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14004241432311 = 3132171624810469
BaseRepresentation
bin1100101111001001110111…
…0101011111111011110111
31211120210101122221001002010
43023302131311133323313
53313421141301313221
645441243143415303
72643526105053324
oct313623565377367
954523348831063
1014004241432311
11450a190220549
1216a2148154533
137a77958a8400
14365b478abb4b
15194438463c76
hexcbc9dd5fef7

14004241432311 has 24 divisors (see below), whose sum is σ = 21408502752720. Its totient is φ = 8111053856256.

The previous prime is 14004241432301. The next prime is 14004241432319. The reversal of 14004241432311 is 11323414240041.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-14004241432311 is a prime.

It is a super-2 number, since 2×140042414323112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004241432319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 812396616 + ... + 812413853.

It is an arithmetic number, because the mean of its divisors is an integer number (892020948030).

Almost surely, 214004241432311 is an apocalyptic number.

14004241432311 is a deficient number, since it is larger than the sum of its proper divisors (7404261320409).

14004241432311 is a wasteful number, since it uses less digits than its factorization.

14004241432311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624810515 (or 1624810502 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14004241432311 its reverse (11323414240041), we get a palindrome (25327655672352).

The spelling of 14004241432311 in words is "fourteen trillion, four billion, two hundred forty-one million, four hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 13 17 39 51 169 221 507 663 2873 8619 1624810469 4874431407 21122536097 27621777973 63367608291 82865333919 274592969261 359083113649 823778907783 1077249340947 4668080477437 14004241432311