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42278423040 = 29355721973
BaseRepresentation
bin100111010111111111…
…011000101000000000
311001010110022102100000
4213113333120220000
51143041234014130
631231125200000
73024461444400
oct472777305000
9131113272300
1042278423040
1116a26081a97
12823ab60000
133caa111589
142091020800
151176a45260
hex9d7fd8a00

42278423040 has 1440 divisors, whose sum is σ = 188479811520. Its totient is φ = 9029615616.

The previous prime is 42278423023. The next prime is 42278423051. The reversal of 42278423040 is 4032487224.

42278423040 is a `hidden beast` number, since 4 + 227 + 8 + 423 + 0 + 4 + 0 = 666.

42278423040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42278422986 and 42278423004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 579156444 + ... + 579156516.

It is an arithmetic number, because the mean of its divisors is an integer number (130888758).

Almost surely, 242278423040 is an apocalyptic number.

42278423040 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 42278423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94239905760).

42278423040 is an abundant number, since it is smaller than the sum of its proper divisors (146201388480).

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

42278423040 is an equidigital number, since it uses as much as digits as its factorization.

42278423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 42278423040 in words is "forty-two billion, two hundred seventy-eight million, four hundred twenty-three thousand, forty".