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2023434442242 = 2321731284375029
BaseRepresentation
bin11101011100011110000…
…101110101011000000010
321011102211121212212021100
4131130132011311120002
5231122443204122432
64145315234235230
7266121406656063
oct35343605653002
97142747785240
102023434442242
11710151aa0124
122881a4125b16
13118a69633a45
146dd12d4a56a
153797a50607c
hex1d71e175602

2023434442242 has 96 divisors (see below), whose sum is σ = 4793487828480. Its totient is φ = 614101178880.

The previous prime is 2023434442241. The next prime is 2023434442243. The reversal of 2023434442242 is 2422444343202.

2023434442242 is a `hidden beast` number, since 2 + 0 + 2 + 34 + 344 + 42 + 242 = 666.

It is an interprime number because it is at equal distance from previous prime (2023434442241) and next prime (2023434442243).

It is a junction number, because it is equal to n+sod(n) for n = 2023434442197 and 2023434442206.

It is not an unprimeable number, because it can be changed into a prime (2023434442241) 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, 26931184 + ... + 27006212.

It is an arithmetic number, because the mean of its divisors is an integer number (49932164880).

Almost surely, 22023434442242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023434442242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396743914240).

2023434442242 is an abundant number, since it is smaller than the sum of its proper divisors (2770053386238).

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

2023434442242 is a wasteful number, since it uses less digits than its factorization.

2023434442242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77928 (or 77925 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 2023434442242 its reverse (2422444343202), we get a palindrome (4445878785444).

The spelling of 2023434442242 in words is "two trillion, twenty-three billion, four hundred thirty-four million, four hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 527 558 1054 1581 2843 3162 4743 5686 8529 9486 17058 25587 48331 51174 75029 88133 96662 144993 150058 176266 225087 264399 289986 434979 450174 528798 675261 793197 869958 1275493 1350522 1498261 1586394 2325899 2550986 2996522 3826479 4494783 4651798 6977697 7652958 8989566 11479437 13484349 13955394 20933091 22958874 26968698 39540283 41866182 79080566 118620849 213307447 237241698 355862547 426614894 639922341 711725094 1279844682 1919767023 3626226599 3839534046 6612530857 7252453198 10878679797 13225061714 19837592571 21757359594 32636039391 39675185142 59512777713 65272078782 112413024569 119025555426 224826049138 337239073707 674478147414 1011717221121 2023434442242