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404022141001 = 41113293297629
BaseRepresentation
bin1011110000100011001…
…10001010000001001001
31102121211222221022012001
411320101212022001021
523104414132003001
6505334420351001
741122021351423
oct5702146120111
91377758838161
10404022141001
11146387a69476
1266376245461
132c139a1282b
14157aa43b813
15a799a94001
hex5e1198a049

404022141001 has 16 divisors (see below), whose sum is σ = 418965417360. Its totient is φ = 389345044480.

The previous prime is 404022140999. The next prime is 404022141071. The reversal of 404022141001 is 100141220404.

It can be written as a sum of positive squares in 8 ways, for example, as 83666141001 + 320356000000 = 289251^2 + 566000^2 .

It is a cyclic number.

It is not a de Polignac number, because 404022141001 - 21 = 404022140999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 404022141001.

It is not an unprimeable number, because it can be changed into a prime (404022141071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208655 + ... + 1506283.

It is an arithmetic number, because the mean of its divisors is an integer number (26185338585).

Almost surely, 2404022141001 is an apocalyptic number.

404022141001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

404022141001 is a deficient number, since it is larger than the sum of its proper divisors (14943276359).

404022141001 is a wasteful number, since it uses less digits than its factorization.

404022141001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298076.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 404022141001 its reverse (100141220404), we get a palindrome (504163361405).

The spelling of 404022141001 in words is "four hundred four billion, twenty-two million, one hundred forty-one thousand, one".

Divisors: 1 41 113 293 4633 12013 33109 297629 1357469 12202789 33632077 87205297 1378915157 3575417177 9854198561 404022141001