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2442444422311 = 294311527169919
BaseRepresentation
bin100011100010101101000…
…010000011110010100111
322122111101011002021111001
4203202231002003302213
5310004111233003221
65110013220254131
7341314023020365
oct43425502036247
98574334067431
102442444422311
11861920224953
12335441841347
131494244c52aa
1486301b24635
1543800cab391
hex238ad083ca7

2442444422311 has 16 divisors (see below), whose sum is σ = 2585665843200. Its totient is φ = 2303166444768.

The previous prime is 2442444422261. The next prime is 2442444422323. The reversal of 2442444422311 is 1132244442442.

It is a cyclic number.

It is not a de Polignac number, because 2442444422311 - 27 = 2442444422183 is a prime.

It is a super-2 number, since 2×24424444223112 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442444422371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14289210 + ... + 14459128.

It is an arithmetic number, because the mean of its divisors is an integer number (161604115200).

Almost surely, 22442444422311 is an apocalyptic number.

2442444422311 is a deficient number, since it is larger than the sum of its proper divisors (143221420889).

2442444422311 is a wasteful number, since it uses less digits than its factorization.

2442444422311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181518.

The product of its digits is 196608, while the sum is 37.

Adding to 2442444422311 its reverse (1132244442442), we get a palindrome (3574688864753).

The spelling of 2442444422311 in words is "two trillion, four hundred forty-two billion, four hundred forty-four million, four hundred twenty-two thousand, three hundred eleven".

Divisors: 1 29 43 1247 11527 169919 334283 495661 4927651 7306517 14374169 211888993 1958656313 56801033077 84222221459 2442444422311