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14454443344 = 2411197335897
BaseRepresentation
bin11010111011000110…
…10100110101010000
31101022100120210122111
431131203110311100
5214100314141334
610350144515104
71021123512145
oct153543246520
941270523574
1014454443344
11614817a250
12297491ba94
131494803173
149b19b03cc
15598e9d064
hex35d8d4d50

14454443344 has 80 divisors (see below), whose sum is σ = 32208742080. Its totient is φ = 6214855680.

The previous prime is 14454443327. The next prime is 14454443369. The reversal of 14454443344 is 44334445441.

14454443344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14454443297 and 14454443306.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2448204 + ... + 2454100.

It is an arithmetic number, because the mean of its divisors is an integer number (402609276).

Almost surely, 214454443344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14454443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104371040).

14454443344 is an abundant number, since it is smaller than the sum of its proper divisors (17754298736).

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

14454443344 is a wasteful number, since it uses less digits than its factorization.

14454443344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6668 (or 6662 counting only the distinct ones).

The product of its digits is 737280, while the sum is 40.

Adding to 14454443344 its reverse (44334445441), we get a palindrome (58788888785).

The spelling of 14454443344 in words is "fourteen billion, four hundred fifty-four million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 733 836 1466 1672 2932 3344 5864 5897 8063 11728 11794 13927 16126 23588 27854 32252 47176 55708 64504 64867 94352 111416 112043 129008 129734 153197 222832 224086 259468 306394 448172 518936 612788 896344 1037872 1225576 1232473 1792688 2451152 2464946 4322501 4929892 8645002 9859784 17290004 19719568 34580008 47547511 69160016 82127519 95095022 164255038 190190044 328510076 380380088 657020152 760760176 903402709 1314040304 1806805418 3613610836 7227221672 14454443344