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434125034205343 = 1324173984781253
BaseRepresentation
bin110001010110101011001110…
…0011100111011000010011111
32002221002221121001120022112021
41202231112130130323002133
5423400201032224032333
64135150142033121011
7160304333022466615
oct14255263434730237
92087087531508467
10434125034205343
11116364436213418
124083440b6b9167
1315830a79916800
14792ba99ac36b5
15352c8c5cc982d
hex18ad59c73b09f

434125034205343 has 24 divisors (see below), whose sum is σ = 482205251500560. Its totient is φ = 390427839210240.

The previous prime is 434125034205283. The next prime is 434125034205361. The reversal of 434125034205343 is 343502430521434.

It is not a de Polignac number, because 434125034205343 - 221 = 434125032108191 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 434125034205343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434125034265343) 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, 37270096 + ... + 47511157.

It is an arithmetic number, because the mean of its divisors is an integer number (20091885479190).

Almost surely, 2434125034205343 is an apocalyptic number.

434125034205343 is a deficient number, since it is larger than the sum of its proper divisors (48080217295217).

434125034205343 is a wasteful number, since it uses less digits than its factorization.

434125034205343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84782059 (or 84782046 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 43.

Adding to 434125034205343 its reverse (343502430521434), we get a palindrome (777627464726777).

The spelling of 434125034205343 in words is "four hundred thirty-four trillion, one hundred twenty-five billion, thirty-four million, two hundred five thousand, three hundred forty-three".

Divisors: 1 13 41 169 533 739 6929 9607 30299 124891 393887 5120531 84781253 1102156289 3476031373 14328031757 45188407849 62653345967 587449302037 814493497571 2568787184647 10588415468423 33394233400411 434125034205343