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1305431424141 = 3131724124413347
BaseRepresentation
bin10010111111110001110…
…001101011110010001101
311121210112202112101110020
4102333301301223302031
5132342010421033031
62435412405532353
7163212544010235
oct22776161536215
94553482471406
101305431424141
114636a3008579
121910024140b9
139614244a890
144727ca70cc5
1523e55b9b096
hex12ff1c6bc8d

1305431424141 has 64 divisors (see below), whose sum is σ = 1994375851776. Its totient is φ = 752416358400.

The previous prime is 1305431424139. The next prime is 1305431424151. The reversal of 1305431424141 is 1414241345031.

It is not a de Polignac number, because 1305431424141 - 21 = 1305431424139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305431424151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390028630 + ... + 390031976.

It is an arithmetic number, because the mean of its divisors is an integer number (31162122684).

Almost surely, 21305431424141 is an apocalyptic number.

It is an amenable number.

1305431424141 is a deficient number, since it is larger than the sum of its proper divisors (688944427635).

1305431424141 is a wasteful number, since it uses less digits than its factorization.

1305431424141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062.

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 1305431424141 its reverse (1414241345031), we get a palindrome (2719672769172).

The spelling of 1305431424141 in words is "one trillion, three hundred five billion, four hundred thirty-one million, four hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 13 17 39 51 221 241 663 723 2441 3133 3347 4097 7323 9399 10041 12291 31733 41497 43511 53261 56899 95199 124491 130533 159783 170697 539461 588281 739687 806627 1618383 1764843 2219061 2419881 7647653 8170027 10000777 10486151 13712659 22942959 24510081 30002331 31458453 41137977 106210351 130010101 138890459 178264567 318631053 390030303 416671377 534793701 1805575967 1968976507 5416727901 5906929521 25596694591 33472600619 76790083773 100417801857 435143808047 1305431424141