Search a number
-
+
4142130435 = 325197096833
BaseRepresentation
bin1111011011100011…
…1110010100000011
3101200200011000202100
43312320332110003
531440341133220
61523004121443
7204434346012
oct36670762403
911620130670
104142130435
1118361409a3
12977236283
135101c6671
142b4190a79
1519399cd90
hexf6e3e503

4142130435 has 48 divisors (see below), whose sum is σ = 7569338400. Its totient is φ = 2089608192.

The previous prime is 4142130403. The next prime is 4142130437. The reversal of 4142130435 is 5340312414.

It is a happy number.

4142130435 is a `hidden beast` number, since 4 + 14 + 213 + 0 + 435 = 666.

It is not a de Polignac number, because 4142130435 - 25 = 4142130403 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4142130399 and 4142130408.

It is not an unprimeable number, because it can be changed into a prime (4142130437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602779 + ... + 609611.

It is an arithmetic number, because the mean of its divisors is an integer number (157694550).

Almost surely, 24142130435 is an apocalyptic number.

4142130435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4142130435 is a deficient number, since it is larger than the sum of its proper divisors (3427207965).

4142130435 is a wasteful number, since it uses less digits than its factorization.

4142130435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7572 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4142130435 is about 64359.3849799701. The cubic root of 4142130435 is about 1605.9841578140.

Adding to 4142130435 its reverse (5340312414), we get a palindrome (9482442849).

The spelling of 4142130435 in words is "four billion, one hundred forty-two million, one hundred thirty thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 709 855 2127 3545 6381 6833 10635 13471 20499 31905 34165 40413 61497 67355 102495 121239 129827 202065 307485 389481 606195 649135 1168443 1947405 4844597 5842215 14533791 24222985 43601373 72668955 92047343 218006865 276142029 460236715 828426087 1380710145 4142130435