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42443533440 = 27345741131
BaseRepresentation
bin100111100001110101…
…001110110010000000
311001112221222220020000
4213201311032302000
51143411021032230
631255344120000
73031535040000
oct474165166200
9131487886200
1042443533440
11170002a4970
128286306000
1340053a1139
1420a8d20000
1511862abb60
hex9e1d4ec80

42443533440 has 1600 divisors, whose sum is σ = 199122865920. Its totient is φ = 8534937600.

The previous prime is 42443533427. The next prime is 42443533487. The reversal of 42443533440 is 4433534424.

42443533440 is a `hidden beast` number, since 42 + 4 + 43 + 533 + 4 + 40 = 666.

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 = 42443533395 and 42443533404.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1369146225 + ... + 1369146255.

Almost surely, 242443533440 is an apocalyptic number.

42443533440 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 42443533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99561432960).

42443533440 is an abundant number, since it is smaller than the sum of its proper divisors (156679332480).

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

42443533440 is an equidigital number, since it uses as much as digits as its factorization.

42443533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

The spelling of 42443533440 in words is "forty-two billion, four hundred forty-three million, five hundred thirty-three thousand, four hundred forty".