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14101441431 = 3721161142963
BaseRepresentation
bin11010010001000001…
…01110101110010111
31100101202100110001120
431020200232232113
5212334432111211
610251134455023
71006306163100
oct151040565627
940352313046
1014101441431
115a86994730
122896664473
1314396387ac
1497ab613a7
15577ebed06
hex34882eb97

14101441431 has 48 divisors (see below), whose sum is σ = 24251269248. Its totient is φ = 7205284800.

The previous prime is 14101441339. The next prime is 14101441439. The reversal of 14101441431 is 13414410141.

14101441431 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 14101441431 - 219 = 14100917143 is a prime.

It is a super-2 number, since 2×141014414312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101441439) 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 47 ways as a sum of consecutive naturals, for example, 27156 + ... + 170118.

It is an arithmetic number, because the mean of its divisors is an integer number (505234776).

Almost surely, 214101441431 is an apocalyptic number.

14101441431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14101441431 is a deficient number, since it is larger than the sum of its proper divisors (10149827817).

14101441431 is a wasteful number, since it uses less digits than its factorization.

14101441431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143052 (or 143045 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14101441431 its reverse (13414410141), we get a palindrome (27515851572).

The spelling of 14101441431 in words is "fourteen billion, one hundred one million, four hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 11 21 33 49 61 77 147 183 231 427 539 671 1281 1617 2013 2989 4697 8967 14091 32879 98637 142963 428889 1000741 1572593 3002223 4717779 7005187 8720743 11008151 21015561 26162229 33024453 61045201 77057057 95928173 183135603 231171171 287784519 427316407 671497211 1281949221 2014491633 4700480477 14101441431