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6444114446 = 271147890317
BaseRepresentation
bin1100000000001100…
…10110001000001110
3121122002201221011102
412000012112020032
5101144143130241
62543235423102
7315456032450
oct60006261016
917562657142
106444114446
112807597620
1212ba154a92
137b90b4893
14451bb82d0
1527ab1239b
hex18019620e

6444114446 has 32 divisors (see below), whose sum is σ = 12307756032. Its totient is φ = 2457272160.

The previous prime is 6444114431. The next prime is 6444114449.

6444114446 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64441144462 = 83053221986291773832, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6444114449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437921 + ... + 452396.

It is an arithmetic number, because the mean of its divisors is an integer number (384617376).

Almost surely, 26444114446 is an apocalyptic number.

6444114446 is a deficient number, since it is larger than the sum of its proper divisors (5863641586).

6444114446 is a wasteful number, since it uses less digits than its factorization.

6444114446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890384.

The product of its digits is 147456, while the sum is 38.

The square root of 6444114446 is about 80275.2417996981. The cubic root of 6444114446 is about 1860.8916261232.

It can be divided in two parts, 64441 and 14446, that added together give a palindrome (78887).

The spelling of 6444114446 in words is "six billion, four hundred forty-four million, one hundred fourteen thousand, four hundred forty-six".

Divisors: 1 2 7 11 14 22 47 77 94 154 329 517 658 1034 3619 7238 890317 1780634 6232219 9793487 12464438 19586974 41844899 68554409 83689798 137108818 292914293 460293889 585828586 920587778 3222057223 6444114446