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304221413444 = 221310975333101
BaseRepresentation
bin1000110110101010000…
…00100110000001000100
31002002020201021001100012
410123111000212001010
514441021140212234
6351431332405352
730656614230224
oct4332500460104
91062221231305
10304221413444
11108024069743
124ab63176858
13228c35941a0
1410a1da50084
157da80bd0ce
hex46d5026044

304221413444 has 24 divisors (see below), whose sum is σ = 573863107608. Its totient is φ = 140281862400.

The previous prime is 304221413417. The next prime is 304221413449. The reversal of 304221413444 is 444314122403.

It can be written as a sum of positive squares in 4 ways, for example, as 102252544 + 304119160900 = 10112^2 + 551470^2 .

It is a super-3 number, since 3×3042214134443 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 304221413444.

It is not an unprimeable number, because it can be changed into a prime (304221413449) 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, 2609507 + ... + 2723594.

It is an arithmetic number, because the mean of its divisors is an integer number (23910962817).

Almost surely, 2304221413444 is an apocalyptic number.

It is an amenable number.

304221413444 is a deficient number, since it is larger than the sum of its proper divisors (269641694164).

304221413444 is a wasteful number, since it uses less digits than its factorization.

304221413444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334215 (or 5334213 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 304221413444 its reverse (444314122403), we get a palindrome (748535535847).

The spelling of 304221413444 in words is "three hundred four billion, two hundred twenty-one million, four hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 52 1097 2194 4388 14261 28522 57044 5333101 10666202 21332404 69330313 138660626 277321252 5850411797 11700823594 23401647188 76055353361 152110706722 304221413444