Search a number
-
+
442735537244 = 2271113318094409
BaseRepresentation
bin1100111000101010001…
…10000010110001011100
31120022210000000121010112
412130111012002301130
524223210244142434
6535220115025152
743662253655030
oct6342506026134
91508700017115
10442735537244
1116084373a020
127197b29b1b8
133299936a7a0
14175ddbb41c0
15b7b3634dce
hex6715182c5c

442735537244 has 192 divisors, whose sum is σ = 1075402137600. Its totient is φ = 153863884800.

The previous prime is 442735537243. The next prime is 442735537297.

442735537244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4427355372442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442735537192 and 442735537201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442735537241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 100414112 + ... + 100418520.

It is an arithmetic number, because the mean of its divisors is an integer number (5601052800).

Almost surely, 2442735537244 is an apocalyptic number.

442735537244 is a gapful number since it is divisible by the number (44) 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 442735537244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537701068800).

442735537244 is an abundant number, since it is smaller than the sum of its proper divisors (632666600356).

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

442735537244 is a wasteful number, since it uses less digits than its factorization.

442735537244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284 (or 5282 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 50.

It can be divided in two parts, 442735 and 537244, that added together give a palindrome (979979).

The spelling of 442735537244 in words is "four hundred forty-two billion, seven hundred thirty-five million, five hundred thirty-seven thousand, two hundred forty-four".