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42442263360 = 26365724779
BaseRepresentation
bin100111100001110000…
…011000101101000000
311001112212121101000000
4213201300120231000
51143410204411420
631255301000000
73031521200100
oct474160305500
9131485541000
1042442263360
1116aaa607712
1282859b3000
134005048003
1420a8aad200
15118610a690
hex9e1c18b40

42442263360 has 1176 divisors, whose sum is σ = 182297710080. Its totient is φ = 9374496768.

The previous prime is 42442263337. The next prime is 42442263361. The reversal of 42442263360 is 6336224424.

42442263360 is a `hidden beast` number, since 424 + 4 + 226 + 3 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42442263361) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 537243801 + ... + 537243879.

Almost surely, 242442263360 is an apocalyptic number.

42442263360 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 42442263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91148855040).

42442263360 is an abundant number, since it is smaller than the sum of its proper divisors (139855446720).

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

42442263360 is an equidigital number, since it uses as much as digits as its factorization.

42442263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 42442263360 its reverse (6336224424), we get a palindrome (48778487784).

The spelling of 42442263360 in words is "forty-two billion, four hundred forty-two million, two hundred sixty-three thousand, three hundred sixty".