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2442142044 = 22321731912053
BaseRepresentation
bin1001000110010000…
…0010000101011100
320022012022200002100
42101210002011130
520000142021134
61042155325100
7114342602436
oct22144020534
96265280070
102442142044
111043586511
12581a50790
132cbc52484
141924ad656
15e45ec999
hex9190215c

2442142044 has 72 divisors (see below), whose sum is σ = 6244422912. Its totient is φ = 804712320.

The previous prime is 2442142039. The next prime is 2442142049. The reversal of 2442142044 is 4402412442.

2442142044 is a `hidden beast` number, since 2 + 442 + 14 + 204 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2442142039) and next prime (2442142049).

It is a junction number, because it is equal to n+sod(n) for n = 2442141999 and 2442142017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442142049) 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 23 ways as a sum of consecutive naturals, for example, 1188522 + ... + 1190574.

It is an arithmetic number, because the mean of its divisors is an integer number (86728096).

Almost surely, 22442142044 is an apocalyptic number.

It is an amenable number.

2442142044 is an abundant number, since it is smaller than the sum of its proper divisors (3802280868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2442142044 is a wasteful number, since it uses less digits than its factorization.

2442142044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2442142044 is about 49418.0335909878. The cubic root of 2442142044 is about 1346.6569397995.

Adding to 2442142044 its reverse (4402412442), we get a palindrome (6844554486).

The spelling of 2442142044 in words is "two billion, four hundred forty-two million, one hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 173 191 346 382 519 573 692 764 1038 1146 1557 1719 2053 2076 2292 3114 3438 4106 6159 6228 6876 8212 12318 18477 24636 33043 36954 66086 73908 99129 132172 198258 297387 355169 392123 396516 594774 710338 784246 1065507 1176369 1189548 1420676 1568492 2131014 2352738 3196521 3529107 4262028 4705476 6393042 7058214 12786084 14116428 67837279 135674558 203511837 271349116 407023674 610535511 814047348 1221071022 2442142044