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11432144123411 = 1117193217603187
BaseRepresentation
bin1010011001011100000011…
…1000111011011000010011
31111110220100210001201001112
42212113000320323120103
52444301012343422121
640151504323523535
72256642121501004
oct246270070733023
944426323051045
1011432144123411
11370838835aa60
121347761b295ab
1364c07b3c395b
142b74668371ab
1514c59a05c75b
hexa65c0e3b613

11432144123411 has 16 divisors (see below), whose sum is σ = 13900045772160. Its totient is φ = 9266697175680.

The previous prime is 11432144123383. The next prime is 11432144123417.

11432144123411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11432144123411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11432144123417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1608798041 + ... + 1608805146.

It is an arithmetic number, because the mean of its divisors is an integer number (868752860760).

Almost surely, 211432144123411 is an apocalyptic number.

11432144123411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11432144123411 is a deficient number, since it is larger than the sum of its proper divisors (2467901648749).

11432144123411 is a wasteful number, since it uses less digits than its factorization.

11432144123411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217603234.

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 1143214 and 4123411, that added together give a palindrome (5266625).

The spelling of 11432144123411 in words is "eleven trillion, four hundred thirty-two billion, one hundred forty-four million, one hundred twenty-three thousand, four hundred eleven".

Divisors: 1 11 17 19 187 209 323 3553 3217603187 35393635057 54699254179 61134460553 601691795969 672479066083 1039285829401 11432144123411