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243134343431342 = 21121996917306339
BaseRepresentation
bin110111010010000100100000…
…001011000100010010101110
31011212212102020102200202122022
4313102010200023010102232
5223332003113404300332
62221034213031150142
7102132606454065056
oct6722044013042256
91155772212622568
10243134343431342
1170519772405500
1223329093815352
13a588616075b7c
144407a9d292566
151d19737826212
hexdd21202c44ae

243134343431342 has 48 divisors (see below), whose sum is σ = 403467784944000. Its totient is φ = 109801108731600.

The previous prime is 243134343431321. The next prime is 243134343431393.

243134343431342 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2431343434313422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243134343431293 and 243134343431302.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29624009 + ... + 36930347.

It is an arithmetic number, because the mean of its divisors is an integer number (8405578853000).

Almost surely, 2243134343431342 is an apocalyptic number.

243134343431342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

243134343431342 is a deficient number, since it is larger than the sum of its proper divisors (160333441512658).

243134343431342 is a wasteful number, since it uses less digits than its factorization.

243134343431342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7307253 (or 7307242 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 44.

The spelling of 243134343431342 in words is "two hundred forty-three trillion, one hundred thirty-four billion, three hundred forty-three million, four hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 11 22 121 199 242 398 691 1382 2189 4378 7601 15202 24079 48158 83611 137509 167222 275018 1512599 3025198 7306339 14612678 16638589 33277178 80369729 160739458 884067019 1453961461 1768134038 2907922922 5048680249 10097360498 15993576071 31987152142 55535482739 111070965478 175929336781 351858673562 610890310129 1004687369551 1221780620258 2009374739102 11051561065061 22103122130122 121567171715671 243134343431342