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542421403344 = 2432311011279473
BaseRepresentation
bin1111110010010101101…
…01011100011011010000
31220212002021120021200100
413321022311130123100
532341334334401334
61053103541052400
754121464566202
oct7711265343320
91825067507610
10542421403344
1119a048817727
128915b9b7100
133c1c4a71082
141c379222772
15e199ebcc99
hex7e4ad5c6d0

542421403344 has 240 divisors, whose sum is σ = 1595139047424. Its totient is φ = 171859968000.

The previous prime is 542421403291. The next prime is 542421403361. The reversal of 542421403344 is 443304124245.

542421403344 is a `hidden beast` number, since 5 + 4 + 242 + 1 + 403 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 542421403299 and 542421403308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57254992 + ... + 57264464.

Almost surely, 2542421403344 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 542421403344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797569523712).

542421403344 is an abundant number, since it is smaller than the sum of its proper divisors (1052717644080).

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

542421403344 is a wasteful number, since it uses less digits than its factorization.

542421403344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9746 (or 9737 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 542421403344 its reverse (443304124245), we get a palindrome (985725527589).

The spelling of 542421403344 in words is "five hundred forty-two billion, four hundred twenty-one million, four hundred three thousand, three hundred forty-four".