Search a number
-
+
10442052221034 = 237304181756097
BaseRepresentation
bin1001011111110011101011…
…0100000011100001101010
31100222020202120110210100010
42113330322310003201222
52332040310332033114
634113002414152350
72125261534255650
oct227747264034152
940866676423303
1010442052221034
1133664a42894a5
1212078a61b26b6
135a98b1a78795
1428158026cdd0
1513194d59dc59
hex97f3ad0386a

10442052221034 has 32 divisors (see below), whose sum is σ = 23875396811136. Its totient is φ = 2982462382080.

The previous prime is 10442052221023. The next prime is 10442052221039. The reversal of 10442052221034 is 43012225024401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10442052220992 and 10442052221010.

It is not an unprimeable number, because it can be changed into a prime (10442052221039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40750327 + ... + 41005770.

It is an arithmetic number, because the mean of its divisors is an integer number (746106150348).

Almost surely, 210442052221034 is an apocalyptic number.

10442052221034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10442052221034 is an abundant number, since it is smaller than the sum of its proper divisors (13433344590102).

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

10442052221034 is a wasteful number, since it uses less digits than its factorization.

10442052221034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81759150.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 10442052221034 its reverse (43012225024401), we get a palindrome (53454277245435).

The spelling of 10442052221034 in words is "ten trillion, four hundred forty-two billion, fifty-two million, two hundred twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 3041 6082 9123 18246 21287 42574 63861 127722 81756097 163512194 245268291 490536582 572292679 1144585358 1716878037 3433756074 248620290977 497240581954 745860872931 1491721745862 1740342036839 3480684073678 5221026110517 10442052221034