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11144124420041 = 374318793727769
BaseRepresentation
bin1010001000101011000110…
…0100111100111111001001
31110110100221012011210201102
42202022301210330333021
52430041131322420131
635411312354031145
72230064535430004
oct242126144747711
943410835153642
1011144124420041
113607218787958
1212bb9808784b5
1362ab6a61b482
142a754286453b
15144d3e52b1cb
hexa22b193cfc9

11144124420041 has 16 divisors (see below), whose sum is σ = 11717723107200. Its totient is φ = 10585131435648.

The previous prime is 11144124420029. The next prime is 11144124420097. The reversal of 11144124420041 is 14002442144111.

11144124420041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11144124420041 - 230 = 11143050678217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11144124419986 and 11144124420013.

It is not an unprimeable number, because it can be changed into a prime (11144124420001) 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, 1125605 + ... + 4853373.

It is an arithmetic number, because the mean of its divisors is an integer number (732357694200).

Almost surely, 211144124420041 is an apocalyptic number.

It is an amenable number.

11144124420041 is a deficient number, since it is larger than the sum of its proper divisors (573598687159).

11144124420041 is a wasteful number, since it uses less digits than its factorization.

11144124420041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729728.

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 11144124420041 its reverse (14002442144111), we get a palindrome (25146566564152).

The spelling of 11144124420041 in words is "eleven trillion, one hundred forty-four billion, one hundred twenty-four million, four hundred twenty thousand, forty-one".

Divisors: 1 37 43 1591 1879 69523 80797 2989489 3727769 137927453 160294067 5930880479 7004477951 259165684187 301192551893 11144124420041