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114301442232 = 233225112375113
BaseRepresentation
bin110101001110011100…
…1011001100010111000
3101221000212022212211100
41222130321121202320
53333042132122412
6124302004331400
711154332141235
oct1523471314270
9357025285740
10114301442232
114452520334a
121a19b3a3b60
13aa177029b3
1457645a478c
152e8ea63edc
hex1a9ce598b8

114301442232 has 96 divisors (see below), whose sum is σ = 311111826480. Its totient is φ = 37910592000.

The previous prime is 114301442209. The next prime is 114301442257. The reversal of 114301442232 is 232244103411.

114301442232 is a `hidden beast` number, since 1 + 1 + 430 + 1 + 4 + 4 + 223 + 2 = 666.

It is a super-3 number, since 3×1143014422323 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114301442196 and 114301442205.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22352508 + ... + 22357620.

Almost surely, 2114301442232 is an apocalyptic number.

114301442232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114301442232 is an abundant number, since it is smaller than the sum of its proper divisors (196810384248).

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

114301442232 is a wasteful number, since it uses less digits than its factorization.

114301442232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114301442232 its reverse (232244103411), we get a palindrome (346545545643).

The spelling of 114301442232 in words is "one hundred fourteen billion, three hundred one million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 251 502 753 1004 1237 1506 2008 2259 2474 3012 3711 4518 4948 5113 6024 7422 9036 9896 10226 11133 14844 15339 18072 20452 22266 29688 30678 40904 44532 46017 61356 89064 92034 122712 184068 310487 368136 620974 931461 1241948 1283363 1862922 2483896 2566726 2794383 3725844 3850089 5133452 5588766 6324781 7451688 7700178 10266904 11177532 11550267 12649562 15400356 18974343 22355064 23100534 25299124 30800712 37948686 46201068 50598248 56923029 75897372 92402136 113846058 151794744 227692116 455384232 1587520031 3175040062 4762560093 6350080124 9525120186 12700160248 14287680279 19050240372 28575360558 38100480744 57150721116 114301442232