Search a number
-
+
114320442312 = 2333529261307
BaseRepresentation
bin110101001111000000…
…1111000001111001000
3101221002012002012001000
41222132001320033020
53333112013123222
6124303523455000
711154652504116
oct1523601701710
9357065065030
10114320442312
1144534a0039a
121a1a5827460
13aa1b625c4b
145766d0cab6
152e915689ac
hex1a9e0783c8

114320442312 has 32 divisors (see below), whose sum is σ = 317556784800. Its totient is φ = 38106814032.

The previous prime is 114320442251. The next prime is 114320442319. The reversal of 114320442312 is 213244023411.

114320442312 is a `hidden beast` number, since 1 + 143 + 204 + 4 + 2 + 312 = 666.

It is a super-3 number, since 3×1143204423123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114320442319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264630438 + ... + 264630869.

It is an arithmetic number, because the mean of its divisors is an integer number (9923649525).

Almost surely, 2114320442312 is an apocalyptic number.

114320442312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114320442312 is an abundant number, since it is smaller than the sum of its proper divisors (203236342488).

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

114320442312 is a wasteful number, since it uses less digits than its factorization.

114320442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529261322 (or 529261312 counting only the distinct ones).

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

Adding to 114320442312 its reverse (213244023411), we get a palindrome (327564465723).

The spelling of 114320442312 in words is "one hundred fourteen billion, three hundred twenty million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 529261307 1058522614 1587783921 2117045228 3175567842 4234090456 4763351763 6351135684 9526703526 12702271368 14290055289 19053407052 28580110578 38106814104 57160221156 114320442312