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42296042880 = 273257131931137
BaseRepresentation
bin100111011001000010…
…100110010110000000
311001011200110121012200
4213121002212112000
51143110241333010
631232554553200
73025064301240
oct473102462600
9131150417180
1042296042880
1116a35017043
128244a38800
133cb0970510
1420934c9b20
151178375cc0
hex9d90a6580

42296042880 has 1536 divisors, whose sum is σ = 196748697600. Its totient is φ = 8121876480.

The previous prime is 42296042869. The next prime is 42296042903. The reversal of 42296042880 is 8824069224.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 308730172 + ... + 308730308.

It is an arithmetic number, because the mean of its divisors is an integer number (128091600).

Almost surely, 242296042880 is an apocalyptic number.

42296042880 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 42296042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98374348800).

42296042880 is an abundant number, since it is smaller than the sum of its proper divisors (154452654720).

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

42296042880 is a wasteful number, since it uses less digits than its factorization.

42296042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 42296042880 in words is "forty-two billion, two hundred ninety-six million, forty-two thousand, eight hundred eighty".