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10441625201345 = 5132163202937363
BaseRepresentation
bin1001011111110010000101…
…0111000110101011000001
31100222012122210221221110002
42113330201113012223001
52332033422022420340
634112452201445345
72125245130540412
oct227744127065301
940865583857402
1010441625201345
1133662a5239268
1212077a71a0855
135a9844466900
1428153d673809
15131925d4e715
hex97f215c6ac1

10441625201345 has 48 divisors (see below), whose sum is σ = 13658266722240. Its totient is φ = 7659451507968.

The previous prime is 10441625201341. The next prime is 10441625201347. The reversal of 10441625201345 is 54310252614401.

10441625201345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10441625201345 - 22 = 10441625201341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10441625201299 and 10441625201308.

It is not an unprimeable number, because it can be changed into a prime (10441625201341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279445634 + ... + 279482996.

It is an arithmetic number, because the mean of its divisors is an integer number (284547223380).

Almost surely, 210441625201345 is an apocalyptic number.

It is an amenable number.

10441625201345 is a deficient number, since it is larger than the sum of its proper divisors (3216641520895).

10441625201345 is a wasteful number, since it uses less digits than its factorization.

10441625201345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39586 (or 39573 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 10441625201345 its reverse (54310252614401), we get a palindrome (64751877815746).

The spelling of 10441625201345 in words is "ten trillion, four hundred forty-one billion, six hundred twenty-five million, two hundred one thousand, three hundred forty-five".

Divisors: 1 5 13 65 163 169 815 845 2029 2119 10145 10595 26377 27547 37363 131885 137735 186815 330727 342901 485719 1653635 1714505 2428595 4299451 6090169 6314347 21497255 30450845 31571735 55892863 75809527 79172197 279464315 379047635 395860985 985523851 1029238561 4927619255 5146192805 12356952901 12811810063 61784764505 64059050315 160640387713 803201938565 2088325040269 10441625201345