 210651833.

It is an arithmetic number, because the mean of its divisors is an integer number (2461320732039).

Almost surely, 220444104404441 is an apocalyptic number.

It is an amenable number.

20444104404441 is a deficient number, since it is larger than the sum of its proper divisors (9091744380027).

20444104404441 is a wasteful number, since it uses less digits than its factorization.

20444104404441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421211992 (or 421211989 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 20444104404441 its reverse (14440440144402), we get a palindrome (34884544548843).

The spelling of 20444104404441 in words is "twenty trillion, four hundred forty-four billion, one hundred four million, four hundred four thousand, four hundred forty-one".

Divisors: 1 3 9 5393 16179 48537 421206593 1263619779 3790859337 2271567156049 6814701468147 20444104404441