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BaseRepresentation
bin100001101011011001011…
…100001000000011010100
322012020201100211102010021
4201223121130020003110
5300404232122343012
64531105431234524
7326130341052316
oct41533134100324
98166640742107
102314340434132
11812562927541
1231464bb18a44
1313a31a388c5c
148002c3a57b6
1540304619007

2314340434132 has 72 divisors (see below), whose sum is σ = 4389316941240. Its totient is φ = 1067141038080.

The previous prime is 2314340434103. The next prime is 2314340434139.

2314340434132 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 209531400516 + 2104809033616 = 457746^2 + 1450796^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314340434139) 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 23 ways as a sum of consecutive naturals, for example, 47090532 + ... + 47139652.

It is an arithmetic number, because the mean of its divisors is an integer number (60962735295).

Almost surely, 22314340434132 is an apocalyptic number.

It is an amenable number.

2314340434132 is a deficient number, since it is larger than the sum of its proper divisors (2074976507108).

2314340434132 is a wasteful number, since it uses less digits than its factorization.

2314340434132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49981 (or 49962 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 2314340 and 434132, that added together give a palindrome (2748472).

The spelling of 2314340434132 in words is "two trillion, three hundred fourteen billion, three hundred forty million, four hundred thirty-four thousand, one hundred thirty-two".