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10442443001441 = 1129139235503101
BaseRepresentation
bin1001011111110101001000…
…0110110000111001100001
31100222021202210210111021112
42113331102012300321201
52332042110402021231
634113105254033105
72125304320661303
oct227752206607141
940867683714245
1010442443001441
113366684927610
121207995048795
135a9944a0c7a9
142815ba113973
15131972a4092b
hex97f521b0e61

10442443001441 has 16 divisors (see below), whose sum is σ = 11869356340800. Its totient is φ = 9099839784000.

The previous prime is 10442443001327. The next prime is 10442443001447. The reversal of 10442443001441 is 14410034424401.

10442443001441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10442443001441 - 210 = 10442443000417 is a prime.

It is a super-3 number, since 3×104424430014413 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10442443001398 and 10442443001407.

It is not an unprimeable number, because it can be changed into a prime (10442443001447) 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, 117707210 + ... + 117795891.

It is an arithmetic number, because the mean of its divisors is an integer number (741834771300).

Almost surely, 210442443001441 is an apocalyptic number.

10442443001441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10442443001441 is a deficient number, since it is larger than the sum of its proper divisors (1426913339359).

10442443001441 is a wasteful number, since it uses less digits than its factorization.

10442443001441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235503280.

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 10442443001441 its reverse (14410034424401), we get a palindrome (24852477425842).

The spelling of 10442443001441 in words is "ten trillion, four hundred forty-two billion, four hundred forty-three million, one thousand, four hundred forty-one".

Divisors: 1 11 29 139 319 1529 4031 44341 235503101 2590534111 6829589929 32734931039 75125489219 360084241429 949313000131 10442443001441