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14431424101041 = 32931149301111927
BaseRepresentation
bin1101001000000001001111…
…1010000011101010110001
31220002122000202111001111110
43102000103322003222301
53342421024032213131
650405412114503533
73016431066612363
oct322002372035261
956078022431443
1014431424101041
114664372751222
121750aa6894ba9
13808b539c3acc
1437c6adc62d33
151a05db476646
hexd2013e83ab1

14431424101041 has 64 divisors (see below), whose sum is σ = 20694030336000. Its totient is φ = 8925494726400.

The previous prime is 14431424101019. The next prime is 14431424101063. The reversal of 14431424101041 is 14010142413441.

It is an interprime number because it is at equal distance from previous prime (14431424101019) and next prime (14431424101063).

It is not a de Polignac number, because 14431424101041 - 27 = 14431424100913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14431424106041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1209973420 + ... + 1209985346.

It is an arithmetic number, because the mean of its divisors is an integer number (323344224000).

Almost surely, 214431424101041 is an apocalyptic number.

It is an amenable number.

14431424101041 is a deficient number, since it is larger than the sum of its proper divisors (6262606234959).

14431424101041 is a wasteful number, since it uses less digits than its factorization.

14431424101041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15150.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 14431424101041 its reverse (14010142413441), we get a palindrome (28441566514482).

The spelling of 14431424101041 in words is "fourteen trillion, four hundred thirty-one billion, four hundred twenty-four million, one hundred one thousand, forty-one".

Divisors: 1 3 29 31 87 93 149 447 899 2697 3011 4321 4619 9033 11927 12963 13857 35781 87319 93341 133951 261957 280023 345883 369737 401853 448639 1037649 1109211 1345917 1777123 2706889 5331369 8120667 10722373 13010531 13907809 32167119 35912197 39031593 41723427 51536567 55090813 107736591 154609701 165272439 403326461 1041453713 1113278107 1209979383 1597633577 3124361139 3339834321 4792900731 5350917353 16052752059 32285065103 96855195309 155176603237 165878437943 465529809711 497635313829 4810474700347 14431424101041