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4224414144225 = 352118276191659
BaseRepresentation
bin111101011110010010101…
…101000101011011100001
3112221211221200111102012110
4331132102231011123201
51023203100010103400
612552400303545533
7614126630522142
oct75362255053341
915854850442173
104224414144225
111389622721770
125828778bb2a9
1324848c1684a2
14108669a63ac9
1574d47979e50
hex3d792b456e1

4224414144225 has 48 divisors (see below), whose sum is σ = 7628521386240. Its totient is φ = 2045723803200.

The previous prime is 4224414144199. The next prime is 4224414144227. The reversal of 4224414144225 is 5224414144224.

It is a happy number.

It is not a de Polignac number, because 4224414144225 - 217 = 4224414013153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4224414144227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2413555 + ... + 3778104.

It is an arithmetic number, because the mean of its divisors is an integer number (158927528880).

Almost surely, 24224414144225 is an apocalyptic number.

It is an amenable number.

4224414144225 is a deficient number, since it is larger than the sum of its proper divisors (3404107242015).

4224414144225 is a wasteful number, since it uses less digits than its factorization.

4224414144225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6192510 (or 6192505 counting only the distinct ones).

The product of its digits is 327680, while the sum is 39.

Adding to 4224414144225 its reverse (5224414144224), we get a palindrome (9448828288449).

Subtracting 4224414144225 from its reverse (5224414144224), we obtain a palindrome (999999999999).

The spelling of 4224414144225 in words is "four trillion, two hundred twenty-four billion, four hundred fourteen million, one hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 827 2481 4135 9097 12405 20675 27291 45485 62025 136455 227425 682275 6191659 18574977 30958295 68108249 92874885 154791475 204324747 340541245 464374425 1021623735 1702706225 5108118675 5120501993 15361505979 25602509965 56325521923 76807529895 128012549825 168976565769 281627609615 384037649475 844882828845 1408138048075 4224414144225