Search a number
-
+
2442141333 = 34199151507
BaseRepresentation
bin1001000110010000…
…0001111010010101
320022012022122010000
42101210001322111
520000142010313
61042155321513
7114342600402
oct22144017225
96265278100
102442141333
111043585a25
12581a50299
132cbc52058
141924ad2a9
15e45ec673
hex91901e95

2442141333 has 20 divisors (see below), whose sum is σ = 3666493600. Its totient is φ = 1619902152.

The previous prime is 2442141329. The next prime is 2442141353. The reversal of 2442141333 is 3331412442.

2442141333 is a `hidden beast` number, since 244 + 2 + 1 + 413 + 3 + 3 = 666.

It is not a de Polignac number, because 2442141333 - 22 = 2442141329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2442141297 and 2442141306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442141353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59635 + ... + 91872.

It is an arithmetic number, because the mean of its divisors is an integer number (183324680).

Almost surely, 22442141333 is an apocalyptic number.

It is an amenable number.

2442141333 is a deficient number, since it is larger than the sum of its proper divisors (1224352267).

2442141333 is a wasteful number, since it uses less digits than its factorization.

2442141333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151718 (or 151709 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2442141333 is about 49418.0263972571. The cubic root of 2442141333 is about 1346.6568091119.

Adding to 2442141333 its reverse (3331412442), we get a palindrome (5773553775).

The spelling of 2442141333 in words is "two billion, four hundred forty-two million, one hundred forty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 27 81 199 597 1791 5373 16119 151507 454521 1363563 4090689 12272067 30149893 90449679 271349037 814047111 2442141333