Search a number
-
+
424442203352224 = 25314371577242887
BaseRepresentation
bin110000010000001110010011…
…0110000100010110010100000
32001122211021111221001010020221
41200200130212300202302200
5421113030113024232344
64102414020103412424
7155254636321312531
oct14040344660426240
92048737457033227
10424442203352224
11113270a22674892
123b72b8ab154114
13152aa9606541c5
1476b5180046688
153410ab09d0184
hex1820726c22ca0

424442203352224 has 192 divisors, whose sum is σ = 896622427717632. Its totient is φ = 197430176563200.

The previous prime is 424442203352191. The next prime is 424442203352303. The reversal of 424442203352224 is 422253302244424.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1747366909 + ... + 1747609795.

It is an arithmetic number, because the mean of its divisors is an integer number (4669908477696).

Almost surely, 2424442203352224 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 424442203352224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448311213858816).

424442203352224 is an abundant number, since it is smaller than the sum of its proper divisors (472180224365408).

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

424442203352224 is a wasteful number, since it uses less digits than its factorization.

424442203352224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243619 (or 243611 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 43.

Adding to 424442203352224 its reverse (422253302244424), we get a palindrome (846695505596648).

The spelling of 424442203352224 in words is "four hundred twenty-four trillion, four hundred forty-two billion, two hundred three million, three hundred fifty-two thousand, two hundred twenty-four".