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4144104434411 = 171492237336529
BaseRepresentation
bin111100010011011111110…
…111110110101011101011
3112200011122202121110012122
4330103133313312223223
51020344111213400121
612451435244101455
7605254525330364
oct74233767665353
915604582543178
104144104434411
111358560a0a067
1256b1a423488b
13240a30b16136
1410480bb08b6b
1572be71d05ab
hex3c4dfdf6aeb

4144104434411 has 16 divisors (see below), whose sum is σ = 4437133344000. Its totient is φ = 3856783423488.

The previous prime is 4144104434389. The next prime is 4144104434423. The reversal of 4144104434411 is 1144344014414.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4144104434411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4144104434311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3103406 + ... + 4233123.

It is an arithmetic number, because the mean of its divisors is an integer number (277320834000).

Almost surely, 24144104434411 is an apocalyptic number.

4144104434411 is a deficient number, since it is larger than the sum of its proper divisors (293028909589).

4144104434411 is a wasteful number, since it uses less digits than its factorization.

4144104434411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336918.

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 4144104434411 its reverse (1144344014414), we get a palindrome (5288448448825).

The spelling of 4144104434411 in words is "four trillion, one hundred forty-four billion, one hundred four million, four hundred thirty-four thousand, four hundred eleven".

Divisors: 1 17 149 223 2533 3791 33227 564859 7336529 124720993 1093142821 1636045967 18583427957 27812781439 243770849083 4144104434411