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1442124212441 = 11219627283259
BaseRepresentation
bin10100111111000101010…
…011010010100011011001
312002212101010010111122012
4110333011103102203121
5142111432244244231
63022300330435305
7206122116360023
oct24770523224331
95085333114565
101442124212441
11506668581600
121b35b0592b35
13a5cb7aa3b73
144db28d67013
15277a6392e2b
hex14fc54d28d9

1442124212441 has 12 divisors (see below), whose sum is σ = 1668573471600. Its totient is φ = 1242020850840.

The previous prime is 1442124212437. The next prime is 1442124212443.

It is a happy number.

1442124212441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1442124212441 - 22 = 1442124212437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1442124212398 and 1442124212407.

It is not an unprimeable number, because it can be changed into a prime (1442124212443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313639331 + ... + 313643928.

It is an arithmetic number, because the mean of its divisors is an integer number (139047789300).

Almost surely, 21442124212441 is an apocalyptic number.

1442124212441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1442124212441 is a deficient number, since it is larger than the sum of its proper divisors (226449259159).

1442124212441 is a wasteful number, since it uses less digits than its factorization.

1442124212441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627283300 (or 627283289 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The spelling of 1442124212441 in words is "one trillion, four hundred forty-two billion, one hundred twenty-four million, two hundred twelve thousand, four hundred forty-one".

Divisors: 1 11 19 121 209 2299 627283259 6900115849 11918381921 75901274339 131102201131 1442124212441