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114142353105241 = 1496012269561761
BaseRepresentation
bin11001111100111111010110…
…011010010010000101011001
3112222010220100211201111100101
4121330333112122102011121
5104430102014343331431
61042432134554535401
733020340626123266
oct3174772632220531
9488126324644311
10114142353105241
113340755570877a
1210975677137561
134b8c768308936
14202873b20226d
15d2e187ca0961
hex67cfd6692159

114142353105241 has 16 divisors (see below), whose sum is σ = 115150536522000. Its totient is φ = 113137565184000.

The previous prime is 114142353105223. The next prime is 114142353105349. The reversal of 114142353105241 is 142501353241411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 843465907216 + 113298887198025 = 918404^2 + 10644195^2 .

It is a cyclic number.

It is not a de Polignac number, because 114142353105241 - 27 = 114142353105113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114142353105241.

It is not an unprimeable number, because it can be changed into a prime (114142353105541) 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, 202905801 + ... + 203467561.

It is an arithmetic number, because the mean of its divisors is an integer number (7196908532625).

Almost surely, 2114142353105241 is an apocalyptic number.

It is an amenable number.

114142353105241 is a deficient number, since it is larger than the sum of its proper divisors (1008183416759).

114142353105241 is a wasteful number, since it uses less digits than its factorization.

114142353105241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564780.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 114142353105241 in words is "one hundred fourteen trillion, one hundred forty-two billion, three hundred fifty-three million, one hundred five thousand, two hundred forty-one".

Divisors: 1 149 601 2269 89549 338081 561761 1363669 83702389 203186681 337618361 1274635709 50305135789 189920720641 766056061109 114142353105241