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243213222312342 = 23237365185018487
BaseRepresentation
bin110111010011001101111101…
…101110000111100110010110
31011220010221211122020002111100
4313103031331232013212112
5223334301134402443332
62221134340055250530
7102141401243364132
oct6723157556074626
91156127748202440
10243213222312342
117054a16a492257
1223340428079a46
13a592ba6b44459
14440b8231923c2
151d1b80268b67c
hexdd337db87996

243213222312342 has 24 divisors (see below), whose sum is σ = 541204197399216. Its totient is φ = 78879963992976.

The previous prime is 243213222312299. The next prime is 243213222312407.

243213222312342 is a `hidden beast` number, since 2 + 4 + 321 + 322 + 2 + 3 + 1 + 2 + 3 + 4 + 2 = 666.

243213222312342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 243213222312297 and 243213222312306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182592508578 + ... + 182592509909.

It is an arithmetic number, because the mean of its divisors is an integer number (22550174891634).

Almost surely, 2243213222312342 is an apocalyptic number.

243213222312342 is an abundant number, since it is smaller than the sum of its proper divisors (297990975086874).

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

243213222312342 is a wasteful number, since it uses less digits than its factorization.

243213222312342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365185018532 (or 365185018529 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 243213222312342 in words is "two hundred forty-three trillion, two hundred thirteen billion, two hundred twenty-two million, three hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 365185018487 730370036974 1095555055461 2191110110922 3286665166383 6573330332766 13511845684019 27023691368038 40535537052057 81071074104114 121606611156171 243213222312342