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4042140142203 = 324347835035323
BaseRepresentation
bin111010110100100010010…
…100111100101001111011
3112022102110200210201121200
4322310202110330221323
51012211300334022303
612332533351305243
7565015000210422
oct72644224745173
915272420721550
104042140142203
111319297806179
1255348867b223
13234231382317
14dd8d7c462b9
157022a7d83a3
hex3ad2253ca7b

4042140142203 has 96 divisors (see below), whose sum is σ = 6188496297984. Its totient is φ = 2539515174336.

The previous prime is 4042140142093. The next prime is 4042140142207. The reversal of 4042140142203 is 3022410412404.

4042140142203 is a `hidden beast` number, since 4 + 0 + 421 + 4 + 0 + 14 + 220 + 3 = 666.

4042140142203 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 4042140142203 - 28 = 4042140141947 is a prime.

It is a super-3 number, since 3×40421401422033 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4042140142207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 759369900 + ... + 759375222.

It is an arithmetic number, because the mean of its divisors is an integer number (64463503104).

Almost surely, 24042140142203 is an apocalyptic number.

4042140142203 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

4042140142203 is a deficient number, since it is larger than the sum of its proper divisors (2146356155781).

4042140142203 is a wasteful number, since it uses less digits than its factorization.

4042140142203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4042140142203 its reverse (3022410412404), we get a palindrome (7064550554607).

The spelling of 4042140142203 in words is "four trillion, forty-two billion, one hundred forty million, one hundred forty-two thousand, two hundred three".

Divisors: 1 3 9 43 47 83 129 141 249 387 423 503 747 1509 2021 3569 3901 4527 5323 6063 10707 11703 15969 18189 21629 23641 32121 35109 41749 47907 64887 70923 125247 167743 194661 212769 228889 250181 375741 441809 503229 686667 750543 1016563 1325427 1509687 1795207 1962203 2060001 2251629 2677469 3049689 3976281 5385621 5886609 8032407 9149067 10757783 16156863 17659827 18997787 20765023 24097221 32273349 56993361 62295069 84374729 96820047 115131167 125841043 170980083 186885207 222229927 253124187 345393501 377523129 666689781 759372561 892895989 1036180503 1132569387 2000069343 2678687967 5411164849 8036063901 9555886861 10444806569 16233494547 28667660583 31334419707 48700483641 86002981749 94003259121 449126682467 1347380047401 4042140142203