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9042034314141 = 341092617391337
BaseRepresentation
bin1000001110010100001100…
…1111100100101110011101
31012000102001220210020020000
42003211003033210232131
52141121041241023031
631121504143444513
71622160016355133
oct203450317445635
935012056706200
109042034314141
112976783710524
1210204a6bb6739
1350787754211a
142338cb521753
1510a30daa33e6
hex839433e4b9d

9042034314141 has 40 divisors (see below), whose sum is σ = 13636399586040. Its totient is φ = 5970422380032.

The previous prime is 9042034314133. The next prime is 9042034314143. The reversal of 9042034314141 is 1414134302409.

9042034314141 is a `hidden beast` number, since 9 + 0 + 4 + 203 + 4 + 31 + 414 + 1 = 666.

9042034314141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6613018553241 + 2429015760900 = 2571579^2 + 1558530^2 .

It is not a de Polignac number, because 9042034314141 - 23 = 9042034314133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9042034314096 and 9042034314105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9042034314143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22909825 + ... + 23301161.

It is an arithmetic number, because the mean of its divisors is an integer number (340909989651).

Almost surely, 29042034314141 is an apocalyptic number.

It is an amenable number.

9042034314141 is a deficient number, since it is larger than the sum of its proper divisors (4594365271899).

9042034314141 is a wasteful number, since it uses less digits than its factorization.

9042034314141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394075 (or 394066 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 9042034314141 in words is "nine trillion, forty-two billion, thirty-four million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 109 327 981 2617 2943 7851 8829 23553 70659 211977 285253 391337 855759 1174011 2567277 3522033 7701831 10566099 23105493 31698297 42655733 127967199 383901597 1024128929 1151704791 3072386787 3455114373 9217160361 27651481083 82954443249 111630053261 334890159783 1004670479349 3014011438047 9042034314141