Search a number
-
+
144204144121311 = 3822151593113329
BaseRepresentation
bin100000110010011100100100…
…110010010001010111011111
3200220120210002202010002202020
4200302130210302101113133
5122400120041343340221
61230410245210031223
742242256056506431
oct4062344462212737
9626523082102666
10144204144121311
1141a476a7a6475a
121420b890118513
13626051426ab91
142787736c5a651
1511a113265dac6
hex832724c915df

144204144121311 has 16 divisors (see below), whose sum is σ = 192301004081760. Its totient is φ = 96121690813440.

The previous prime is 144204144121183. The next prime is 144204144121333. The reversal of 144204144121311 is 113121441402441.

It is a happy number.

It is not a de Polignac number, because 144204144121311 - 27 = 144204144121183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144204144141311) 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 15 ways as a sum of consecutive naturals, for example, 1272381495 + ... + 1272494823.

It is an arithmetic number, because the mean of its divisors is an integer number (12018812755110).

Almost surely, 2144204144121311 is an apocalyptic number.

144204144121311 is a deficient number, since it is larger than the sum of its proper divisors (48096859960449).

144204144121311 is a wasteful number, since it uses less digits than its factorization.

144204144121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173146.

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

Adding to 144204144121311 its reverse (113121441402441), we get a palindrome (257325585523752).

The spelling of 144204144121311 in words is "one hundred forty-four trillion, two hundred four billion, one hundred forty-four million, one hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 8221 24663 51593 113329 154779 339987 424146053 931677709 1272438159 2795033127 5846983097 17540949291 48068048040437 144204144121311