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14240255204241 = 3211592437982401
BaseRepresentation
bin1100111100111001000101…
…0110100101101110010001
31212102100120212110220011100
43033032101112211232101
53331303020313013431
650141514413535013
72666552541034053
oct317162126455621
955370525426140
1014240255204241
1145a0292902620
12171ba347a4469
137c3b0916aab1
1437333698d8d3
1519a64d46a4e6
hexcf3915a5b91

14240255204241 has 24 divisors (see below), whose sum is σ = 22819515282720. Its totient is φ = 8484178752000.

The previous prime is 14240255204159. The next prime is 14240255204243.

14240255204241 is a `hidden beast` number, since 1 + 4 + 2 + 402 + 5 + 5 + 2 + 0 + 4 + 241 = 666.

14240255204241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14240255204241 - 215 = 14240255171473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14240255204196 and 14240255204205.

It is not an unprimeable number, because it can be changed into a prime (14240255204243) 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 23 ways as a sum of consecutive naturals, for example, 1218985360 + ... + 1218997041.

It is an arithmetic number, because the mean of its divisors is an integer number (950813136780).

Almost surely, 214240255204241 is an apocalyptic number.

14240255204241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14240255204241 is a deficient number, since it is larger than the sum of its proper divisors (8579260078479).

14240255204241 is a wasteful number, since it uses less digits than its factorization.

14240255204241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437982477 (or 2437982474 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 1424025 and 5204241, that added together give a palindrome (6628266).

The spelling of 14240255204241 in words is "fourteen trillion, two hundred forty billion, two hundred fifty-five million, two hundred four thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 59 99 177 531 649 1947 5841 2437982401 7313947203 21941841609 26817806411 80453419233 143840961659 241360257699 431522884977 1294568654931 1582250578249 4746751734747 14240255204241