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14144107041 = 3229213672
BaseRepresentation
bin11010010110000110…
…11111001000100001
31100111201122002021100
431023003133020201
5212431342411131
610255301145013
71010334632451
oct151303371041
940451562240
1014144107041
115aa8a85a69
1228a89bb169
13144542670c
149826a9d61
1557baeb7e6
hex34b0df221

14144107041 has 27 divisors (see below), whose sum is σ = 21174655411. Its totient is φ = 9097592784.

The previous prime is 14144107001. The next prime is 14144107051. The reversal of 14144107041 is 14070144141.

The square root of 14144107041 is 118929.

It is a perfect power (a square), and thus also a powerful number.

14144107041 is a `hidden beast` number, since 141 + 4 + 410 + 70 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7416826641 + 6727280400 = 86121^2 + 82020^2 .

It is not a de Polignac number, because 14144107041 - 211 = 14144104993 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 = 14144106996 and 14144107014.

It is not an unprimeable number, because it can be changed into a prime (14144107001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10346140 + ... + 10347506.

Almost surely, 214144107041 is an apocalyptic number.

14144107041 is the 118929-th square number.

14144107041 is the 59465-th centered octagonal number.

It is an amenable number.

14144107041 is a deficient number, since it is larger than the sum of its proper divisors (7030548370).

14144107041 is an frugal number, since it uses more digits than its factorization.

14144107041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 14144107041 in words is "fourteen billion, one hundred forty-four million, one hundred seven thousand, forty-one".

Divisors: 1 3 9 29 87 261 841 1367 2523 4101 7569 12303 39643 118929 356787 1149647 1868689 3448941 5606067 10346823 16818201 54191981 162575943 487727829 1571567449 4714702347 14144107041