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144104413101441 = 313101181202121599
BaseRepresentation
bin100000110000111111101100…
…010110100111110110000001
3200220020020200022121100212120
4200300333230112213312001
5122342001314223221231
61230252353052114453
742232125460023522
oct4060775426476601
9626206608540776
10144104413101441
1141a0937a446391
12141b4498465a29
136253cac3b7ca0
142782995816849
15119d746d56d96
hex830fec5a7d81

144104413101441 has 32 divisors (see below), whose sum is σ = 210122381414400. Its totient is φ = 87316530336000.

The previous prime is 144104413101419. The next prime is 144104413101443. The reversal of 144104413101441 is 144101314401441.

144104413101441 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 144104413101441 - 29 = 144104413100929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144104413101443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100347841 + ... + 101773758.

It is an arithmetic number, because the mean of its divisors is an integer number (6566324419200).

Almost surely, 2144104413101441 is an apocalyptic number.

It is an amenable number.

144104413101441 is a deficient number, since it is larger than the sum of its proper divisors (66017968312959).

144104413101441 is a wasteful number, since it uses less digits than its factorization.

144104413101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202121897.

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

Adding to 144104413101441 its reverse (144101314401441), we get a palindrome (288205727502882).

The spelling of 144104413101441 in words is "one hundred forty-four trillion, one hundred four billion, four hundred thirteen million, one hundred one thousand, four hundred forty-one".

Divisors: 1 3 13 39 101 181 303 543 1313 2353 3939 7059 18281 54843 237653 712959 202121599 606364797 2627580787 7882742361 20414281499 36584009419 61242844497 109752028257 265385659487 475592122447 796156978461 1426776367341 3694984951319 11084954853957 48034804367147 144104413101441