Search a number
-
+
42343440048 = 24327137940903
BaseRepresentation
bin100111011011110111…
…011001111010110000
311001021222122121220100
4213123313121322300
51143204410040143
631241410512400
73026211205350
oct473367317260
9131258577810
1042343440048
1116a5984a258
128258895700
133cba726c90
142099906b60
15117c5d96d3
hex9dbdd9eb0

42343440048 has 240 divisors, whose sum is σ = 147699435520. Its totient is φ = 11025870336.

The previous prime is 42343440023. The next prime is 42343440089. The reversal of 42343440048 is 84004434324.

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

It is a junction number, because it is equal to n+sod(n) for n = 42343439994 and 42343440021.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014765 + ... + 1055667.

Almost surely, 242343440048 is an apocalyptic number.

42343440048 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 42343440048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73849717760).

42343440048 is an abundant number, since it is smaller than the sum of its proper divisors (105355995472).

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

42343440048 is a wasteful number, since it uses less digits than its factorization.

42343440048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41016 (or 41007 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 42343440048 in words is "forty-two billion, three hundred forty-three million, four hundred forty thousand, forty-eight".