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14034303301131 = 331015146425853
BaseRepresentation
bin1100110000111001110110…
…1010011011011000001011
31211200122222201122012112000
43030032131222123120023
53314414223121114011
645503134145522043
72645642055531621
oct314163552333013
954618881565460
1014034303301131
114520a07381533
1216a7b37943323
137aa576a22c79
1436739a21d511
151950e770e356
hexcc39da9b60b

14034303301131 has 16 divisors (see below), whose sum is σ = 20997417484320. Its totient is φ = 9263566533600.

The previous prime is 14034303301093. The next prime is 14034303301141. The reversal of 14034303301131 is 13110330343041.

14034303301131 is a `hidden beast` number, since 1 + 4 + 0 + 343 + 0 + 3 + 301 + 13 + 1 = 666.

It is not a de Polignac number, because 14034303301131 - 222 = 14034299106827 is a prime.

It is a super-2 number, since 2×140343033011312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14034303301095 and 14034303301104.

It is not an unprimeable number, because it can be changed into a prime (14034303301141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2573210200 + ... + 2573215653.

It is an arithmetic number, because the mean of its divisors is an integer number (1312338592770).

Almost surely, 214034303301131 is an apocalyptic number.

14034303301131 is a deficient number, since it is larger than the sum of its proper divisors (6963114183189).

14034303301131 is a wasteful number, since it uses less digits than its factorization.

14034303301131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5146425963 (or 5146425957 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 14034303301131 its reverse (13110330343041), we get a palindrome (27144633644172).

It can be divided in two parts, 1403430 and 3301131, that added together give a square (4704561 = 21692).

The spelling of 14034303301131 in words is "fourteen trillion, thirty-four billion, three hundred three million, three hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 101 303 909 2727 5146425853 15439277559 46317832677 138953498031 519789011153 1559367033459 4678101100377 14034303301131