Search a number
-
+
12443040511 = 1119149399571
BaseRepresentation
bin10111001011010100…
…11011101011111111
31012010011202221200021
423211222123223333
5200440404244021
65414413313011
7620231046016
oct134552335377
935104687607
1012443040511
115305854560
1224b3195767
131233b95885
148607c7a7d
154cc5d6c41
hex2e5a9baff

12443040511 has 16 divisors (see below), whose sum is σ = 14384592000. Its totient is φ = 10644544800.

The previous prime is 12443040487. The next prime is 12443040517. The reversal of 12443040511 is 11504034421.

It is not a de Polignac number, because 12443040511 - 25 = 12443040479 is a prime.

It is a super-2 number, since 2×124430405112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443040517) 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, 168645 + ... + 230926.

It is an arithmetic number, because the mean of its divisors is an integer number (899037000).

Almost surely, 212443040511 is an apocalyptic number.

12443040511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12443040511 is a deficient number, since it is larger than the sum of its proper divisors (1941551489).

12443040511 is a wasteful number, since it uses less digits than its factorization.

12443040511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399750.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 12443040511 its reverse (11504034421), we get a palindrome (23947074932).

The spelling of 12443040511 in words is "twelve billion, four hundred forty-three million, forty thousand, five hundred eleven".

Divisors: 1 11 19 149 209 1639 2831 31141 399571 4395281 7591849 59536079 83510339 654896869 1131185501 12443040511