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14430103314 = 23114320832441
BaseRepresentation
bin11010111000001100…
…11110011100010010
31101020122210012101220
431130012132130102
5214023101301224
610343515105510
71020406566024
oct153406363422
941218705356
1014430103314
116135465220
122968742296
13148c760493
149ac676014
15596c91279
hex35c19e712

14430103314 has 64 divisors (see below), whose sum is σ = 32244715008. Its totient is φ = 4267267200.

The previous prime is 14430103307. The next prime is 14430103333. The reversal of 14430103314 is 41330103441.

14430103314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5910334 + ... + 5912774.

It is an arithmetic number, because the mean of its divisors is an integer number (503823672).

Almost surely, 214430103314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430103314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16122357504).

14430103314 is an abundant number, since it is smaller than the sum of its proper divisors (17814611694).

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

14430103314 is a wasteful number, since it uses less digits than its factorization.

14430103314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14430103314 its reverse (41330103441), we get a palindrome (55760206755).

The spelling of 14430103314 in words is "fourteen billion, four hundred thirty million, one hundred three thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2083 2441 2838 4166 4882 6249 7323 12498 14646 22913 26851 45826 53702 68739 80553 89569 104963 137478 161106 179138 209926 268707 314889 537414 629778 985259 1154593 1970518 2309186 2955777 3463779 5084603 5911554 6927558 10169206 15253809 30507618 55930633 111861266 167791899 218637929 335583798 437275858 655913787 1311827574 2405017219 4810034438 7215051657 14430103314