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4134380641 = 4322236009
BaseRepresentation
bin1111011001101101…
…1010010001100001
3101200010120022000221
43312123122101201
531431400140031
61522130043041
7204311440606
oct36633322141
911603508027
104134380641
111831828406
12974719481
1350b7120a1
142b31346ad
15192e6ba11
hexf66da461

4134380641 has 6 divisors (see below), whose sum is σ = 4232766930. Its totient is φ = 4038230448.

The previous prime is 4134380633. The next prime is 4134380647. The reversal of 4134380641 is 1460834314.

It can be written as a sum of positive squares in only one way, i.e., 3834086400 + 300294241 = 61920^2 + 17329^2 .

It is not a de Polignac number, because 4134380641 - 23 = 4134380633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4134380597 and 4134380606.

It is not an unprimeable number, because it can be changed into a prime (4134380647) 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 5 ways as a sum of consecutive naturals, for example, 1116156 + ... + 1119853.

It is an arithmetic number, because the mean of its divisors is an integer number (705461155).

Almost surely, 24134380641 is an apocalyptic number.

It is an amenable number.

4134380641 is a deficient number, since it is larger than the sum of its proper divisors (98386289).

4134380641 is an equidigital number, since it uses as much as digits as its factorization.

4134380641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236095 (or 2236052 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 4134380641 is about 64299.1496133503. The cubic root of 4134380641 is about 1604.9819508003.

The spelling of 4134380641 in words is "four billion, one hundred thirty-four million, three hundred eighty thousand, six hundred forty-one".

Divisors: 1 43 1849 2236009 96148387 4134380641