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144044104101021 = 322329144539166013
BaseRepresentation
bin100000110000000111100001…
…101010000010110010011101
3200220000111000021120201020100
4200300013201222002302131
5122340004311122213041
61230204540425011313
742224562116002125
oct4060074152026235
9626014007521210
10144044104101021
11419958415a7783
12141a4867023b39
13624b3ba92b417
14277dab3cc9c85
15119bdb74186b6
hex8301e1a82c9d

144044104101021 has 48 divisors (see below), whose sum is σ = 224599410921600. Its totient is φ = 88685676917376.

The previous prime is 144044104100957. The next prime is 144044104101041. The reversal of 144044104101021 is 120101401440441.

144044104101021 is a `hidden beast` number, since 1 + 440 + 4 + 4 + 104 + 10 + 102 + 1 = 666.

It is not a de Polignac number, because 144044104101021 - 26 = 144044104100957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144044104101041) 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 47 ways as a sum of consecutive naturals, for example, 867584611 + ... + 867750623.

It is an arithmetic number, because the mean of its divisors is an integer number (4679154394200).

Almost surely, 2144044104101021 is an apocalyptic number.

It is an amenable number.

144044104101021 is a deficient number, since it is larger than the sum of its proper divisors (80555306820579).

144044104101021 is a wasteful number, since it uses less digits than its factorization.

144044104101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310610 (or 310607 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 144044104101021 its reverse (120101401440441), we get a palindrome (264145505541462).

The spelling of 144044104101021 in words is "one hundred forty-four trillion, forty-four billion, one hundred four million, one hundred one thousand, twenty-one".

Divisors: 1 3 9 23 29 69 87 207 261 667 2001 6003 144539 166013 433617 498039 1300851 1494117 3324397 3818299 4191631 4814377 9973191 11454897 12574893 14443131 29919573 34364691 37724679 43329393 96407513 110730671 289222539 332192013 867667617 996576039 23995353007 71986059021 215958177063 551893119161 695865237203 1655679357483 2087595711609 4967038072449 6262787134827 16004900455669 48014701367007 144044104101021