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4142220435 = 325592315541
BaseRepresentation
bin1111011011100101…
…0100010010010011
3101200200022121012200
43312321110102103
531440402023220
61523010054243
7204435202263
oct36671242223
911620277180
104142220435
1118361a2581
1297727a383
13510228612
142b41b57a3
151939b9890
hexf6e54493

4142220435 has 24 divisors (see below), whose sum is σ = 7181523024. Its totient is φ = 2208669120.

The previous prime is 4142220431. The next prime is 4142220461. The reversal of 4142220435 is 5340222414.

4142220435 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 220 + 435 = 666.

It is not a de Polignac number, because 4142220435 - 22 = 4142220431 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4142220399 and 4142220408.

It is not an unprimeable number, because it can be changed into a prime (4142220431) 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 23 ways as a sum of consecutive naturals, for example, 258765 + ... + 274305.

It is an arithmetic number, because the mean of its divisors is an integer number (299230126).

Almost surely, 24142220435 is an apocalyptic number.

4142220435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4142220435 is a deficient number, since it is larger than the sum of its proper divisors (3039302589).

4142220435 is a wasteful number, since it uses less digits than its factorization.

4142220435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21475 (or 21472 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4142220435 is about 64360.0841748983. The cubic root of 4142220435 is about 1605.9957893106.

Adding to 4142220435 its reverse (5340222414), we get a palindrome (9482442849).

The spelling of 4142220435 in words is "four billion, one hundred forty-two million, two hundred twenty thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 45 5923 15541 17769 29615 46623 53307 77705 88845 139869 233115 266535 699345 92049343 276148029 460246715 828444087 1380740145 4142220435