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22404100142241 = 325165948188011
BaseRepresentation
bin1010001100000010111000…
…11011100011010010100001
32221022210220021000112101200
411012001130123203102201
510414032044114022431
6115352145043351413
74501433326041306
oct506013433432241
987283807015350
1022404100142241
117158586502824
12261a093982569
13c6690b76b2bc
145765156510ad
1528cbae6b3ee6
hex14605c6e34a1

22404100142241 has 12 divisors (see below), whose sum is σ = 32362105098960. Its totient is φ = 14935777323480.

The previous prime is 22404100142219. The next prime is 22404100142243. The reversal of 22404100142241 is 14224100140422.

22404100142241 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 410 + 0 + 1 + 4 + 2 + 241 = 666.

It is not a de Polignac number, because 22404100142241 - 27 = 22404100142113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22404100142243) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23629075 + ... + 24558936.

It is an arithmetic number, because the mean of its divisors is an integer number (2696842091580).

Almost surely, 222404100142241 is an apocalyptic number.

It is an amenable number.

22404100142241 is a deficient number, since it is larger than the sum of its proper divisors (9958004956719).

22404100142241 is a wasteful number, since it uses less digits than its factorization.

22404100142241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48239676 (or 48239673 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 22404100142241 its reverse (14224100140422), we get a palindrome (36628200282663).

The spelling of 22404100142241 in words is "twenty-two trillion, four hundred four billion, one hundred million, one hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 51659 154977 464931 48188011 144564033 433692099 2489344460249 7468033380747 22404100142241