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4302444311 = 112137461563
BaseRepresentation
bin1000000000111001…
…00001011100010111
3102002211210211001022
410000130201130113
532302411204221
61550532151355
7211422113264
oct40034413427
912084724038
104302444311
111908688100
12a00a6855b
13537496c49
142cb5a226b
151a2ab84ab
hex100721717

4302444311 has 24 divisors (see below), whose sum is σ = 4782465072. Its totient is φ = 3867459200.

The previous prime is 4302444283. The next prime is 4302444353. The reversal of 4302444311 is 1134442034.

4302444311 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-4302444311 is a prime.

It is a super-2 number, since 2×43024443112 = 37022054098512529442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4302444361) 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 23 ways as a sum of consecutive naturals, for example, 7641716 + ... + 7642278.

It is an arithmetic number, because the mean of its divisors is an integer number (199269378).

Almost surely, 24302444311 is an apocalyptic number.

4302444311 is a deficient number, since it is larger than the sum of its proper divisors (480020761).

4302444311 is a wasteful number, since it uses less digits than its factorization.

4302444311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 4302444311 is about 65593.0202917963. The cubic root of 4302444311 is about 1626.4413954529.

Adding to 4302444311 its reverse (1134442034), we get a palindrome (5436886345).

The spelling of 4302444311 in words is "four billion, three hundred two million, four hundred forty-four thousand, three hundred eleven".

Divisors: 1 11 121 137 461 563 1507 5071 6193 16577 55781 63157 68123 77131 259543 694727 848441 2854973 7641997 9332851 31404703 35557391 391131301 4302444311