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12444413111241 = 3376711316390847
BaseRepresentation
bin1011010100010111000011…
…0100101010101111001001
31122001200012112202021211020
42311011300310222233021
53112342124224024431
642244515013223053
72423036105100606
oct265056064525711
948050175667736
1012444413111241
113a6871185a011
12148b988931a89
136c36704841b7
143104544bb6ad
15168a93979696
hexb5170d2abc9

12444413111241 has 64 divisors (see below), whose sum is σ = 17555636133888. Its totient is φ = 7832768283648.

The previous prime is 12444413111233. The next prime is 12444413111269. The reversal of 12444413111241 is 14211131444421.

It is a happy number.

12444413111241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12444413111241 - 23 = 12444413111233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12444413191241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136936680 + ... + 137027526.

It is an arithmetic number, because the mean of its divisors is an integer number (274306814592).

Almost surely, 212444413111241 is an apocalyptic number.

It is an amenable number.

12444413111241 is a deficient number, since it is larger than the sum of its proper divisors (5111223022647).

12444413111241 is a wasteful number, since it uses less digits than its factorization.

12444413111241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91230.

The product of its digits is 12288, while the sum is 33.

Adding to 12444413111241 its reverse (14211131444421), we get a palindrome (26655544555662).

The spelling of 12444413111241 in words is "twelve trillion, four hundred forty-four billion, four hundred thirteen million, one hundred eleven thousand, two hundred forty-one".

Divisors: 1 3 37 67 111 113 163 201 339 489 2479 4181 6031 7437 7571 10921 12543 18093 18419 22713 32763 55257 90847 272541 280127 404077 681503 840381 1212231 1234073 2044509 3361339 3702219 6086749 10084017 10265711 14808061 18260247 30797133 44424183 45660701 136982103 225209713 379831307 547898257 675629139 687802637 992140087 1139493921 1643694771 1673310893 2063407911 2976420261 5019932679 25448697569 36709183219 61912503041 76346092707 110127549657 112111829831 185737509123 336335489493 4148137703747 12444413111241