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141441004341 = 32721324671377
BaseRepresentation
bin1000001110111010001…
…0100111001100110101
3111112002021012111002100
42003232202213030311
54304132344114331
6144551015332313
713135016462100
oct2035642471465
9445067174070
10141441004341
1154a9183a01a
12234b4381099
13104512994a0
146bbab75737
153a2c4b5ae6
hex20ee8a7335

141441004341 has 36 divisors (see below), whose sum is σ = 255940875372. Its totient is φ = 74606241024.

The previous prime is 141441004297. The next prime is 141441004363. The reversal of 141441004341 is 143400144141.

141441004341 is a `hidden beast` number, since 141 + 441 + 0 + 0 + 43 + 41 = 666.

141441004341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13466674116 + 127974330225 = 116046^2 + 357735^2 .

It is not a de Polignac number, because 141441004341 - 27 = 141441004213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141441000341) 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 35 ways as a sum of consecutive naturals, for example, 12329956 + ... + 12341421.

Almost surely, 2141441004341 is an apocalyptic number.

It is an amenable number.

141441004341 is a deficient number, since it is larger than the sum of its proper divisors (114499871031).

141441004341 is a wasteful number, since it uses less digits than its factorization.

141441004341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24671410 (or 24671400 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141441004341 its reverse (143400144141), we get a palindrome (284841148482).

The spelling of 141441004341 in words is "one hundred forty-one billion, four hundred forty-one million, four thousand, three hundred forty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 24671377 74014131 172699639 222042393 320727901 518098917 962183703 1208897473 1554296751 2245095307 2886551109 3626692419 6735285921 10880077257 15715667149 20205857763 47147001447 141441004341