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4142213024 = 25474436217
BaseRepresentation
bin1111011011100101…
…0010011110100000
3101200200022020001012
43312321102132200
531440401304044
61523010000052
7204435141545
oct36671223640
911620266035
104142213024
111836197a54
12977276028
13510225131
142b41b2bcc
151939b759e
hexf6e527a0

4142213024 has 48 divisors (see below), whose sum is σ = 8348635008. Its totient is φ = 2022139392.

The previous prime is 4142213021. The next prime is 4142213063. The reversal of 4142213024 is 4203122414.

It is not an unprimeable number, because it can be changed into a prime (4142213021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 663164 + ... + 669380.

It is an arithmetic number, because the mean of its divisors is an integer number (173929896).

Almost surely, 24142213024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174317504).

4142213024 is an abundant number, since it is smaller than the sum of its proper divisors (4206421984).

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

4142213024 is a wasteful number, since it uses less digits than its factorization.

4142213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4142213024 is about 64360.0266003674. The cubic root of 4142213024 is about 1605.9948315278.

Adding to 4142213024 its reverse (4203122414), we get a palindrome (8345335438).

The spelling of 4142213024 in words is "four billion, one hundred forty-two million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 47 94 188 376 443 752 886 1504 1772 3544 6217 7088 12434 14176 20821 24868 41642 49736 83284 99472 166568 198944 292199 333136 584398 666272 1168796 2337592 2754131 4675184 5508262 9350368 11016524 22033048 44066096 88132192 129444157 258888314 517776628 1035553256 2071106512 4142213024