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234240443014401 = 321929371493855079
BaseRepresentation
bin110101010000101001011010…
…011001011101110100000001
31010201101011112012222012111100
4311100221122121131310001
5221200243411402430101
62150104323551005013
7100224212353641135
oct6520513231356401
91121334465865440
10234240443014401
11686aa8a549a50a
122233144a509769
13a091a185ba475
1441bb42575d3c5
151c131e8adce86
hexd50a5a65dd01

234240443014401 has 96 divisors (see below), whose sum is σ = 378647893728000. Its totient is φ = 138886119396864.

The previous prime is 234240443014397. The next prime is 234240443014441. The reversal of 234240443014401 is 104410344042432.

234240443014401 is a `hidden beast` number, since 2 + 3 + 4 + 240 + 4 + 4 + 3 + 0 + 1 + 4 + 401 = 666.

It is not a de Polignac number, because 234240443014401 - 22 = 234240443014397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234240443014441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273512580 + ... + 274367658.

It is an arithmetic number, because the mean of its divisors is an integer number (3944248893000).

Almost surely, 2234240443014401 is an apocalyptic number.

It is an amenable number.

234240443014401 is a deficient number, since it is larger than the sum of its proper divisors (144407450713599).

234240443014401 is a wasteful number, since it uses less digits than its factorization.

234240443014401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856663 (or 856660 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 234240443014401 its reverse (104410344042432), we get a palindrome (338650787056833).

The spelling of 234240443014401 in words is "two hundred thirty-four trillion, two hundred forty billion, four hundred forty-three million, fourteen thousand, four hundred one".

Divisors: 1 3 9 19 29 37 57 87 111 171 261 333 551 703 1073 1493 1653 2109 3219 4479 4959 6327 9657 13437 20387 28367 43297 55241 61161 85101 129891 165723 183483 255303 389673 497169 822643 855079 1049579 1601989 2467929 2565237 3148737 4805967 7403787 7695711 9446211 14417901 16246501 24797291 30437791 31637923 48739503 74391873 91313373 94913769 146218509 223175619 273940119 284741307 471148529 601120537 917499767 1276632947 1413445587 1803361611 2752499301 3829898841 4240336761 5410084833 8257497903 11489696523 17432495573 24256025993 37022355463 47235419039 52297486719 72768077979 111067066389 141706257117 156892460157 218304233937 333201199167 425118771351 703424753797 897472961741 1369827152131 2110274261391 2692418885223 4109481456393 6330822784173 8077256655669 12328444369179 26026715890489 78080147671467 234240443014401