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10442134333141 = 72571811460189
BaseRepresentation
bin1001011111110011111110…
…1101010010011011010101
31100222020222021222111222021
42113330333231102123111
52332040442342130031
634113014510133141
72125263552226600
oct227747755223325
940866867874867
1010442134333141
113366536672545
1212079097b11b1
135a98c5a98324
1428158b125337
151319558bd511
hex97f3fb526d5

10442134333141 has 24 divisors (see below), whose sum is σ = 12183276225120. Its totient is φ = 8923689583200.

The previous prime is 10442134333129. The next prime is 10442134333151. The reversal of 10442134333141 is 14133343124401.

It is not a de Polignac number, because 10442134333141 - 25 = 10442134333109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10442134333097 and 10442134333106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442134333151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22460875 + ... + 22921063.

It is an arithmetic number, because the mean of its divisors is an integer number (507636509380).

Almost surely, 210442134333141 is an apocalyptic number.

It is an amenable number.

10442134333141 is a deficient number, since it is larger than the sum of its proper divisors (1741141891979).

10442134333141 is an equidigital number, since it uses as much as digits as its factorization.

10442134333141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461585 (or 461578 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 10442134333141 its reverse (14133343124401), we get a palindrome (24575477457542).

The spelling of 10442134333141 in words is "ten trillion, four hundred forty-two billion, one hundred thirty-four million, three hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 7 49 571 811 3997 5677 27979 39739 460189 463081 3221323 3241567 22549261 22690969 262767919 373213279 1839375433 2612492953 12875628031 18287450671 213104782309 1491733476163 10442134333141