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2234136314322 = 2321121025774249
BaseRepresentation
bin100000100000101100111…
…001101100000111010010
321220120200210121222101100
4200200230321230013102
5243101002344024242
64430203102445230
7320260660224243
oct40405471540722
97816623558340
102234136314322
11791545784200
12300ba7893816
131328a7b868b3
147a1c0494cca
153d1ad27a54c
hex2082ce6c1d2

2234136314322 has 36 divisors (see below), whose sum is σ = 5320691034750. Its totient is φ = 677011003680.

The previous prime is 2234136314321. The next prime is 2234136314329.

2234136314322 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 13 + 6 + 314 + 322 = 666.

2234136314322 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1967654258361 + 266482055961 = 1402731^2 + 516219^2 .

It is not an unprimeable number, because it can be changed into a prime (2234136314321) 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 17 ways as a sum of consecutive naturals, for example, 512884947 + ... + 512889302.

Almost surely, 22234136314322 is an apocalyptic number.

2234136314322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2234136314322 is an abundant number, since it is smaller than the sum of its proper divisors (3086554720428).

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

2234136314322 is a wasteful number, since it uses less digits than its factorization.

2234136314322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025774279 (or 1025774265 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 2234136314322 in words is "two trillion, two hundred thirty-four billion, one hundred thirty-six million, three hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 1025774249 2051548498 3077322747 6154645494 9231968241 11283516739 18463936482 22567033478 33850550217 67701100434 101551650651 124118684129 203103301302 248237368258 372356052387 744712104774 1117068157161 2234136314322