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42343220304 = 24327114099337
BaseRepresentation
bin100111011011110110…
…100100010001010000
311001021222020110110200
4213123312210101100
51143204331022204
631241402055200
73026206301610
oct473366442120
9131258213420
1042343220304
1116a5970a150
1282587aa500
133cba67ac58
14209988aa40
15117c594539
hex9dbda4450

42343220304 has 240 divisors, whose sum is σ = 148120103040. Its totient is φ = 10970173440.

The previous prime is 42343220291. The next prime is 42343220383. The reversal of 42343220304 is 40302234324.

42343220304 is a `hidden beast` number, since 4 + 2 + 34 + 322 + 0 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4530324 + ... + 4539660.

It is an arithmetic number, because the mean of its divisors is an integer number (617167096).

Almost surely, 242343220304 is an apocalyptic number.

42343220304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42343220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74060051520).

42343220304 is an abundant number, since it is smaller than the sum of its proper divisors (105776882736).

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

42343220304 is a wasteful number, since it uses less digits than its factorization.

42343220304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9769 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42343220304 its reverse (40302234324), we get a palindrome (82645454628).

The spelling of 42343220304 in words is "forty-two billion, three hundred forty-three million, two hundred twenty thousand, three hundred four".