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235144352230344 = 233217192111398881
BaseRepresentation
bin110101011101110011001111…
…100101011110101111001000
31010211120120200012122000212100
4311131303033211132233020
5221310101113132332334
62152035454002313400
7100346422153335534
oct6535631745365710
91124516605560770
10235144352230344
1168a191836a7087
1222458673958860
13a12902bc301ab
14420d093dc6bc4
151c2b99e40ac99
hexd5dccf95ebc8

235144352230344 has 48 divisors (see below), whose sum is σ = 674311010075820. Its totient is φ = 73770777169920.

The previous prime is 235144352230331. The next prime is 235144352230409. The reversal of 235144352230344 is 443032253441532.

235144352230344 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 44 + 35 + 2 + 230 + 344 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 234701235681444 + 443116548900 = 15319962^2 + 665670^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 235144352230344.

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, 96055698217 + ... + 96055700664.

Almost surely, 2235144352230344 is an apocalyptic number.

235144352230344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

235144352230344 is an abundant number, since it is smaller than the sum of its proper divisors (439166657845476).

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

235144352230344 is a wasteful number, since it uses less digits than its factorization.

235144352230344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192111398910 (or 192111398903 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 45.

The spelling of 235144352230344 in words is "two hundred thirty-five trillion, one hundred forty-four billion, three hundred fifty-two million, two hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 192111398881 384222797762 576334196643 768445595524 1152668393286 1536891191048 1729002589929 2305336786572 3265893780977 3458005179858 4610673573144 6531787561954 6916010359716 9797681342931 13063575123908 13832020719432 19595362685862 26127150247816 29393044028793 39190725371724 58786088057586 78381450743448 117572176115172 235144352230344