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14033200241440 = 255193454443013
BaseRepresentation
bin1100110000110101101111…
…1010100101101100100000
31211200120010212000222002101
43030031123322211230200
53314404443230211230
645502432503300144
72645602532633302
oct314153372455440
954616125028071
1014033200241440
1145204a0767456
1216a788a44a654
137aa42c340723
143672d3925972
15195080971aca
hexcc35bea5b20

14033200241440 has 48 divisors (see below), whose sum is σ = 33325215102648. Its totient is φ = 5584195731456.

The previous prime is 14033200241407. The next prime is 14033200241447. The reversal of 14033200241440 is 4414200233041.

14033200241440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11365609749264 + 2667590492176 = 3371292^2 + 1633276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14033200241399 and 14033200241408.

It is not an unprimeable number, because it can be changed into a prime (14033200241447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227190627 + ... + 227252386.

Almost surely, 214033200241440 is an apocalyptic number.

14033200241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14033200241440 is an abundant number, since it is smaller than the sum of its proper divisors (19292014861208).

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

14033200241440 is a wasteful number, since it uses less digits than its factorization.

14033200241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454443221 (or 454443213 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14033200241440 its reverse (4414200233041), we get a palindrome (18447400474481).

The spelling of 14033200241440 in words is "fourteen trillion, thirty-three billion, two hundred million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 193 386 772 965 1544 1930 3088 3860 6176 7720 15440 30880 454443013 908886026 1817772052 2272215065 3635544104 4544430130 7271088208 9088860260 14542176416 18177720520 36355441040 72710882080 87707501509 175415003018 350830006036 438537507545 701660012072 877075015090 1403320024144 1754150030180 2806640048288 3508300060360 7016600120720 14033200241440