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434134013141 = 3373536615521
BaseRepresentation
bin1100101000101000110…
…01110101010011010101
31112111120112201220021202
412110110121311103111
524103101301410031
6531234410322245
743236150140213
oct6242431652325
91474515656252
10434134013141
1115812a372714
127017a729385
1331c2831715a
1417025687cb3
15b45d41a2cb
hex65146754d5

434134013141 has 16 divisors (see below), whose sum is σ = 437395543728. Its totient is φ = 430888550400.

The previous prime is 434134013101. The next prime is 434134013143. The reversal of 434134013141 is 141310431434.

It can be written as a sum of positive squares in 8 ways, for example, as 6510876100 + 427623137041 = 80690^2 + 653929^2 .

It is a cyclic number.

It is not a de Polignac number, because 434134013141 - 230 = 433060271317 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 (434134013143) 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 15 ways as a sum of consecutive naturals, for example, 78630461 + ... + 78635981.

It is an arithmetic number, because the mean of its divisors is an integer number (27337221483).

Almost surely, 2434134013141 is an apocalyptic number.

It is an amenable number.

434134013141 is a deficient number, since it is larger than the sum of its proper divisors (3261530587).

434134013141 is a wasteful number, since it uses less digits than its factorization.

434134013141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 434134013141 its reverse (141310431434), we get a palindrome (575444444575).

The spelling of 434134013141 in words is "four hundred thirty-four billion, one hundred thirty-four million, thirteen thousand, one hundred forty-one".

Divisors: 1 337 353 661 5521 118961 222757 233333 1860577 1948913 3649381 78633221 656783681 1229841397 1288231493 434134013141