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4144221412 = 223133539377
BaseRepresentation
bin1111011100000011…
…1100110011100100
3101200211002021000221
43313000330303210
531441410041122
61523121014124
7204461205112
oct36700746344
911624067027
104144221412
111837339981
12977a84344
13510779326
142b4576ab2
15193c626c7
hexf703cce4

4144221412 has 24 divisors (see below), whose sum is σ = 7296946776. Its totient is φ = 2059419648.

The previous prime is 4144221383. The next prime is 4144221437. The reversal of 4144221412 is 2141224414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 217444516 + 3926776896 = 14746^2 + 62664^2 .

It is a super-2 number, since 2×41442214122 = 34349142223358547488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 437268 + ... + 446644.

It is an arithmetic number, because the mean of its divisors is an integer number (304039449).

Almost surely, 24144221412 is an apocalyptic number.

It is an amenable number.

4144221412 is a deficient number, since it is larger than the sum of its proper divisors (3152725364).

4144221412 is a wasteful number, since it uses less digits than its factorization.

4144221412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10047 (or 10045 counting only the distinct ones).

The product of its digits is 2048, while the sum is 25.

The square root of 4144221412 is about 64375.6274687867. The cubic root of 4144221412 is about 1606.2543497750.

Adding to 4144221412 its reverse (2141224414), we get a palindrome (6285445826).

The spelling of 4144221412 in words is "four billion, one hundred forty-four million, two hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 4 313 353 626 706 1252 1412 9377 18754 37508 110489 220978 441956 2935001 3310081 5870002 6620162 11740004 13240324 1036055353 2072110706 4144221412