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42022442000 = 24537111312083
BaseRepresentation
bin100111001000101110…
…111001010000010000
311000110121122020100202
4213020232321100100
51142030221121000
631145502434332
73015232602110
oct471056712020
9130417566322
1042022442000
1116904633710
1281892929a8
133c690866c6
142069029040
15115e32ddd5
hex9c8bb9410

42022442000 has 320 divisors, whose sum is σ = 127711254528. Its totient is φ = 12991680000.

The previous prime is 42022441973. The next prime is 42022442027. The reversal of 42022442000 is 24422024.

It is an interprime number because it is at equal distance from previous prime (42022441973) and next prime (42022442027).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20172959 + ... + 20175041.

Almost surely, 242022442000 is an apocalyptic number.

42022442000 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 42022442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63855627264).

42022442000 is an abundant number, since it is smaller than the sum of its proper divisors (85688812528).

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

42022442000 is a wasteful number, since it uses less digits than its factorization.

42022442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42022442000 its reverse (24422024), we get a palindrome (42046864024).

The spelling of 42022442000 in words is "forty-two billion, twenty-two million, four hundred forty-two thousand".