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11201413144041 = 3615365450129
BaseRepresentation
bin1010001100000000100001…
…0000000101110111101001
31110122211210202000112000000
42203000020100011313221
52432010443231102131
635453505210133213
72234163313515651
oct243001020056751
943584722015000
1011201413144041
11362954677714a
12130aaaa721209
1363339a444623
142aa2191cb361
15146593c1cce6
hexa3008405de9

11201413144041 has 14 divisors (see below), whose sum is σ = 16794436992090. Its totient is φ = 7467608762208.

The previous prime is 11201413144013. The next prime is 11201413144067. The reversal of 11201413144041 is 14044131410211.

11201413144041 is a `hidden beast` number, since 1 + 1 + 201 + 4 + 13 + 1 + 440 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10839766064400 + 361647079641 = 3292380^2 + 601371^2 .

It is not a de Polignac number, because 11201413144041 - 214 = 11201413127657 is a prime.

It is a super-2 number, since 2×112014131440412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11201413143996 and 11201413144014.

It is not an unprimeable number, because it can be changed into a prime (11201413144241) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7682724336 + ... + 7682725793.

Almost surely, 211201413144041 is an apocalyptic number.

It is an amenable number.

11201413144041 is a deficient number, since it is larger than the sum of its proper divisors (5593023848049).

11201413144041 is an frugal number, since it uses more digits than its factorization.

11201413144041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15365450147 (or 15365450132 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11201413144041 its reverse (14044131410211), we get a palindrome (25245544554252).

The spelling of 11201413144041 in words is "eleven trillion, two hundred one billion, four hundred thirteen million, one hundred forty-four thousand, forty-one".

Divisors: 1 3 9 27 81 243 729 15365450129 46096350387 138289051161 414867153483 1244601460449 3733804381347 11201413144041