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13454004144 = 243767597637
BaseRepresentation
bin11001000011110101…
…11100111110110000
31021201122002020001210
430201322330332300
5210023211113034
610103010000120
7654255101610
oct144172747660
937648066053
1013454004144
115784486499
122735876040
1313654710c9
14918b8aa40
1553b2318e9
hex321ebcfb0

13454004144 has 80 divisors (see below), whose sum is σ = 40314268928. Its totient is φ = 3786621696.

The previous prime is 13454004143. The next prime is 13454004149. The reversal of 13454004144 is 44140045431.

It is not an unprimeable number, because it can be changed into a prime (13454004143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276307 + ... + 321330.

Almost surely, 213454004144 is an apocalyptic number.

13454004144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13454004144 is an abundant number, since it is smaller than the sum of its proper divisors (26860264784).

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

13454004144 is a wasteful number, since it uses less digits than its factorization.

13454004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597722 (or 597716 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 13454004144 its reverse (44140045431), we get a palindrome (57594049575).

The spelling of 13454004144 in words is "thirteen billion, four hundred fifty-four million, four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 804 938 1072 1407 1608 1876 2814 3216 3752 5628 7504 11256 22512 597637 1195274 1792911 2390548 3585822 4183459 4781096 7171644 8366918 9562192 12550377 14343288 16733836 25100754 28686576 33467672 40041679 50201508 66935344 80083358 100403016 120125037 160166716 200806032 240250074 280291753 320333432 480500148 560583506 640666864 840875259 961000296 1121167012 1681750518 1922000592 2242334024 3363501036 4484668048 6727002072 13454004144