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2442333441 = 31762697639
BaseRepresentation
bin1001000110010011…
…0000110100000001
320022012200101122010
42101210300310001
520000214132231
61042203403133
7114344330442
oct22144606401
96265611563
102442333441
1110436a7299
12581b234a9
132cbcbb622
1419251d2c9
15e4639546
hex91930d01

2442333441 has 16 divisors (see below), whose sum is σ = 3449001600. Its totient is φ = 1531999488.

The previous prime is 2442333409. The next prime is 2442333463. The reversal of 2442333441 is 1443332442.

It is a happy number.

It is not a de Polignac number, because 2442333441 - 25 = 2442333409 is a prime.

It is a super-4 number, since 4×24423334414 (a number of 39 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2442333399 and 2442333408.

It is not an unprimeable number, because it can be changed into a prime (2442333401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315900 + ... + 323538.

It is an arithmetic number, because the mean of its divisors is an integer number (215562600).

Almost surely, 22442333441 is an apocalyptic number.

It is an amenable number.

2442333441 is a deficient number, since it is larger than the sum of its proper divisors (1006668159).

2442333441 is a wasteful number, since it uses less digits than its factorization.

2442333441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13928.

The product of its digits is 27648, while the sum is 30.

The square root of 2442333441 is about 49419.9700627186. The cubic root of 2442333441 is about 1346.6921192117.

Adding to 2442333441 its reverse (1443332442), we get a palindrome (3885665883).

Subtracting from 2442333441 its reverse (1443332442), we obtain a palindrome (999000999).

The spelling of 2442333441 in words is "two billion, four hundred forty-two million, three hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 17 51 6269 7639 18807 22917 106573 129863 319719 389589 47888891 143666673 814111147 2442333441