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14092341476769 = 321739050957917
BaseRepresentation
bin1100110100010010000100…
…0000011111110110100001
31211220012210111201000011200
43031010201000133312201
53321342103404224034
645545533213231413
72653065234064023
oct315044100376641
954805714630150
1014092341476769
11454358a416946
1216b7234792569
137b2b95bb112a
1436a104314013
15196892ae0a99
hexcd12101fda1

14092341476769 has 12 divisors (see below), whose sum is σ = 20473266810516. Its totient is φ = 9340588569312.

The previous prime is 14092341476761. The next prime is 14092341476869. The reversal of 14092341476769 is 96767414329041.

14092341476769 is a `hidden beast` number, since 1 + 4 + 0 + 92 + 3 + 4 + 1 + 476 + 76 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10348522815744 + 3743818661025 = 3216912^2 + 1934895^2 .

It is not a de Polignac number, because 14092341476769 - 23 = 14092341476761 is a prime.

It is a super-3 number, since 3×140923414767693 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (14092341476761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4525477402 + ... + 4525480515.

It is an arithmetic number, because the mean of its divisors is an integer number (1706105567543).

Almost surely, 214092341476769 is an apocalyptic number.

It is an amenable number.

14092341476769 is a deficient number, since it is larger than the sum of its proper divisors (6380925333747).

14092341476769 is a wasteful number, since it uses less digits than its factorization.

14092341476769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9050958096 (or 9050958093 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

It can be divided in two parts, 1409234 and 1476769, that added together give a triangular number (2886003 = T2402).

The spelling of 14092341476769 in words is "fourteen trillion, ninety-two billion, three hundred forty-one million, four hundred seventy-six thousand, seven hundred sixty-nine".

Divisors: 1 3 9 173 519 1557 9050957917 27152873751 81458621253 1565815719641 4697447158923 14092341476769