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42213410334 = 2353137411847
BaseRepresentation
bin100111010100000111…
…011000011000011110
311000221220222102200000
4213110013120120132
51142423113112314
631220443515130
73023042032104
oct472407303036
9130856872600
1042213410334
11169a2407a87
128221228aa6
133c997cab14
142086539c74
151170ea2209
hex9d41d861e

42213410334 has 192 divisors, whose sum is σ = 103064113152. Its totient is φ = 12919046400.

The previous prime is 42213410299. The next prime is 42213410347. The reversal of 42213410334 is 43301431224.

42213410334 is a `hidden beast` number, since 4 + 2 + 213 + 410 + 3 + 34 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42213410298 and 42213410307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22854199 + ... + 22856045.

It is an arithmetic number, because the mean of its divisors is an integer number (536792256).

Almost surely, 242213410334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42213410334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51532056576).

42213410334 is an abundant number, since it is smaller than the sum of its proper divisors (60850702818).

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

42213410334 is a wasteful number, since it uses less digits than its factorization.

42213410334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1961 counting only the distinct ones).

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

Adding to 42213410334 its reverse (43301431224), we get a palindrome (85514841558).

The spelling of 42213410334 in words is "forty-two billion, two hundred thirteen million, four hundred ten thousand, three hundred thirty-four".