Search a number
-
+
4142132140 = 225207106607
BaseRepresentation
bin1111011011100011…
…1110101110101100
3101200200011010002111
43312320332232230
531440341212030
61523004133404
7204434353666
oct36670765654
911620133074
104142132140
111836142203
12977237264
135101c7383
142b4191536
1519399d62a
hexf6e3ebac

4142132140 has 12 divisors (see below), whose sum is σ = 8698477536. Its totient is φ = 1656852848.

The previous prime is 4142132087. The next prime is 4142132143. The reversal of 4142132140 is 412312414.

It is a happy number.

It is a super-3 number, since 3×41421321403 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4142132143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103553284 + ... + 103553323.

It is an arithmetic number, because the mean of its divisors is an integer number (724873128).

Almost surely, 24142132140 is an apocalyptic number.

It is an amenable number.

4142132140 is an abundant number, since it is smaller than the sum of its proper divisors (4556345396).

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

4142132140 is a wasteful number, since it uses less digits than its factorization.

4142132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207106616 (or 207106614 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4142132140 is about 64359.3982259002. The cubic root of 4142132140 is about 1605.9843781678.

Adding to 4142132140 its reverse (412312414), we get a palindrome (4554444554).

The spelling of 4142132140 in words is "four billion, one hundred forty-two million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 207106607 414213214 828426428 1035533035 2071066070 4142132140