Search a number
-
+
42224808780 = 223257116149943
BaseRepresentation
bin100111010100110010…
…110111001101001100
311000222201102112101200
4213110302313031030
51142434022340110
631221532105500
73023240644530
oct472462671514
9130881375350
1042224808780
11169a8892890
128225005290
133c9bc8c06b
142087c65bc0
151171ea46c0
hex9d4cb734c

42224808780 has 288 divisors, whose sum is σ = 162307611648. Its totient is φ = 8629977600.

The previous prime is 42224808761. The next prime is 42224808793. The reversal of 42224808780 is 8780842224.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 820489 + ... + 870431.

It is an arithmetic number, because the mean of its divisors is an integer number (563568096).

Almost surely, 242224808780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42224808780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81153805824).

42224808780 is an abundant number, since it is smaller than the sum of its proper divisors (120082802868).

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

42224808780 is a wasteful number, since it uses less digits than its factorization.

42224808780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50037 (or 50032 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 42224808780 in words is "forty-two billion, two hundred twenty-four million, eight hundred eight thousand, seven hundred eighty".