Search a number
-
+
34441342224331 = 782918341323597
BaseRepresentation
bin1111101010010111111111…
…11110000000011111001011
311111221120010100122102112211
413311023333332000133023
514003241332102134311
6201130044552445551
710153206365405530
oct765137776003713
9144846110572484
1034441342224331
11aa79544890069
123a42b679a98b7
13162aa5ca28643
14870d8140cd87
153ead71de5821
hex1f52fff807cb

34441342224331 has 16 divisors (see below), whose sum is σ = 39411285186240. Its totient is φ = 29483841179520.

The previous prime is 34441342224319. The next prime is 34441342224371. The reversal of 34441342224331 is 13342224314443.

It is a happy number.

It is not a de Polignac number, because 34441342224331 - 27 = 34441342224203 is a prime.

It is a super-2 number, since 2×344413422243312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34441342224371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106271025 + ... + 106594621.

It is an arithmetic number, because the mean of its divisors is an integer number (2463205324140).

Almost surely, 234441342224331 is an apocalyptic number.

34441342224331 is a deficient number, since it is larger than the sum of its proper divisors (4969942961909).

34441342224331 is a wasteful number, since it uses less digits than its factorization.

34441342224331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342774.

The product of its digits is 663552, while the sum is 40.

Adding to 34441342224331 its reverse (13342224314443), we get a palindrome (47783566538774).

The spelling of 34441342224331 in words is "thirty-four trillion, four hundred forty-one billion, three hundred forty-two million, two hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 7 829 5803 18341 128387 323597 2265179 15204689 106432823 268261913 1877833391 5935092577 41545648039 4920191746333 34441342224331