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340231020014441 = 292292877255097
BaseRepresentation
bin100110101011100000011010…
…1000101101110101101101001
31122121122202201202210021210202
41031113000311011232231221
5324043321112110430231
63203335550045121545
7131443610563336523
oct11527006505565551
91577582652707722
10340231020014441
119945418aaa2766
12321ab0742592b5
13117ac8557aa87a
1460033aaab8a13
1529502c9e605cb
hex135703516eb69

340231020014441 has 24 divisors (see below), whose sum is σ = 353911266405720. Its totient is φ = 326690206649856.

The previous prime is 340231020014399. The next prime is 340231020014447. The reversal of 340231020014441 is 144410020132043.

It can be written as a sum of positive squares in 12 ways, for example, as 106610188698841 + 233620831315600 = 10325221^2 + 15284660^2 .

It is a de Polignac number, because none of the positive numbers 2k-340231020014441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (340231020014447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1333604405 + ... + 1333859501.

It is an arithmetic number, because the mean of its divisors is an integer number (14746302766905).

Almost surely, 2340231020014441 is an apocalyptic number.

It is an amenable number.

340231020014441 is a deficient number, since it is larger than the sum of its proper divisors (13680246391279).

340231020014441 is an equidigital number, since it uses as much as digits as its factorization.

340231020014441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256461 (or 256232 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 340231020014441 its reverse (144410020132043), we get a palindrome (484641040146484).

The spelling of 340231020014441 in words is "three hundred forty trillion, two hundred thirty-one billion, twenty million, fourteen thousand, four hundred forty-one".

Divisors: 1 29 229 877 6641 25433 52441 200833 255097 1520789 5824157 7397813 45990757 58417213 223720069 1333731953 1694099177 6487882001 13377541777 51231895801 387948711533 1485724978229 11732104138429 340231020014441