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1434234324341 = 713173587155201
BaseRepresentation
bin10100110111101111000…
…001110000010101110101
312002010000020220122212102
4110313233001300111311
5141444302441334331
63014513403031445
7205422443415560
oct24675701602565
95063006818772
101434234324341
11503289981925
121b1b6a20b585
13a532b305020
144d5bb1634d7
15274938984cb
hex14def070575

1434234324341 has 32 divisors (see below), whose sum is σ = 1778451026688. Its totient is φ = 1126290124800.

The previous prime is 1434234324307. The next prime is 1434234324353.

1434234324341 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1434234324341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1434234324295 and 1434234324304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434234324301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9163541 + ... + 9318741.

It is an arithmetic number, because the mean of its divisors is an integer number (55576594584).

Almost surely, 21434234324341 is an apocalyptic number.

It is an amenable number.

1434234324341 is a deficient number, since it is larger than the sum of its proper divisors (344216702347).

1434234324341 is a wasteful number, since it uses less digits than its factorization.

1434234324341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155981.

The product of its digits is 331776, while the sum is 38.

The spelling of 1434234324341 in words is "one trillion, four hundred thirty-four billion, two hundred thirty-four million, three hundred twenty-four thousand, three hundred forty-one".

Divisors: 1 7 13 91 173 587 1211 2249 4109 7631 15743 53417 101551 155201 710857 1086407 1320163 2017613 9241141 14123291 26849773 91102987 187948411 349047049 637720909 1184338831 2443329343 8290371817 15760816751 110325717257 204890617763 1434234324341