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243148535305434 = 2321137149487457393
BaseRepresentation
bin110111010010010001101110…
…000100110001010011011010
31011212220202212111012122222200
4313102101232010301103122
5223332221200014233214
62221044521200231030
7102133621242035223
oct6722215604612332
91155822774178880
10243148535305434
1170524795346570
122332b99460b476
13a589a683554c5
14440864803424a
151d19cb870ad09
hexdd246e1314da

243148535305434 has 192 divisors, whose sum is σ = 595430386387200. Its totient is φ = 71062470236160.

The previous prime is 243148535305411. The next prime is 243148535305453. The reversal of 243148535305434 is 434503535841342.

243148535305434 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 4 + 8 + 53 + 530 + 54 + 3 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 531367842 + ... + 531825234.

It is an arithmetic number, because the mean of its divisors is an integer number (3101199929100).

Almost surely, 2243148535305434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243148535305434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297715193193600).

243148535305434 is an abundant number, since it is smaller than the sum of its proper divisors (352281851081766).

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

243148535305434 is a wasteful number, since it uses less digits than its factorization.

243148535305434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458085 (or 458082 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 243148535305434 in words is "two hundred forty-three trillion, one hundred forty-eight billion, five hundred thirty-five million, three hundred five thousand, four hundred thirty-four".