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4042142212311 = 327212833014659
BaseRepresentation
bin111010110100100010011…
…100110110000011010111
3112022102110211200220021100
4322310202130312003113
51012211301401243221
612332533503521143
7565015023621630
oct72644234660327
915272424626240
104042142212311
11131929899a505
125534892b91b3
13234231928638
14dd8d8224887
157022aa96926
hex3ad227360d7

4042142212311 has 24 divisors (see below), whose sum is σ = 6673058437760. Its totient is φ = 2309686256016.

The previous prime is 4042142212307. The next prime is 4042142212387. The reversal of 4042142212311 is 1132122412404.

4042142212311 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 1 + 422 + 1 + 231 + 1 = 666.

4042142212311 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4042142212311 - 22 = 4042142212307 is a prime.

It is a super-3 number, since 3×40421422123113 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042142212301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166501 + ... + 2848158.

Almost surely, 24042142212311 is an apocalyptic number.

4042142212311 is a deficient number, since it is larger than the sum of its proper divisors (2630916225449).

4042142212311 is a wasteful number, since it uses less digits than its factorization.

4042142212311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035955 (or 3035952 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4042142212311 its reverse (1132122412404), we get a palindrome (5174264624715).

The spelling of 4042142212311 in words is "four trillion, forty-two billion, one hundred forty-two million, two hundred twelve thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 21283 63849 148981 191547 446943 1340829 3014659 9043977 21102613 27131931 63307839 189923517 64160987497 192482962491 449126912479 577448887473 1347380737437 4042142212311