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114406223013 = 3331136686049
BaseRepresentation
bin110101010001100100…
…1000110110010100101
3101221022011111022001000
41222203021012302211
53333300443114023
6124320230223513
711160043564455
oct1524311066245
9357264438030
10114406223013
114457936a735
121a20a4b4b99
13aa3332b564
14577447bd65
152e98d60243
hex1aa3246ca5

114406223013 has 16 divisors (see below), whose sum is σ = 174958144000. Its totient is φ = 73810465920.

The previous prime is 114406222999. The next prime is 114406223039. The reversal of 114406223013 is 310322604411.

It is a happy number.

114406223013 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 622 + 30 + 1 + 3 = 666.

It is not a de Polignac number, because 114406223013 - 218 = 114405960869 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114406213013) 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 15 ways as a sum of consecutive naturals, for example, 68342188 + ... + 68343861.

It is an arithmetic number, because the mean of its divisors is an integer number (10934884000).

Almost surely, 2114406223013 is an apocalyptic number.

It is an amenable number.

114406223013 is a deficient number, since it is larger than the sum of its proper divisors (60551920987).

114406223013 is a wasteful number, since it uses less digits than its factorization.

114406223013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136686089 (or 136686083 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114406223013 its reverse (310322604411), we get a palindrome (424728827424).

The spelling of 114406223013 in words is "one hundred fourteen billion, four hundred six million, two hundred twenty-three thousand, thirteen".

Divisors: 1 3 9 27 31 93 279 837 136686049 410058147 1230174441 3690523323 4237267519 12711802557 38135407671 114406223013