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341463311261 = 1736110910453
BaseRepresentation
bin1001111100000001100…
…11001010001110011101
31012122101011110110220222
410332000303022032131
521043304101430021
6420511023451125
733445531153622
oct4760063121635
91178334413828
10341463311261
111218a5156796
1256217456aa5
132627a0c8b07
1412753bc2349
158d378946ab
hex4f80cca39d

341463311261 has 32 divisors (see below), whose sum is σ = 372166581600. Its totient is φ = 313178711040.

The previous prime is 341463311251. The next prime is 341463311263. The reversal of 341463311261 is 162113364143.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 16095743161 + 325367568100 = 126869^2 + 570410^2 .

It is not a de Polignac number, because 341463311261 - 26 = 341463311197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341463311263) 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 31 ways as a sum of consecutive naturals, for example, 32661311 + ... + 32671763.

It is an arithmetic number, because the mean of its divisors is an integer number (11630205675).

Almost surely, 2341463311261 is an apocalyptic number.

It is an amenable number.

341463311261 is a deficient number, since it is larger than the sum of its proper divisors (30703270339).

341463311261 is a wasteful number, since it uses less digits than its factorization.

341463311261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10674 (or 10640 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The spelling of 341463311261 in words is "three hundred forty-one billion, four hundred sixty-three million, three hundred eleven thousand, two hundred sixty-one".

Divisors: 1 17 61 109 289 1037 1853 4913 6649 10453 17629 31501 113033 177701 299693 535517 637633 1139377 1921561 3020917 10839761 19369409 32666537 51355589 69501997 184275937 329279953 1181533949 3132690929 5597759201 20086077133 341463311261