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30414442023 = 327312796359
BaseRepresentation
bin11100010100110101…
…111000111000100111
32220111122010201221200
4130110311320320213
5444242044121043
621545555013543
72124461330430
oct342465707047
986448121850
1030414442023
11119981834a9
125a8989a2b3
132b391c2074
1416874cc487
15bd01e17d3
hex714d78e27

30414442023 has 72 divisors (see below), whose sum is σ = 52544793600. Its totient is φ = 16603535520.

The previous prime is 30414442001. The next prime is 30414442057. The reversal of 30414442023 is 32024441403.

It is a happy number.

30414442023 is a `hidden beast` number, since 3 + 0 + 414 + 44 + 202 + 3 = 666.

It is not a de Polignac number, because 30414442023 - 210 = 30414440999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30414442523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4779718 + ... + 4786076.

It is an arithmetic number, because the mean of its divisors is an integer number (729788800).

Almost surely, 230414442023 is an apocalyptic number.

30414442023 is a deficient number, since it is larger than the sum of its proper divisors (22130351577).

30414442023 is a wasteful number, since it uses less digits than its factorization.

30414442023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6513 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30414442023 its reverse (32024441403), we get a palindrome (62438883426).

The spelling of 30414442023 in words is "thirty billion, four hundred fourteen million, four hundred forty-two thousand, twenty-three".

Divisors: 1 3 7 9 21 31 63 79 93 217 237 279 553 651 711 961 1659 1953 2449 2883 4977 6359 6727 7347 8649 17143 19077 20181 22041 44513 51429 57231 60543 75919 133539 154287 197129 227757 400617 502361 531433 591387 683271 1379903 1507083 1594299 1774161 3516527 4139709 4521249 4782897 6110999 10549581 12419127 15573191 18332997 31648743 42776993 46719573 54998991 109012337 128330979 140158719 327037011 384992937 482768921 981111033 1448306763 3379382447 4344920289 10138147341 30414442023