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42973444332 = 2232721319229179
BaseRepresentation
bin101000000001011010…
…101011100011101100
311002220220010011022100
4220001122223203230
51201002200204312
631424114015100
73050631151500
oct500132534354
9132826104270
1042973444332
1117252430855
1283b3877490
13408b0c9790
142119460300
1511b7a825dc
hexa016ab8ec

42973444332 has 648 divisors, whose sum is σ = 149404273200. Its totient is φ = 10308985344.

The previous prime is 42973444331. The next prime is 42973444333. The reversal of 42973444332 is 23344437924.

It is an interprime number because it is at equal distance from previous prime (42973444331) and next prime (42973444333).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1741824) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (42973444331) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 240075019 + ... + 240075197.

It is an arithmetic number, because the mean of its divisors is an integer number (230562150).

Almost surely, 242973444332 is an apocalyptic number.

42973444332 is a gapful number since it is divisible by the number (42) 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 42973444332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74702136600).

42973444332 is an abundant number, since it is smaller than the sum of its proper divisors (106430828868).

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

42973444332 is a wasteful number, since it uses less digits than its factorization.

42973444332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 252 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 45.

The spelling of 42973444332 in words is "forty-two billion, nine hundred seventy-three million, four hundred forty-four thousand, three hundred thirty-two".