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14241142097 = 7213217101161
BaseRepresentation
bin11010100001101011…
…01001010101010001
31100202111012222100022
431100311221111101
5213131213021342
610313045033225
71012623465500
oct152065512521
940674188308
1014241142097
116048831926
1229153b5815
13145c56c800
14991528837
155853b79d2
hex350d69551

14241142097 has 36 divisors (see below), whose sum is σ = 18993974796. Its totient is φ = 10604805120.

The previous prime is 14241142073. The next prime is 14241142099. The reversal of 14241142097 is 79024114241.

It can be written as a sum of positive squares in 6 ways, for example, as 1731856 + 14239410241 = 1316^2 + 119329^2 .

It is not a de Polignac number, because 14241142097 - 210 = 14241141073 is a prime.

It is a super-3 number, since 3×142411420973 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14241142099) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90197 + ... + 191357.

It is an arithmetic number, because the mean of its divisors is an integer number (527610411).

Almost surely, 214241142097 is an apocalyptic number.

14241142097 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

14241142097 is a deficient number, since it is larger than the sum of its proper divisors (4752832699).

14241142097 is a wasteful number, since it uses less digits than its factorization.

14241142097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101218 (or 101198 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 14241142097 in words is "fourteen billion, two hundred forty-one million, one hundred forty-two thousand, ninety-seven".

Divisors: 1 7 13 17 49 91 119 169 221 637 833 1183 1547 2873 8281 10829 20111 101161 140777 708127 1315093 1719737 4956889 9205651 12038159 17096209 22356581 64439557 84267113 119673463 156496067 290635553 837714241 1095472469 2034448871 14241142097