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34341233214343 = 112910111382111489
BaseRepresentation
bin1111100111011101100010…
…00000011100001110000111
311111120222201120212210201011
413303232301000130032013
514000121321200324333
6201012051133143051
710143033526020616
oct763566100341607
9144528646783634
1034341233214343
11aa4004296a170
123a2768962aa87
13162149776c363
1486a1a5ad387d
153e84633269cd
hex1f3bb101c387

34341233214343 has 64 divisors (see below), whose sum is σ = 39536604662400. Its totient is φ = 29541621760000.

The previous prime is 34341233214331. The next prime is 34341233214347.

34341233214343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34341233214343 - 213 = 34341233206151 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34341233214296 and 34341233214305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34341233214347) 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 63 ways as a sum of consecutive naturals, for example, 2989047543 + ... + 2989059031.

It is an arithmetic number, because the mean of its divisors is an integer number (617759447850).

Almost surely, 234341233214343 is an apocalyptic number.

34341233214343 is a deficient number, since it is larger than the sum of its proper divisors (5195371448057).

34341233214343 is a wasteful number, since it uses less digits than its factorization.

34341233214343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12564.

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 3434123 and 3214343, that added together give a palindrome (6648466).

The spelling of 34341233214343 in words is "thirty-four trillion, three hundred forty-one billion, two hundred thirty-three million, two hundred fourteen thousand, three hundred forty-three".

Divisors: 1 11 29 101 113 319 821 1111 1243 2929 3277 9031 11413 11489 23809 32219 36047 82921 92773 125543 126379 261899 330977 333181 912131 1020503 1160389 1298257 2404709 2690417 3640747 3664991 9370073 9432469 12764279 14280827 26451799 29594587 33651281 37649453 103070803 103757159 131123957 271732117 273541601 370164091 414143983 952679369 1065868997 1442363527 2989053287 3008957611 3802594753 10479473059 11724558967 27627701701 30910200913 41828542283 107652768697 303904718711 340012210043 1184180455667 3121930292213 34341233214343