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4142012020 = 22510110511951
BaseRepresentation
bin1111011011100010…
…0001011001110100
3101200122221000022121
43312320201121310
531440323341040
61523001405324
7204433343536
oct36670413164
911618830277
104142012020
11183606aa33
12977199844
135101847b3
142b415d856
15193977c4a
hexf6e21674

4142012020 has 48 divisors (see below), whose sum is σ = 8797211136. Its totient is φ = 1638000000.

The previous prime is 4142011969. The next prime is 4142012089. The reversal of 4142012020 is 202102414.

It is a junction number, because it is equal to n+sod(n) for n = 4142011985 and 4142012003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2122045 + ... + 2123995.

It is an arithmetic number, because the mean of its divisors is an integer number (183275232).

Almost surely, 24142012020 is an apocalyptic number.

It is an amenable number.

4142012020 is an abundant number, since it is smaller than the sum of its proper divisors (4655199116).

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

4142012020 is a wasteful number, since it uses less digits than its factorization.

4142012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4142012020 is about 64358.4650220932. The cubic root of 4142012020 is about 1605.9688537389.

Adding to 4142012020 its reverse (202102414), we get a palindrome (4344114434).

The spelling of 4142012020 in words is "four billion, one hundred forty-two million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 1051 1951 2020 2102 3902 4204 5255 7804 9755 10510 19510 21020 39020 106151 197051 212302 394102 424604 530755 788204 985255 1061510 1970510 2050501 2123020 3941020 4101002 8202004 10252505 20505010 41010020 207100601 414201202 828402404 1035503005 2071006010 4142012020