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144220304311 = 3147731976883
BaseRepresentation
bin1000011001010000110…
…0110011001110110111
3111210020221221112220021
42012110030303032313
54330330344214221
6150130501350011
713263625234336
oct2062414631667
9453227845807
10144220304311
1156188669246
1223b4b108307
13107a5029795
146da1d2bd1d
153b414b2041
hex21943333b7

144220304311 has 32 divisors (see below), whose sum is σ = 154927669248. Its totient is φ = 134023921920.

The previous prime is 144220304297. The next prime is 144220304323. The reversal of 144220304311 is 113403022441.

144220304311 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 144220304311 - 225 = 144186749879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144220304341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20949676 + ... + 20956558.

It is an arithmetic number, because the mean of its divisors is an integer number (4841489664).

Almost surely, 2144220304311 is an apocalyptic number.

144220304311 is a deficient number, since it is larger than the sum of its proper divisors (10707364937).

144220304311 is a wasteful number, since it uses less digits than its factorization.

144220304311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 144220304311 its reverse (113403022441), we get a palindrome (257623326752).

The spelling of 144220304311 in words is "one hundred forty-four billion, two hundred twenty million, three hundred four thousand, three hundred eleven".

Divisors: 1 31 47 73 197 1457 2263 3431 6107 6883 9259 14381 106361 213373 287029 323501 445811 502459 675907 1355951 10028531 15576229 20953117 23615573 42034481 63729697 98984423 732082763 1975620607 3068517113 4652267881 144220304311