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42231422016 = 2632731337873
BaseRepresentation
bin100111010101001100…
…000101110001000000
311001000011212112001100
4213111030011301000
51142442221001031
631222325534400
73023351110230
oct472514056100
9131004775040
1042231422016
1116a0159a473
128227274400
133ca0466214
142088aa7cc0
15117285dde6
hex9d5305c40

42231422016 has 168 divisors, whose sum is σ = 142804473344. Its totient is φ = 11676856320.

The previous prime is 42231422011. The next prime is 42231422027. The reversal of 42231422016 is 61022413224.

42231422016 is a `hidden beast` number, since 4 + 2 + 231 + 422 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-6 number, since 6×422314220166 (a number of 65 digits) contains 666666 as substring.

It is not an unprimeable number, because it can be changed into a prime (42231422011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43945 + ... + 293928.

Almost surely, 242231422016 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 42231422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71402236672).

42231422016 is an abundant number, since it is smaller than the sum of its proper divisors (100573051328).

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

42231422016 is a wasteful number, since it uses less digits than its factorization.

42231422016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337929 (or 337916 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 42231422016 in words is "forty-two billion, two hundred thirty-one million, four hundred twenty-two thousand, sixteen".