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14202220241 = 112712297219
BaseRepresentation
bin11010011101000010…
…01010111011010001
31100122202222112121002
431032201022323101
5213041232021431
610305134511345
71011641610626
oct151641127321
940582875532
1014202220241
116028868300
122904365555
131454492921
1498a2b634d
15581c7a3cb
hex34e84aed1

14202220241 has 24 divisors (see below), whose sum is σ = 15901905600. Its totient is φ = 12671920800.

The previous prime is 14202220237. The next prime is 14202220321.

14202220241 is nontrivially palindromic in base 10.

14202220241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14202220241 - 22 = 14202220237 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14202220231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1963730 + ... + 1970948.

It is an arithmetic number, because the mean of its divisors is an integer number (662579400).

Almost surely, 214202220241 is an apocalyptic number.

14202220241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14202220241 is a deficient number, since it is larger than the sum of its proper divisors (1699685359).

14202220241 is a wasteful number, since it uses less digits than its factorization.

14202220241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7541 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 14202220241 in words is "fourteen billion, two hundred two million, two hundred twenty thousand, two hundred forty-one".

Divisors: 1 11 71 121 229 781 2519 7219 8591 16259 27709 79409 178849 512549 873499 1653151 1967339 5638039 18184661 62018429 117373721 200031271 1291110931 14202220241