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42312442234104 = 23337349787910177
BaseRepresentation
bin10011001111011101000100…
…00101101100010011111000
312112211000210211221212112000
421213232202011230103320
521021221340202442404
6225554022334421000
711624654522524230
oct1147564205542370
9175730724855460
1042312442234104
1112533673615859
1248b4527361760
131a7c07a600223
14a63d0c724cc0
154d599c881339
hex267ba216c4f8

42312442234104 has 256 divisors, whose sum is σ = 134740435200000. Its totient is φ = 12051915153408.

The previous prime is 42312442234099. The next prime is 42312442234163. The reversal of 42312442234104 is 40143224421324.

42312442234104 is a `hidden beast` number, since 4 + 2 + 3 + 12 + 4 + 4 + 223 + 410 + 4 = 666.

42312442234104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4157648664 + ... + 4157658840.

It is an arithmetic number, because the mean of its divisors is an integer number (526329825000).

Almost surely, 242312442234104 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 42312442234104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67370217600000).

42312442234104 is an abundant number, since it is smaller than the sum of its proper divisors (92427992965896).

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

42312442234104 is a wasteful number, since it uses less digits than its factorization.

42312442234104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18427 (or 18417 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 42312442234104 its reverse (40143224421324), we get a palindrome (82455666655428).

The spelling of 42312442234104 in words is "forty-two trillion, three hundred twelve billion, four hundred forty-two million, two hundred thirty-four thousand, one hundred four".