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14424041331 = 337191463863
BaseRepresentation
bin11010110111011110…
…10110011101110011
31101020020101012221000
431123233112131303
5214020023310311
610343141133043
71020304220430
oct153357263563
941206335830
1014424041331
116131aa4817
1229666ba183
13148b41a1cb
149ab938b87
15596495056
hex35bbd6773

14424041331 has 64 divisors (see below), whose sum is σ = 24631050240. Its totient is φ = 8171966880.

The previous prime is 14424041299. The next prime is 14424041339. The reversal of 14424041331 is 13314042441.

14424041331 is a `hidden beast` number, since 1 + 4 + 4 + 240 + 413 + 3 + 1 = 666.

It is not a de Polignac number, because 14424041331 - 25 = 14424041299 is a prime.

It is a super-2 number, since 2×144240413312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14424041295 and 14424041304.

It is not an unprimeable number, because it can be changed into a prime (14424041339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16713406 + ... + 16714268.

It is an arithmetic number, because the mean of its divisors is an integer number (384860160).

Almost surely, 214424041331 is an apocalyptic number.

14424041331 is a deficient number, since it is larger than the sum of its proper divisors (10207008909).

14424041331 is a wasteful number, since it uses less digits than its factorization.

14424041331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14424041331 its reverse (13314042441), we get a palindrome (27738083772).

The spelling of 14424041331 in words is "fourteen billion, four hundred twenty-four million, forty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 191 463 573 863 1337 1389 1719 2589 3241 4011 4167 5157 6041 7767 9723 12033 12501 18123 23301 29169 36099 54369 87507 88433 163107 164833 265299 399569 494499 619031 795897 1153831 1198707 1483497 1857093 2387691 2796983 3461493 3596121 4450491 5571279 8390949 10384479 10788363 16713837 25172847 31153437 75518541 76317679 228953037 534223753 686859111 1602671259 2060577333 4808013777 14424041331