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42344011222110 = 23351389500927061
BaseRepresentation
bin10011010000010111110111…
…01111110100110001011110
312112221001021221120121211000
421220023323233310301132
521022231013333101420
6230020323055411130
711630153033511153
oct1150137357646136
9175831257517730
1042344011222110
1112545aa3479794
1248ba677823aa6
131a8203ba605a0
14a656652b022a
154d66e90d0690
hex2682fbbf4c5e

42344011222110 has 256 divisors, whose sum is σ = 122998738464000. Its totient is φ = 10303589007360.

The previous prime is 42344011222109. The next prime is 42344011222111. The reversal of 42344011222110 is 1122211044324.

42344011222110 is a `hidden beast` number, since 4 + 2 + 3 + 440 + 1 + 1 + 2 + 2 + 211 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42344011222109) and next prime (42344011222111).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42344011222111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1564747980 + ... + 1564775040.

It is an arithmetic number, because the mean of its divisors is an integer number (480463822125).

Almost surely, 242344011222110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42344011222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61499369232000).

42344011222110 is an abundant number, since it is smaller than the sum of its proper divisors (80654727241890).

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

42344011222110 is a wasteful number, since it uses less digits than its factorization.

42344011222110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32188 (or 32182 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42344011222110 its reverse (1122211044324), we get a palindrome (43466222266434).

The spelling of 42344011222110 in words is "forty-two trillion, three hundred forty-four billion, eleven million, two hundred twenty-two thousand, one hundred ten".