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243123340329 = 32417123094019
BaseRepresentation
bin1110001001101101000…
…1111100010000101001
3212020112200110100110100
43202123101330100221
512440404033342304
6303404520540013
723364552203202
oct3423321742051
9766480410410
10243123340329
1194120873041
123b151621609
1319c074ac3bc
14baa54005a9
1564ce265439
hex389b47c429

243123340329 has 48 divisors (see below), whose sum is σ = 365059094400. Its totient is φ = 155795539200.

The previous prime is 243123340289. The next prime is 243123340331. The reversal of 243123340329 is 923043321342.

243123340329 is a `hidden beast` number, since 2 + 4 + 312 + 334 + 0 + 3 + 2 + 9 = 666.

It is not a de Polignac number, because 243123340329 - 229 = 242586469417 is a prime.

It is a super-2 number, since 2×2431233403292 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243123340293 and 243123340302.

It is not an unprimeable number, because it can be changed into a prime (243123340729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60491482 + ... + 60495500.

It is an arithmetic number, because the mean of its divisors is an integer number (7605397800).

Almost surely, 2243123340329 is an apocalyptic number.

It is an amenable number.

243123340329 is a deficient number, since it is larger than the sum of its proper divisors (121935754071).

243123340329 is a wasteful number, since it uses less digits than its factorization.

243123340329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 243123340329 in words is "two hundred forty-three billion, one hundred twenty-three million, three hundred forty thousand, three hundred twenty-nine".

Divisors: 1 3 9 41 71 123 213 369 639 2309 2911 4019 6927 8733 12057 20781 26199 36171 94669 163939 164779 284007 285349 491817 494337 852021 856047 1475451 1483011 2568141 6721499 9279871 11699309 20164497 27839613 35097927 60493491 83518839 105293781 380474711 658870841 1141424133 1976612523 3424272399 5929837569 27013704481 81041113443 243123340329