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442130055420 = 223529796774751
BaseRepresentation
bin1100110111100010000…
…00010100000011111100
31120021012210200221012210
412123301000110003330
524220440243233140
6535040045300420
743641252314634
oct6336100240374
91507183627183
10442130055420
11160562987619
1271830564710
1332900aa2a11
14175836016c4
15b77a3d2d80
hex66f10140fc

442130055420 has 192 divisors, whose sum is σ = 1299052339200. Its totient is φ = 112205184000.

The previous prime is 442130055379. The next prime is 442130055487. The reversal of 442130055420 is 24550031244.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 93058045 + ... + 93062795.

It is an arithmetic number, because the mean of its divisors is an integer number (6765897600).

Almost surely, 2442130055420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442130055420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649526169600).

442130055420 is an abundant number, since it is smaller than the sum of its proper divisors (856922283780).

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

442130055420 is a wasteful number, since it uses less digits than its factorization.

442130055420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548 (or 5546 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 442130055420 its reverse (24550031244), we get a palindrome (466680086664).

The spelling of 442130055420 in words is "four hundred forty-two billion, one hundred thirty million, fifty-five thousand, four hundred twenty".