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114230235240513 = 32737443269341077
BaseRepresentation
bin11001111110010001001100…
…100110000001100001000001
3112222110022012111110112020100
4121332101030212001201001
5104433022010210144023
61042540351242033013
733026601501006150
oct3176211446014101
9488408174415210
10114230235240513
11334408528a9737
121098a7027a8769
134b97b32426802
14202cab6b23597
15d315cd236c43
hex67e44c981841

114230235240513 has 96 divisors (see below), whose sum is σ = 194181024450816. Its totient is φ = 63341810348544.

The previous prime is 114230235240497. The next prime is 114230235240523. The reversal of 114230235240513 is 315042532032411.

114230235240513 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 3 + 0 + 235 + 2 + 405 + 13 = 666.

It is not a de Polignac number, because 114230235240513 - 24 = 114230235240497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114230235240523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2780860131 + ... + 2780901207.

It is an arithmetic number, because the mean of its divisors is an integer number (2022719004696).

Almost surely, 2114230235240513 is an apocalyptic number.

It is an amenable number.

114230235240513 is a deficient number, since it is larger than the sum of its proper divisors (79950789210303).

114230235240513 is a wasteful number, since it uses less digits than its factorization.

114230235240513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44263 (or 44260 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 114230235240513 its reverse (315042532032411), we get a palindrome (429272767272924).

The spelling of 114230235240513 in words is "one hundred fourteen trillion, two hundred thirty billion, two hundred thirty-five million, two hundred forty thousand, five hundred thirteen".

Divisors: 1 3 7 9 21 37 63 111 259 333 443 777 1329 2331 2693 3101 3987 8079 9303 16391 18851 24237 27909 41077 49173 56553 99641 114737 123231 147519 169659 287539 298923 344211 369693 697487 862617 896769 1032633 1192999 1519849 2092461 2587851 3578997 4559547 6277383 8350993 10638943 10736991 13678641 18197111 25052979 31916829 44140963 54591333 75158937 95750487 110620361 127379777 132422889 163773999 308986741 331861083 382139331 397268667 673293107 774342527 926960223 995583249 1146417993 2019879321 2323027581 2780880669 4092953357 4713051749 6059637963 6969082743 12278860071 14139155247 28650673499 36836580213 42417465741 49004819923 85952020497 147014459769 257856061491 343033739461 441043379307 1029101218383 1813178337151 3087303655149 5439535011453 12692248360057 16318605034359 38076745080171 114230235240513