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14431144232344 = 237461559000009
BaseRepresentation
bin1101001000000000001100…
…1110011100010110011000
31220002121022020212020211011
43102000003032130112120
53342414440410413334
650405324240143304
73016421131016560
oct322000316342630
956077266766734
1014431144232344
114664239777784
121750a29007b34
13808b0aa24128
1437c684a0dda0
151a05c1ae2564
hexd200339c598

14431144232344 has 32 divisors (see below), whose sum is σ = 30990960554400. Its totient is φ = 6171360088320.

The previous prime is 14431144232251. The next prime is 14431144232347. The reversal of 14431144232344 is 44323244113441.

It is a junction number, because it is equal to n+sod(n) for n = 14431144232297 and 14431144232306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14431144232347) 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 7 ways as a sum of consecutive naturals, for example, 279474189 + ... + 279525820.

It is an arithmetic number, because the mean of its divisors is an integer number (968467517325).

Almost surely, 214431144232344 is an apocalyptic number.

14431144232344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14431144232344 is an abundant number, since it is smaller than the sum of its proper divisors (16559816322056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14431144232344 is a wasteful number, since it uses less digits than its factorization.

14431144232344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559000483 (or 559000479 counting only the distinct ones).

The product of its digits is 442368, while the sum is 40.

Adding to 14431144232344 its reverse (44323244113441), we get a palindrome (58754388345785).

The spelling of 14431144232344 in words is "fourteen trillion, four hundred thirty-one billion, one hundred forty-four million, two hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 461 922 1844 3227 3688 6454 12908 25816 559000009 1118000018 2236000036 3913000063 4472000072 7826000126 15652000252 31304000504 257699004149 515398008298 1030796016596 1803893029043 2061592033192 3607786058086 7215572116172 14431144232344