Search a number
-
+
42006100420 = 2252100305021
BaseRepresentation
bin100111000111110000…
…100011100111000100
311000102110212222221001
4213013300203213010
51142012030203140
631144120303044
73014643651034
oct470760434704
9130373788831
1042006100420
11168a6391a79
128183911a84
133c6588452b
142066bb38c4
15115cba1e9a
hex9c7c239c4

42006100420 has 12 divisors (see below), whose sum is σ = 88212810924. Its totient is φ = 16802440160.

The previous prime is 42006100397. The next prime is 42006100421. The reversal of 42006100420 is 2400160024.

It can be written as a sum of positive squares in 2 ways, for example, as 19137402244 + 22868698176 = 138338^2 + 151224^2 .

It is not an unprimeable number, because it can be changed into a prime (42006100421) 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 3 ways as a sum of consecutive naturals, for example, 1050152491 + ... + 1050152530.

It is an arithmetic number, because the mean of its divisors is an integer number (7351067577).

Almost surely, 242006100420 is an apocalyptic number.

It is an amenable number.

42006100420 is an abundant number, since it is smaller than the sum of its proper divisors (46206710504).

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

42006100420 is a wasteful number, since it uses less digits than its factorization.

42006100420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100305030 (or 2100305028 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 42006100420 its reverse (2400160024), we get a palindrome (44406260444).

The spelling of 42006100420 in words is "forty-two billion, six million, one hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2100305021 4200610042 8401220084 10501525105 21003050210 42006100420