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14240233204241 = 112117687877721
BaseRepresentation
bin1100111100111001000000…
…0010101010101000010001
31212102100112100002011211112
43033032100002222220101
53331302444200013431
650141512310223105
72666552153035112
oct317162002525021
955370470064745
1014240233204241
1145a0281446700
12171ba29354a95
137c3b04737245
14373333aa4209
1519a64b571c2b
hexcf3900aaa11

14240233204241 has 6 divisors (see below), whose sum is σ = 15652487737026. Its totient is φ = 12945666549200.

The previous prime is 14240233204213. The next prime is 14240233204243.

It is a happy number.

14240233204241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 12333237920641 + 1906995283600 = 3511871^2 + 1380940^2 .

It is not a de Polignac number, because 14240233204241 - 226 = 14240166095377 is a prime.

It is a super-2 number, since 2×142402332042412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14240233204198 and 14240233204207.

It is not an unprimeable number, because it can be changed into a prime (14240233204243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58843938740 + ... + 58843938981.

It is an arithmetic number, because the mean of its divisors is an integer number (2608747956171).

Almost surely, 214240233204241 is an apocalyptic number.

14240233204241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14240233204241 is a deficient number, since it is larger than the sum of its proper divisors (1412254532785).

14240233204241 is a wasteful number, since it uses less digits than its factorization.

14240233204241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117687877743 (or 117687877732 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 1424023 and 3204241, that added together give a palindrome (4628264).

The spelling of 14240233204241 in words is "fourteen trillion, two hundred forty billion, two hundred thirty-three million, two hundred four thousand, two hundred forty-one".

Divisors: 1 11 121 117687877721 1294566654931 14240233204241