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1282440042 = 232139375849
BaseRepresentation
bin100110001110000…
…0111101101101010
310022101010201000100
41030130013231222
510111301040132
6331131050230
743531363152
oct11434075552
93271121010
101282440042
115a89a4204
122b95a0976
131758ca380
14c246d762
15778c237c
hex4c707b6a

1282440042 has 48 divisors (see below), whose sum is σ = 2996065800. Its totient is φ = 394108416.

The previous prime is 1282440037. The next prime is 1282440043. The reversal of 1282440042 is 2400442821.

1282440042 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 436851801 + 845588241 = 20901^2 + 29079^2 .

It is a super-2 number, since 2×12824400422 = 3289304922649923528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1282439988 and 1282440015.

It is not an unprimeable number, because it can be changed into a prime (1282440043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216334 + ... + 222182.

Almost surely, 21282440042 is an apocalyptic number.

1282440042 is an abundant number, since it is smaller than the sum of its proper divisors (1713625758).

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

1282440042 is a wasteful number, since it uses less digits than its factorization.

1282440042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6807 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1282440042 is about 35811.1720277346. The cubic root of 1282440042 is about 1086.4565350565.

Adding to 1282440042 its reverse (2400442821), we get a palindrome (3682882863).

The spelling of 1282440042 in words is "one billion, two hundred eighty-two million, four hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 937 1874 2811 5622 5849 8433 11698 12181 16866 17547 24362 35094 36543 52641 73086 76037 105282 109629 152074 219258 228111 456222 684333 1368666 5480513 10961026 16441539 32883078 49324617 71246669 98649234 142493338 213740007 427480014 641220021 1282440042