Search a number
-
+
4442414301 = 341319222043
BaseRepresentation
bin1000010001100100…
…11101110011011101
3102110121012000210000
410020302131303131
533044224224201
62012452204513
7215041620123
oct41062356335
912417160700
104442414301
11197a699686
12a3b909739
1355a493720
14301dd9913
151b0015d86
hex108c9dcdd

4442414301 has 40 divisors (see below), whose sum is σ = 7522850720. Its totient is φ = 2589897888.

The previous prime is 4442414299. The next prime is 4442414309. The reversal of 4442414301 is 1034142444.

It is not a de Polignac number, because 4442414301 - 21 = 4442414299 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442414309) 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 39 ways as a sum of consecutive naturals, for example, 91015 + ... + 131028.

It is an arithmetic number, because the mean of its divisors is an integer number (188071268).

Almost surely, 24442414301 is an apocalyptic number.

It is an amenable number.

4442414301 is a deficient number, since it is larger than the sum of its proper divisors (3080436419).

4442414301 is a wasteful number, since it uses less digits than its factorization.

4442414301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222087 (or 222078 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4442414301 is about 66651.4388516857. The cubic root of 4442414301 is about 1643.8910065469.

Adding to 4442414301 its reverse (1034142444), we get a palindrome (5476556745).

The spelling of 4442414301 in words is "four billion, four hundred forty-two million, four hundred fourteen thousand, three hundred one".

Divisors: 1 3 9 13 19 27 39 57 81 117 171 247 351 513 741 1053 1539 2223 6669 20007 222043 666129 1998387 2886559 4218817 5995161 8659677 12656451 17985483 25979031 37969353 54844621 77937093 113908059 164533863 233811279 341724177 493601589 1480804767 4442414301