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42344331120 = 2434571371809
BaseRepresentation
bin100111011011111010…
…110011011101110000
311001022001022220020000
4213123322303131300
51143210122043440
631241441550000
73026221606260
oct473372633560
9131261286200
1042344331120
1116a5a2a8783
128259045300
133cba979740
142099a997a0
15117c713730
hex9dbeb3770

42344331120 has 400 divisors, whose sum is σ = 181009456320. Its totient is φ = 8934064128.

The previous prime is 42344331041. The next prime is 42344331151. The reversal of 42344331120 is 2113344324.

42344331120 is a `hidden beast` number, since 4 + 2 + 344 + 3 + 311 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 553776 + ... + 625584.

Almost surely, 242344331120 is an apocalyptic number.

42344331120 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 42344331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90504728160).

42344331120 is an abundant number, since it is smaller than the sum of its proper divisors (138665125200).

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

42344331120 is a wasteful number, since it uses less digits than its factorization.

42344331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71854 (or 71839 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42344331120 its reverse (2113344324), we get a palindrome (44457675444).

The spelling of 42344331120 in words is "forty-two billion, three hundred forty-four million, three hundred thirty-one thousand, one hundred twenty".