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434141441300 = 225271733584983
BaseRepresentation
bin1100101000101001101…
…10001010110100010100
31112111121001201021210202
412110110312022310110
524103110202110200
6531235233440032
743236300235520
oct6242466126424
91474531637722
10434141441300
11158133586596
1270181110018
1331c29a18208
141702665cd80
15b45ddd61d5
hex6514d8ad14

434141441300 has 72 divisors (see below), whose sum is σ = 1082894606976. Its totient is φ = 147988056960.

The previous prime is 434141441291. The next prime is 434141441359. The reversal of 434141441300 is 3144141434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1671392 + ... + 1913591.

Almost surely, 2434141441300 is an apocalyptic number.

It is an amenable number.

434141441300 is an abundant number, since it is smaller than the sum of its proper divisors (648753165676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434141441300 is a wasteful number, since it uses less digits than its factorization.

434141441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585177 (or 3585170 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 434141441300 its reverse (3144141434), we get a palindrome (437285582734).

The spelling of 434141441300 in words is "four hundred thirty-four billion, one hundred forty-one million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 173 175 346 350 692 700 865 1211 1730 2422 3460 4325 4844 6055 8650 12110 17300 24220 30275 60550 121100 3584983 7169966 14339932 17924915 25094881 35849830 50189762 71699660 89624575 100379524 125474405 179249150 250948810 358498300 501897620 620202059 627372025 1240404118 1254744050 2480808236 2509488100 3101010295 4341414413 6202020590 8682828826 12404041180 15505051475 17365657652 21707072065 31010102950 43414144130 62020205900 86828288260 108535360325 217070720650 434141441300