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242542412343 = 33711532201189
BaseRepresentation
bin1110000111100010100…
…1111000001000110111
3212012001012100011002000
43201320221320020313
512433211324143333
6303231125350343
723344266326460
oct3417051701067
9765035304060
10242542412343
1193952961270
123b00ab683b3
1319b4403072a
14ba4c1bdd67
156498263713
hex3878a78237

242542412343 has 64 divisors (see below), whose sum is σ = 456438758400. Its totient is φ = 123618718080.

The previous prime is 242542412269. The next prime is 242542412353. The reversal of 242542412343 is 343214245242.

242542412343 is a `hidden beast` number, since 2 + 42 + 542 + 41 + 2 + 34 + 3 = 666.

242542412343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242542412343 - 225 = 242508857911 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242542412298 and 242542412307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242542412353) 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 63 ways as a sum of consecutive naturals, for example, 990408 + ... + 1210781.

It is an arithmetic number, because the mean of its divisors is an integer number (7131855600).

Almost surely, 2242542412343 is an apocalyptic number.

242542412343 is a deficient number, since it is larger than the sum of its proper divisors (213896346057).

242542412343 is a wasteful number, since it uses less digits than its factorization.

242542412343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201269 (or 2201263 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 242542412343 its reverse (343214245242), we get a palindrome (585756657585).

The spelling of 242542412343 in words is "two hundred forty-two billion, five hundred forty-two million, four hundred twelve thousand, three hundred forty-three".

Divisors: 1 3 7 9 11 21 27 33 53 63 77 99 159 189 231 297 371 477 583 693 1113 1431 1749 2079 3339 4081 5247 10017 12243 15741 36729 110187 2201189 6603567 15408323 19810701 24213079 46224969 59432103 72639237 116663017 138674907 169491553 217917711 349989051 416024721 508474659 653753133 816641119 1049967153 1283293187 1525423977 2449923357 3149901459 3849879561 4576271931 7349770071 8983052309 11549638683 22049310213 26949156927 34648916049 80847470781 242542412343