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4302412241 = 171012505773
BaseRepresentation
bin1000000000111000…
…11001100111010001
3102002211202012001112
410000130121213101
532302404142431
61550531343105
7211421620631
oct40034314721
912084665045
104302412241
111908665aa6
12a00a51a95
1353748547a
142cb5946c1
151a2aadc2b
hex1007199d1

4302412241 has 8 divisors (see below), whose sum is σ = 4600601064. Its totient is φ = 4009235200.

The previous prime is 4302412199. The next prime is 4302412249. The reversal of 4302412241 is 1422142034.

4302412241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2218033216 + 2084379025 = 47096^2 + 45655^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4302412241 - 214 = 4302395857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4302412249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1251170 + ... + 1254603.

It is an arithmetic number, because the mean of its divisors is an integer number (575075133).

Almost surely, 24302412241 is an apocalyptic number.

It is an amenable number.

4302412241 is a deficient number, since it is larger than the sum of its proper divisors (298188823).

4302412241 is a wasteful number, since it uses less digits than its factorization.

4302412241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505891.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4302412241 is about 65592.7758293549. The cubic root of 4302412241 is about 1626.4373543311.

Adding to 4302412241 its reverse (1422142034), we get a palindrome (5724554275).

The spelling of 4302412241 in words is "four billion, three hundred two million, four hundred twelve thousand, two hundred forty-one".

Divisors: 1 17 101 1717 2505773 42598141 253083073 4302412241