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243542242245342 = 231783151241190207
BaseRepresentation
bin110111011000000000011000…
…110101100011101011011110
31011221022102002121021110102210
4313120000120311203223132
5223410144003003322332
62221545432254301250
7102204226540564245
oct6730003065435336
91157272077243383
10243542242245342
1170666759683757
12233941501b7826
13a5b7c1cc89a41
14441d7164dd95c
151d2515c8cdecc
hexdd8018d63ade

243542242245342 has 64 divisors (see below), whose sum is σ = 521956401168384. Its totient is φ = 75483966274560.

The previous prime is 243542242245301. The next prime is 243542242245353.

243542242245342 is nontrivially palindromic in base 10.

243542242245342 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2435422422453423 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243542242245291 and 243542242245300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1280311203 + ... + 1280501409.

It is an arithmetic number, because the mean of its divisors is an integer number (8155568768256).

Almost surely, 2243542242245342 is an apocalyptic number.

243542242245342 is an abundant number, since it is smaller than the sum of its proper divisors (278414158923042).

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

243542242245342 is a wasteful number, since it uses less digits than its factorization.

243542242245342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341553.

The product of its digits is 14745600, while the sum is 48.

The spelling of 243542242245342 in words is "two hundred forty-three trillion, five hundred forty-two billion, two hundred forty-two million, two hundred forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 17 34 51 83 102 166 249 498 1411 2822 4233 8466 151241 190207 302482 380414 453723 570621 907446 1141242 2571097 3233519 5142194 6467038 7713291 9700557 12553003 15426582 15787181 19401114 25106006 31574362 37659009 47361543 75318018 94723086 213401051 268382077 426802102 536764154 640203153 805146231 1280406306 1610292462 28767096887 57534193774 86301290661 172602581322 489040647079 978081294158 1467121941237 2387669041621 2934243882474 4775338083242 7163007124863 14326014249726 40590373707557 81180747415114 121771121122671 243542242245342