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442312255320 = 23351331798689
BaseRepresentation
bin1100110111110111101…
…11010110011101011000
31120021200111112122111020
412123323313112131120
524221323414132240
6535110114402440
743645624064655
oct6337367263530
91507614478436
10442312255320
11160646812051
1271881590420
133292c767000
141759d8acc2c
15b78b3c30d0
hex66fbdd6758

442312255320 has 256 divisors, whose sum is σ = 1522036656000. Its totient is φ = 102471303168.

The previous prime is 442312255279. The next prime is 442312255321. The reversal of 442312255320 is 23552213244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442312255321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4432536 + ... + 4531224.

Almost surely, 2442312255320 is an apocalyptic number.

442312255320 is a gapful number since it is divisible by the number (40) 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 442312255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761018328000).

442312255320 is an abundant number, since it is smaller than the sum of its proper divisors (1079724400680).

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

442312255320 is a wasteful number, since it uses less digits than its factorization.

442312255320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98759 (or 98729 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 442312255320 its reverse (23552213244), we get a palindrome (465864468564).

The spelling of 442312255320 in words is "four hundred forty-two billion, three hundred twelve million, two hundred fifty-five thousand, three hundred twenty".