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4142224305 = 335283108421
BaseRepresentation
bin1111011011100101…
…0101001110110001
3101200200022210112000
43312321111032301
531440402134210
61523010124213
7204435216462
oct36671251661
911620283460
104142224305
1118361a547a
12977280669
1351022a2cb
142b41b6d69
151939baac0
hexf6e553b1

4142224305 has 32 divisors (see below), whose sum is σ = 7390043520. Its totient is φ = 2201359680.

The previous prime is 4142224279. The next prime is 4142224319. The reversal of 4142224305 is 5034222414.

4142224305 is a `hidden beast` number, since 4 + 1 + 4 + 222 + 430 + 5 = 666.

It is not a de Polignac number, because 4142224305 - 28 = 4142224049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16006 + ... + 92415.

It is an arithmetic number, because the mean of its divisors is an integer number (230938860).

Almost surely, 24142224305 is an apocalyptic number.

4142224305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4142224305 is a deficient number, since it is larger than the sum of its proper divisors (3247819215).

4142224305 is a wasteful number, since it uses less digits than its factorization.

4142224305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108718 (or 108712 counting only the distinct ones).

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

The square root of 4142224305 is about 64360.1142401099. The cubic root of 4142224305 is about 1605.9962894611.

Adding to 4142224305 its reverse (5034222414), we get a palindrome (9176446719).

The spelling of 4142224305 in words is "four billion, one hundred forty-two million, two hundred twenty-four thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 135 283 849 1415 2547 4245 7641 12735 38205 108421 325263 542105 975789 1626315 2927367 4878945 14636835 30683143 92049429 153415715 276148287 460247145 828444861 1380741435 4142224305