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42314322341324 = 22111039336787807
BaseRepresentation
bin10011001111100000100100…
…01001101110110111001100
312112211012122212201012202202
421213300102021232313030
521021234213004410244
6225554533055541032
711625052232262335
oct1147602211566714
9175735585635682
1042314322341324
1112534448914180
1248b4970b2a778
131a7c2b9c8a3c7
14a6404a2d128c
154d5a5c96004e
hex267c1226edcc

42314322341324 has 24 divisors (see below), whose sum is σ = 81566178290688. Its totient is φ = 19047047124240.

The previous prime is 42314322341321. The next prime is 42314322341441.

42314322341324 is nontrivially palindromic in base 10.

42314322341324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42314322341321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4668389372 + ... + 4668398435.

It is an arithmetic number, because the mean of its divisors is an integer number (3398590762112).

Almost surely, 242314322341324 is an apocalyptic number.

42314322341324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42314322341324 is a deficient number, since it is larger than the sum of its proper divisors (39251855949364).

42314322341324 is a wasteful number, since it uses less digits than its factorization.

42314322341324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336787925 (or 9336787923 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 4231432 and 2341324, that added together give a palindrome (6572756).

The spelling of 42314322341324 in words is "forty-two trillion, three hundred fourteen billion, three hundred twenty-two million, three hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 103 206 412 1133 2266 4532 9336787807 18673575614 37347151228 102704665877 205409331754 410818663508 961689144121 1923378288242 3846756576484 10578580585331 21157161170662 42314322341324