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442240112131241 = 109106913729276449
BaseRepresentation
bin110010010001101110000110…
…0110010011111110010101001
32010222211202000210101001120012
41210203130030302133302221
5430431130222201144431
64204322145224341305
7162102536146651244
oct14443341462376251
92128752023331505
10442240112131241
11118a02a84138636
124172511a914835
1315c9c0a9a4b738
147b2c76dad025b
15361da30a3322b
hex192370cc9fca9

442240112131241 has 16 divisors (see below), whose sum is σ = 446749005450000. Its totient is φ = 437739493441536.

The previous prime is 442240112131231. The next prime is 442240112131247. The reversal of 442240112131241 is 142131211042244.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5011844851225 + 437228267280016 = 2238715^2 + 20910004^2 .

It is a cyclic number.

It is not a de Polignac number, because 442240112131241 - 218 = 442240111869097 is a prime.

It is a super-2 number, since 2×4422401121312412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442240112131198 and 442240112131207.

It is not an unprimeable number, because it can be changed into a prime (442240112131247) 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, 1599578585 + ... + 1599855033.

It is an arithmetic number, because the mean of its divisors is an integer number (27921812840625).

Almost surely, 2442240112131241 is an apocalyptic number.

It is an amenable number.

442240112131241 is a deficient number, since it is larger than the sum of its proper divisors (4508893318759).

442240112131241 is a wasteful number, since it uses less digits than its factorization.

442240112131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291356.

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 442240112131241 its reverse (142131211042244), we get a palindrome (584371323173485).

The spelling of 442240112131241 in words is "four hundred forty-two trillion, two hundred forty billion, one hundred twelve million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 109 1069 13729 116521 276449 1496461 14676301 30132941 295523981 1599716809 3795368321 32212113929 413695146989 4057248735149 442240112131241