Search a number
-
+
4142322302211 = 328331722817669
BaseRepresentation
bin111100010001110101101…
…001100011110100000011
3112200000001120012202102100
4330101311221203310003
51020331434002132321
612450542342521443
7605162415421602
oct74216551436403
915600046182370
104142322302211
111357826a49835
1256a987436283
13240808840b42
141046bd163a39
1572b40a06326
hex3c475a63d03

4142322302211 has 48 divisors (see below), whose sum is σ = 6078000932640. Its totient is φ = 2718123194880.

The previous prime is 4142322302177. The next prime is 4142322302213. The reversal of 4142322302211 is 1122032232414.

4142322302211 is a `hidden beast` number, since 4 + 1 + 423 + 2 + 23 + 0 + 2 + 211 = 666.

4142322302211 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 4142322302211 - 211 = 4142322300163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4142322302213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540134685 + ... + 540142353.

It is an arithmetic number, because the mean of its divisors is an integer number (126625019430).

Almost surely, 24142322302211 is an apocalyptic number.

4142322302211 is a deficient number, since it is larger than the sum of its proper divisors (1935678630429).

4142322302211 is a wasteful number, since it uses less digits than its factorization.

4142322302211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10356 (or 10353 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4142322302211 its reverse (1122032232414), we get a palindrome (5264354534625).

The spelling of 4142322302211 in words is "four trillion, one hundred forty-two billion, three hundred twenty-two million, three hundred two thousand, two hundred eleven".

Divisors: 1 3 9 83 249 317 747 951 2281 2853 6843 7669 20529 23007 26311 69021 78933 189323 236799 567969 636527 723077 1703907 1909581 2169231 2431073 5728743 6507693 7293219 17492989 21879657 52478967 60015391 157436901 180046173 201779059 540138519 605337177 1451918087 1816011531 4355754261 5545277513 13067262783 16635832539 49907497617 460258033579 1380774100737 4142322302211