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243201132342 = 233712719326249
BaseRepresentation
bin1110001001111111101…
…0101100011100110110
3212020202002211121001000
43202133322230130312
512441033442213332
6303420340144130
723366515342110
oct3423772543466
9766662747030
10243201132342
1194160776363
123b173698046
1319c1a64878c
14bab18903b0
1564d5eceb7c
hex389feac736

243201132342 has 128 divisors (see below), whose sum is σ = 625766400000. Its totient is φ = 68579094528.

The previous prime is 243201132323. The next prime is 243201132367. The reversal of 243201132342 is 243231102342.

243201132342 is a `hidden beast` number, since 2 + 4 + 320 + 11 + 323 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9252034 + ... + 9278282.

It is an arithmetic number, because the mean of its divisors is an integer number (4888800000).

Almost surely, 2243201132342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243201132342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312883200000).

243201132342 is an abundant number, since it is smaller than the sum of its proper divisors (382565267658).

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

243201132342 is a wasteful number, since it uses less digits than its factorization.

243201132342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26587 (or 26581 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 243201132342 its reverse (243231102342), we get a palindrome (486432234684).

The spelling of 243201132342 in words is "two hundred forty-three billion, two hundred one million, one hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 127 189 193 254 378 381 386 579 762 889 1143 1158 1351 1737 1778 2286 2667 2702 3429 3474 4053 5211 5334 6858 8001 8106 10422 12159 16002 24003 24318 24511 26249 36477 48006 49022 52498 72954 73533 78747 147066 157494 171577 183743 220599 236241 343154 367486 441198 472482 514731 551229 661797 708723 1029462 1102458 1323594 1417446 1544193 1653687 3088386 3307374 3333623 4632579 4961061 5066057 6667246 9265158 9922122 10000869 10132114 15198171 20001738 23335361 30002607 30396342 35462399 45594513 46670722 60005214 70006083 70924798 90007821 91189026 106387197 136783539 140012166 180015642 210018249 212774394 273567078 319161591 420036498 630054747 638323182 643389239 957484773 1260109494 1286778478 1914969546 1930167717 3860335434 4503724673 5790503151 9007449346 11581006302 13511174019 17371509453 27022348038 34743018906 40533522057 81067044114 121600566171 243201132342