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2141442112329 = 33136838932613
BaseRepresentation
bin11111001010010111111…
…001010111101101001001
321120201102210010121221000
4133022113321113231021
5240041133140043304
64315433120205213
7310466634423342
oct37122771275511
97521383117830
102141442112329
117561a92772a3
122a7038769809
13126c24b2ac70
14759098330c9
153aa85611939
hex1f297e57b49

2141442112329 has 32 divisors (see below), whose sum is σ = 3421548466560. Its totient is φ = 1315880938944.

The previous prime is 2141442112301. The next prime is 2141442112393. The reversal of 2141442112329 is 9232112441412.

2141442112329 is a `hidden beast` number, since 2 + 1 + 414 + 4 + 2 + 1 + 1 + 232 + 9 = 666.

It is not a de Polignac number, because 2141442112329 - 223 = 2141433723721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2141442112293 and 2141442112302.

It is not an unprimeable number, because it can be changed into a prime (2141442112429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4226574 + ... + 4706039.

It is an arithmetic number, because the mean of its divisors is an integer number (106923389580).

Almost surely, 22141442112329 is an apocalyptic number.

It is an amenable number.

2141442112329 is a deficient number, since it is larger than the sum of its proper divisors (1280106354231).

2141442112329 is a wasteful number, since it uses less digits than its factorization.

2141442112329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8933318 (or 8933312 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 2141442112329 in words is "two trillion, one hundred forty-one billion, four hundred forty-two million, one hundred twelve thousand, three hundred twenty-nine".

Divisors: 1 3 9 13 27 39 117 351 683 2049 6147 8879 18441 26637 79911 239733 8932613 26797839 80393517 116123969 241180551 348371907 1045115721 3135347163 6100974679 18302924037 54908772111 79312670827 164726316333 237938012481 713814037443 2141442112329