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2442146412442 = 211266115267041
BaseRepresentation
bin100011100010011011010…
…001001111011110011010
322122110121101022210210111
4203202123101033132122
5310003003440144232
65105523453034534
7341303444000062
oct43423321173632
98573541283714
102442146412442
11861787a8a700
12335379a85a4a
131493a78432a9
14862b430c3a2
15437d4a42047
hex2389b44f79a

2442146412442 has 24 divisors (see below), whose sum is σ = 4032605939796. Its totient is φ = 1108387104000.

The previous prime is 2442146412439. The next prime is 2442146412443.

2442146412442 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2423753899281 + 18392513161 = 1556841^2 + 135619^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2442146412395 and 2442146412404.

It is not an unprimeable number, because it can be changed into a prime (2442146412443) 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, 7473559 + ... + 7793482.

Almost surely, 22442146412442 is an apocalyptic number.

2442146412442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2442146412442 is a deficient number, since it is larger than the sum of its proper divisors (1590459527354).

2442146412442 is a wasteful number, since it uses less digits than its factorization.

2442146412442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15267726 (or 15267715 counting only the distinct ones).

The product of its digits is 393216, while the sum is 40.

The spelling of 2442146412442 in words is "two trillion, four hundred forty-two billion, one hundred forty-six million, four hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 11 22 121 242 661 1322 7271 14542 79981 159962 15267041 30534082 167937451 335874902 1847311961 3694623922 10091514101 20183028202 111006655111 222013310222 1221073206221 2442146412442