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114223131105345 = 3352979369313517
BaseRepresentation
bin11001111110001010100101…
…001001111001100001000001
3112222102121212101210001212000
4121332022211021321201001
5104432412433030332340
61042533214303454213
733026230445602623
oct3176124511714101
9488377771701760
10114223131105345
1133438837799849
121098925b5b7369
134b9726c68cb32
14202c60141ac13
15d313146ecd30
hex67e2a5279841

114223131105345 has 64 divisors (see below), whose sum is σ = 212724586368000. Its totient is φ = 58073811763968.

The previous prime is 114223131105337. The next prime is 114223131105371. The reversal of 114223131105345 is 543501131322411.

114223131105345 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 3 + 1 + 3 + 110 + 534 + 5 = 666.

It is not a de Polignac number, because 114223131105345 - 23 = 114223131105337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184347474 + ... + 184966043.

It is an arithmetic number, because the mean of its divisors is an integer number (3323821662000).

Almost surely, 2114223131105345 is an apocalyptic number.

114223131105345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114223131105345 is a deficient number, since it is larger than the sum of its proper divisors (98501455262655).

114223131105345 is a wasteful number, since it uses less digits than its factorization.

114223131105345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369313639 (or 369313633 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 114223131105345 its reverse (543501131322411), we get a palindrome (657724262427756).

The spelling of 114223131105345 in words is "one hundred fourteen trillion, two hundred twenty-three billion, one hundred thirty-one million, one hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 29 45 79 87 135 145 237 261 395 435 711 783 1185 1305 2133 2291 3555 3915 6873 10665 11455 20619 34365 61857 103095 309285 369313517 1107940551 1846567585 3323821653 5539702755 9971464959 10710091993 16619108265 29175767843 32130275979 49857324795 53550459965 87527303529 96390827937 145878839215 160651379895 262581910587 289172483811 437636517645 481954139685 787745731761 846097267447 1312909552935 1445862419055 2538291802341 3938728658805 4230486337235 7614875407023 12691459011705 22844626221069 38074377035115 114223131105345