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14206126456041 = 3134724233198599
BaseRepresentation
bin1100111010111001111100…
…0111101111110011101001
31212022002111101012212000020
43032232133013233303221
53330223121333043131
650114112052231053
72664234025333332
oct316563707576351
955262441185006
1014206126456041
11458786a0389a3
1217152ab00b489
137c082a5b6530
1437181a079289
15199802138996
hexceb9f1efce9

14206126456041 has 32 divisors (see below), whose sum is σ = 20841156403200. Its totient is φ = 8552692809024.

The previous prime is 14206126456019. The next prime is 14206126456043. The reversal of 14206126456041 is 14065462160241.

It is a happy number.

It is not a de Polignac number, because 14206126456041 - 227 = 14205992238313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14206126455984 and 14206126456002.

It is not an unprimeable number, because it can be changed into a prime (14206126456043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2842060 + ... + 6040658.

It is an arithmetic number, because the mean of its divisors is an integer number (651286137600).

Almost surely, 214206126456041 is an apocalyptic number.

It is an amenable number.

14206126456041 is a deficient number, since it is larger than the sum of its proper divisors (6635029947159).

14206126456041 is a wasteful number, since it uses less digits than its factorization.

14206126456041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201085.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 14206126456041 in words is "fourteen trillion, two hundred six billion, one hundred twenty-six million, four hundred fifty-six thousand, forty-one".

Divisors: 1 3 13 39 47 141 611 1833 2423 7269 31499 94497 113881 341643 1480453 3198599 4441359 9595797 41581787 124745361 150334153 451002459 1954343989 5863031967 7750205377 23250616131 100752669901 302258009703 364259652719 1092778958157 4735375485347 14206126456041