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14688224418 = 2372972112441
BaseRepresentation
bin11011010110111110…
…01000010010100010
31101220122111002222210
431223133020102202
5220040141140133
610425255342550
71026662563500
oct155337102242
941818432883
1014688224418
11625813544a
122a1b081a56
13150108746a
149d4a67670
155ae77b763
hex36b7c84a2

14688224418 has 96 divisors (see below), whose sum is σ = 34702734528. Its totient is φ = 4131993600.

The previous prime is 14688224393. The next prime is 14688224423. The reversal of 14688224418 is 81442288641.

14688224418 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 47 ways as a sum of consecutive naturals, for example, 6016078 + ... + 6018518.

It is an arithmetic number, because the mean of its divisors is an integer number (361486818).

Almost surely, 214688224418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14688224418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17351367264).

14688224418 is an abundant number, since it is smaller than the sum of its proper divisors (20014510110).

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

14688224418 is a wasteful number, since it uses less digits than its factorization.

14688224418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2761 counting only the distinct ones).

The product of its digits is 786432, while the sum is 48.

The spelling of 14688224418 in words is "fourteen billion, six hundred eighty-eight million, two hundred twenty-four thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 49 97 98 147 194 211 291 294 422 582 633 679 1266 1358 1477 2037 2441 2954 4074 4431 4753 4882 7323 8862 9506 10339 14259 14646 17087 20467 20678 28518 31017 34174 40934 51261 61401 62034 102522 119609 122802 143269 236777 239218 286538 358827 429807 473554 515051 710331 717654 859614 1002883 1030102 1420662 1545153 1657439 2005766 3008649 3090306 3314878 3605357 4972317 6017298 7210714 9944634 10816071 11602073 21632142 23204146 25237499 34806219 49959947 50474998 69612438 75712497 99919894 149879841 151424994 299759682 349719629 699439258 1049158887 2098317774 2448037403 4896074806 7344112209 14688224418