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10443144134401 = 1115972617227159
BaseRepresentation
bin1001011111110111101111…
…1001010111111100000001
31100222100120200002201212221
42113331323321113330001
52332100024344300101
634113303021451041
72125330563341566
oct227757371277401
940870520081787
1010443144134401
113366a04680140
121207b4ba10a81
135a9a27057774
142816452a486d
151319b4388aa1
hex97f7be57f01

10443144134401 has 16 divisors (see below), whose sum is σ = 11404060778880. Its totient is φ = 9484155434880.

The previous prime is 10443144134393. The next prime is 10443144134429.

10443144134401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10443144134401 - 23 = 10443144134393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10443144144401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45859260 + ... + 46086418.

It is an arithmetic number, because the mean of its divisors is an integer number (712753798680).

Almost surely, 210443144134401 is an apocalyptic number.

10443144134401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10443144134401 is a deficient number, since it is larger than the sum of its proper divisors (960916644479).

10443144134401 is a wasteful number, since it uses less digits than its factorization.

10443144134401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231384.

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 1044314 and 4134401, that added together give a palindrome (5178715).

The spelling of 10443144134401 in words is "ten trillion, four hundred forty-three billion, one hundred forty-four million, one hundred thirty-four thousand, four hundred one".

Divisors: 1 11 1597 2617 17567 28787 227159 2498749 4179349 45972839 362772923 594475103 3990502153 6539226133 949376739491 10443144134401