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14113444431141 = 3211212960004069
BaseRepresentation
bin1100110101100000101011…
…0101111000010100100101
31211222020021012122011101100
43031120022311320110211
53322213313233244031
650003343222550313
72654443211200236
oct315301265702445
954866235564340
1014113444431141
114551529498900
1216bb343b98399
137b4b79c32393
1436b146ca708d
151971ca5c7de6
hexcd60ad78525

14113444431141 has 18 divisors (see below), whose sum is σ = 22407847037030. Its totient is φ = 8553602684880.

The previous prime is 14113444431127. The next prime is 14113444431157.

14113444431141 is a `hidden beast` number, since 1 + 4 + 11 + 34 + 44 + 431 + 141 = 666.

14113444431141 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 13742746108641 + 370698322500 = 3707121^2 + 608850^2 .

It is not a de Polignac number, because 14113444431141 - 26 = 14113444431077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14113444431096 and 14113444431105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14113444432141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6480000946 + ... + 6480003123.

Almost surely, 214113444431141 is an apocalyptic number.

14113444431141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14113444431141 is a deficient number, since it is larger than the sum of its proper divisors (8294402605889).

14113444431141 is a wasteful number, since it uses less digits than its factorization.

14113444431141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12960004097 (or 12960004083 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

It can be divided in two parts, 1411344 and 4431141, that added together give a palindrome (5842485).

The spelling of 14113444431141 in words is "fourteen trillion, one hundred thirteen billion, four hundred forty-four million, four hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 12960004069 38880012207 116640036621 142560044759 427680134277 1283040402831 1568160492349 4704481477047 14113444431141