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11144124420040 = 235278603110501
BaseRepresentation
bin1010001000101011000110…
…0100111100111111001000
31110110100221012011210201101
42202022301210330333020
52430041131322420130
635411312354031144
72230064535430003
oct242126144747710
943410835153641
1011144124420040
113607218787957
1212bb9808784b4
1362ab6a61b481
142a754286453a
15144d3e52b1ca
hexa22b193cfc8

11144124420040 has 16 divisors (see below), whose sum is σ = 25074279945180. Its totient is φ = 4457649768000.

The previous prime is 11144124420029. The next prime is 11144124420097. The reversal of 11144124420040 is 4002442144111.

It can be written as a sum of positive squares in 2 ways, for example, as 11112608939364 + 31515480676 = 3333558^2 + 177526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11144124419990 and 11144124420008.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139301555211 + ... + 139301555290.

Almost surely, 211144124420040 is an apocalyptic number.

11144124420040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144124420040 is an abundant number, since it is smaller than the sum of its proper divisors (13930155525140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11144124420040 is a wasteful number, since it uses less digits than its factorization.

11144124420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278603110512 (or 278603110508 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 11144124420040 its reverse (4002442144111), we get a palindrome (15146566564151).

The spelling of 11144124420040 in words is "eleven trillion, one hundred forty-four billion, one hundred twenty-four million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 278603110501 557206221002 1114412442004 1393015552505 2228824884008 2786031105010 5572062210020 11144124420040