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42230942208 = 2932713261127
BaseRepresentation
bin100111010101001010…
…010000101000000000
311001000010222010212200
4213111022100220000
51142442110122313
631222311353200
73023344041330
oct472512205000
9131003863780
1042230942208
1116a012a1a34
128227082800
133ca0328a00
1420889c10c0
1511727b6b73
hex9d5290a00

42230942208 has 720 divisors, whose sum is σ = 154511824896. Its totient is φ = 10868981760.

The previous prime is 42230942197. The next prime is 42230942227. The reversal of 42230942208 is 80224903224.

42230942208 is a `hidden beast` number, since 4 + 223 + 0 + 9 + 422 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 332527041 + ... + 332527167.

Almost surely, 242230942208 is an apocalyptic number.

42230942208 is a gapful number since it is divisible by the number (48) 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 42230942208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77255912448).

42230942208 is an abundant number, since it is smaller than the sum of its proper divisors (112280882688).

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

42230942208 is a wasteful number, since it uses less digits than its factorization.

42230942208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 42230942208 in words is "forty-two billion, two hundred thirty million, nine hundred forty-two thousand, two hundred eight".