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242243306420544 = 2633112131735314851
BaseRepresentation
bin110111000101000110101010…
…001110100111100101000000
31011202201020022112100201011000
4313011012222032213211000
5223222403242420424134
62215113012203452000
7102011333646340302
oct6705065216474500
91152636275321130
10242243306420544
117020589a228100
1223204461227000
13a5225a44abc90
1443b68d2409972
151d01487114e99
hexdc51aa3a7940

242243306420544 has 1344 divisors, whose sum is σ = 895167067818240. Its totient is φ = 63589515264000.

The previous prime is 242243306420543. The next prime is 242243306420573. The reversal of 242243306420544 is 445024603342242.

242243306420544 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 43 + 3 + 0 + 64 + 2 + 0 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 242243306420544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242243306420543) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16311574719 + ... + 16311589569.

It is an arithmetic number, because the mean of its divisors is an integer number (666046925460).

Almost surely, 2242243306420544 is an apocalyptic number.

242243306420544 is a gapful number since it is divisible by the number (24) 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 242243306420544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447583533909120).

242243306420544 is an abundant number, since it is smaller than the sum of its proper divisors (652923761397696).

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

242243306420544 is a wasteful number, since it uses less digits than its factorization.

242243306420544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15277 (or 15250 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 45.

Adding to 242243306420544 its reverse (445024603342242), we get a palindrome (687267909762786).

The spelling of 242243306420544 in words is "two hundred forty-two trillion, two hundred forty-three billion, three hundred six million, four hundred twenty thousand, five hundred forty-four".