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42910110720 = 2103351719312
BaseRepresentation
bin100111111101101001…
…000101010000000000
311002202110221110221000
4213331221011100000
51200334442020340
631413532332000
73046231631421
oct477551052000
9132673843830
1042910110720
111721a703324
128396614000
13407ac53379
142110c95648
1511b2221d30
hex9fda45400

42910110720 has 1056 divisors, whose sum is σ = 175622774400. Its totient is φ = 9873653760.

The previous prime is 42910110679. The next prime is 42910110721. The reversal of 42910110720 is 2701101924.

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 (42910110721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1384197105 + ... + 1384197135.

Almost surely, 242910110720 is an apocalyptic number.

42910110720 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 42910110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87811387200).

42910110720 is an abundant number, since it is smaller than the sum of its proper divisors (132712663680).

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

42910110720 is a wasteful number, since it uses less digits than its factorization.

42910110720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 42910110720 in words is "forty-two billion, nine hundred ten million, one hundred ten thousand, seven hundred twenty".