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244204304424311 = 711171734493240011
BaseRepresentation
bin110111100001101000111110…
…110100010101110101110111
31012000122200222212001212102002
4313201220332310111311313
5224002020403413034221
62223213524140405515
7102303115213342460
oct6741507664256567
91160580885055362
10244204304424311
11708a15114aa950
122348051b54689b
13a6354a067c46a
1444437a1079d67
151d374ab04580b
hexde1a3ed15d77

244204304424311 has 64 divisors (see below), whose sum is σ = 324309006959616. Its totient is φ = 178019986790400.

The previous prime is 244204304424211. The next prime is 244204304424317. The reversal of 244204304424311 is 113424403402442.

It is a cyclic number.

It is not a de Polignac number, because 244204304424311 - 230 = 244203230682487 is a prime.

It is a super-3 number, since 3×2442043044243113 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244204304424317) 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 63 ways as a sum of consecutive naturals, for example, 1017351296 + ... + 1017591306.

It is an arithmetic number, because the mean of its divisors is an integer number (5067328233744).

Almost surely, 2244204304424311 is an apocalyptic number.

244204304424311 is a deficient number, since it is larger than the sum of its proper divisors (80104702535305).

244204304424311 is a wasteful number, since it uses less digits than its factorization.

244204304424311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244712.

The product of its (nonzero) digits is 294912, while the sum is 38.

Adding to 244204304424311 its reverse (113424403402442), we get a palindrome (357628707826753).

The spelling of 244204304424311 in words is "two hundred forty-four trillion, two hundred four billion, three hundred four million, four hundred twenty-four thousand, three hundred eleven".

Divisors: 1 7 11 17 77 119 173 187 1211 1309 1903 2941 4493 13321 20587 31451 32351 49423 76381 226457 240011 345961 534667 777289 840191 1680077 2640121 4080187 5441023 5881337 8550179 13213913 18480847 28561309 41521903 44882057 59851253 92497391 145353043 290653321 314174399 456740933 705872351 1017471301 1078369423 3197186531 4941106457 7548585961 7764595861 11862063653 18332280191 54352171027 83034445571 128325961337 186557910179 201655082101 1305905371253 1411585574707 2052137011969 3171484473043 14364959083783 22200391311301 34886329203473 244204304424311