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2323441334214 = 23272111371259459
BaseRepresentation
bin100001110011110111111…
…001010011011111000110
322020010012121210001000200
4201303313321103133012
5301031401440143324
64535212455151330
7326602020324600
oct41636771233706
98203177701020
102323441334214
11816403074470
1231636b975546
1313b13aa06630
1480652d64170
15406885c6ec9
hex21cf7e537c6

2323441334214 has 288 divisors, whose sum is σ = 6976725799680. Its totient is φ = 549220694400.

The previous prime is 2323441334191. The next prime is 2323441334231. The reversal of 2323441334214 is 4124331443232.

2323441334214 is a `hidden beast` number, since 2 + 3 + 23 + 4 + 413 + 3 + 4 + 214 = 666.

It is a super-3 number, since 3×23234413342143 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8825217 + ... + 9084675.

It is an arithmetic number, because the mean of its divisors is an integer number (24224742360).

Almost surely, 22323441334214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323441334214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488362899840).

2323441334214 is an abundant number, since it is smaller than the sum of its proper divisors (4653284465466).

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

2323441334214 is a wasteful number, since it uses less digits than its factorization.

2323441334214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259576 (or 259566 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 2323441334214 its reverse (4124331443232), we get a palindrome (6447772777446).

The spelling of 2323441334214 in words is "two trillion, three hundred twenty-three billion, four hundred forty-one million, three hundred thirty-four thousand, two hundred fourteen".