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42880239360 = 2832575379127
BaseRepresentation
bin100111111011110111…
…001000011100000000
311002200101201212010100
4213323313020130000
51200304320124420
631410544202400
73045420010050
oct477367103400
9132611655110
1042880239360
1117204860552
128388609400
1340749c4aca
14210ad1b560
1511ae7c1190
hex9fbdc8700

42880239360 has 864 divisors, whose sum is σ = 176319037440. Its totient is φ = 9419784192.

The previous prime is 42880239341. The next prime is 42880239371. The reversal of 42880239360 is 6393208824.

42880239360 is a `hidden beast` number, since 4 + 288 + 0 + 2 + 3 + 9 + 360 = 666.

42880239360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 337639617 + ... + 337639743.

It is an arithmetic number, because the mean of its divisors is an integer number (204072960).

Almost surely, 242880239360 is an apocalyptic number.

42880239360 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 42880239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88159518720).

42880239360 is an abundant number, since it is smaller than the sum of its proper divisors (133438798080).

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

42880239360 is a wasteful number, since it uses less digits than its factorization.

42880239360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 42880239360 in words is "forty-two billion, eight hundred eighty million, two hundred thirty-nine thousand, three hundred sixty".