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14234022033040 = 2451571133282009
BaseRepresentation
bin1100111100100001110111…
…0100111011011010010000
31212101202111110122222201201
43033020131310323122100
53331202234120024130
650135004111240544
72666242222664215
oct317103564733220
955352443588651
1014234022033040
1145986843a2867
12171a795219154
137c33549a2504
14372d04c05b0c
1519a3d6124bca
hexcf21dd3b690

14234022033040 has 40 divisors (see below), whose sum is σ = 33304891709880. Its totient is φ = 5657343783936.

The previous prime is 14234022033001. The next prime is 14234022033047. The reversal of 14234022033040 is 4033022043241.

It can be written as a sum of positive squares in 4 ways, for example, as 236756203776 + 13997265829264 = 486576^2 + 3741292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (14234022033047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566628445 + ... + 566653564.

It is an arithmetic number, because the mean of its divisors is an integer number (832622292747).

Almost surely, 214234022033040 is an apocalyptic number.

14234022033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14234022033040 is an abundant number, since it is smaller than the sum of its proper divisors (19070869676840).

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

14234022033040 is a wasteful number, since it uses less digits than its factorization.

14234022033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133282179 (or 1133282173 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 14234022033040 its reverse (4033022043241), we get a palindrome (18267044076281).

The spelling of 14234022033040 in words is "fourteen trillion, two hundred thirty-four billion, twenty-two million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 1133282009 2266564018 4533128036 5666410045 9066256072 11332820090 18132512144 22665640180 45331280360 90662560720 177925275413 355850550826 711701101652 889626377065 1423402203304 1779252754130 2846804406608 3558505508260 7117011016520 14234022033040