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14120054133024 = 253723913564579
BaseRepresentation
bin1100110101111001010011…
…0011111001000100100000
31211222212022211221210210210
43031132110303321010200
53322320332324224044
650010355135454120
72655066050553150
oct315362463710440
954885284853723
1014120054133024
1145543104a3744
121700689687340
137b5691412998
1436b5b2a66760
151974659e81b9
hexcd794cf9120

14120054133024 has 96 divisors (see below), whose sum is σ = 44201908638720. Its totient is φ = 3858896777472.

The previous prime is 14120054132993. The next prime is 14120054133077. The reversal of 14120054133024 is 42033145002141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14120054132982 and 14120054133000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456766834 + ... + 456797745.

It is an arithmetic number, because the mean of its divisors is an integer number (460436548320).

Almost surely, 214120054133024 is an apocalyptic number.

14120054133024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14120054133024 is an abundant number, since it is smaller than the sum of its proper divisors (30081854505696).

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

14120054133024 is a wasteful number, since it uses less digits than its factorization.

14120054133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913564622 (or 913564614 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14120054133024 its reverse (42033145002141), we get a palindrome (56153199135165).

The spelling of 14120054133024 in words is "fourteen trillion, one hundred twenty billion, fifty-four million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 913564579 1827129158 2740693737 3654258316 5481387474 6394952053 7308516632 10962774948 12789904106 14617033264 19184856159 21011985317 21925549896 25579808212 29234066528 38369712318 42023970634 43851099792 51159616424 63035955951 76739424636 84047941268 87702199584 102319232848 126071911902 147083897219 153478849272 168095882536 204638465696 252143823804 294167794438 306957698544 336191765072 441251691657 504287647608 588335588876 613915397088 672383530144 882503383314 1008575295216 1176671177752 1765006766628 2017150590432 2353342355504 3530013533256 4706684711008 7060027066512 14120054133024