Search a number
-
+
42440908608 = 26337219233137
BaseRepresentation
bin100111100001101011…
…001101111101000000
311001112210001112122000
4213201223031331000
51143404333033413
631255211544000
73031503525300
oct474153157500
9131483045560
1042440908608
1116aa987188a
12828545b000
134004992497
1420a8839600
151185e3e073
hex9e1acdf40

42440908608 has 1344 divisors, whose sum is σ = 169010380800. Its totient is φ = 10346434560.

The previous prime is 42440908607. The next prime is 42440908673. The reversal of 42440908608 is 80680904424.

42440908608 is a `hidden beast` number, since 42 + 440 + 90 + 86 + 0 + 8 = 666.

42440908608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42440908607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1147051566 + ... + 1147051602.

Almost surely, 242440908608 is an apocalyptic number.

42440908608 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 42440908608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84505190400).

42440908608 is an abundant number, since it is smaller than the sum of its proper divisors (126569472192).

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

42440908608 is a wasteful number, since it uses less digits than its factorization.

42440908608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 122 counting only the distinct ones).

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

The spelling of 42440908608 in words is "forty-two billion, four hundred forty million, nine hundred eight thousand, six hundred eight".