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2023434442206 = 234411949156307
BaseRepresentation
bin11101011100011110000…
…101110101010111011110
321011102211121212212020000
4131130132011311113132
5231122443204122311
64145315234235130
7266121406656012
oct35343605652736
97142747785200
102023434442206
11710151aa00a1
122881a4125aa6
13118a69633a18
146dd12d4a542
153797a506056
hex1d71e1755de

2023434442206 has 80 divisors (see below), whose sum is σ = 4646989947600. Its totient is φ = 657685630080.

The previous prime is 2023434442189. The next prime is 2023434442207. The reversal of 2023434442206 is 6022444343202.

2023434442206 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 4 + 3 + 4 + 442 + 206 = 666.

It is a super-3 number, since 3×20234344422063 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023434442207) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12867105 + ... + 13023411.

It is an arithmetic number, because the mean of its divisors is an integer number (58087374345).

Almost surely, 22023434442206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023434442206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323494973800).

2023434442206 is an abundant number, since it is smaller than the sum of its proper divisors (2623555505394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2023434442206 is a wasteful number, since it uses less digits than its factorization.

2023434442206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158311 (or 158302 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 2023434442206 its reverse (6022444343202), we get a palindrome (8045878785408).

The spelling of 2023434442206 in words is "two trillion, twenty-three billion, four hundred thirty-four million, four hundred forty-two thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 1949 2214 3321 3898 5847 6642 11694 17541 35082 52623 79909 105246 156307 157869 159818 239727 312614 315738 468921 479454 719181 937842 1406763 1438362 2157543 2813526 4220289 4315086 6408587 6472629 8440578 12660867 12817174 12945258 19225761 25321734 38451522 57677283 115354566 173031849 304642343 346063698 519095547 609284686 913927029 1038191094 1827854058 2741781087 5483562174 8225343261 12490336063 16450686522 24676029783 24980672126 37471008189 49352059566 74942016378 112413024567 224826049134 337239073701 674478147402 1011717221103 2023434442206