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42423915072 = 26371117592861
BaseRepresentation
bin100111100000101010…
…011001001001000000
311001111121002011212210
4213200222121021000
51143341010240242
631253403422120
73031206220410
oct474052311100
9131447064783
1042423915072
1116aa0215340
12827b824940
1340012c2636
1420a6494640
1511846d3d9c
hex9e0a99240

42423915072 has 448 divisors, whose sum is σ = 150739937280. Its totient is φ = 10191667200.

The previous prime is 42423915071. The next prime is 42423915109. The reversal of 42423915072 is 27051932424.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 42423915072.

It is not an unprimeable number, because it can be changed into a prime (42423915071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14826922 + ... + 14829782.

Almost surely, 242423915072 is an apocalyptic number.

42423915072 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 42423915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75369968640).

42423915072 is an abundant number, since it is smaller than the sum of its proper divisors (108316022208).

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

42423915072 is a wasteful number, since it uses less digits than its factorization.

42423915072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 42423915072 in words is "forty-two billion, four hundred twenty-three million, nine hundred fifteen thousand, seventy-two".