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342134431243 = 112171071579901
BaseRepresentation
bin1001111101010001100…
…11010001111000001011
31012201002221021220110121
410332220303101320023
521101142403244433
6421101400124111
733501260452633
oct4765063217013
91181087256417
10342134431243
11122109a70100
1256384166637
1326356165c27
14127b8d9d6c3
158d7675ec2d
hex4fa8cd1e0b

342134431243 has 48 divisors (see below), whose sum is σ = 404508740832. Its totient is φ = 288123264000.

The previous prime is 342134431241. The next prime is 342134431253.

342134431243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342134431243 - 21 = 342134431241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 342134431199 and 342134431208.

It is not an unprimeable number, because it can be changed into a prime (342134431241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34550593 + ... + 34560493.

It is an arithmetic number, because the mean of its divisors is an integer number (8427265434).

Almost surely, 2342134431243 is an apocalyptic number.

342134431243 is a deficient number, since it is larger than the sum of its proper divisors (62374309589).

342134431243 is a wasteful number, since it uses less digits than its factorization.

342134431243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10204 (or 10193 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 342134 and 431243, that added together give a palindrome (773377).

The spelling of 342134431243 in words is "three hundred forty-two billion, one hundred thirty-four million, four hundred thirty-one thousand, two hundred forty-three".

Divisors: 1 11 17 107 121 157 187 1177 1727 1819 2057 2669 9901 12947 16799 18997 20009 29359 108911 168317 184789 220099 285583 322949 1059407 1198021 1554457 1851487 2032679 3141413 11653477 17099027 18009919 20366357 26425769 34555543 128188247 166326899 188089297 198109109 290683459 1829595889 2179200199 2827557283 3197518049 20125554779 31103130113 342134431243