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434141441304 = 23345769157283
BaseRepresentation
bin1100101000101001101…
…10001010110100011000
31112111121001201021210220
412110110312022310120
524103110202110204
6531235233440040
743236300235524
oct6242466126430
91474531637726
10434141441304
1115813358659a
1270181110020
1331c29a1820c
141702665cd84
15b45ddd61d9
hex6514d8ad18

434141441304 has 64 divisors (see below), whose sum is σ = 1089321709440. Its totient is φ = 144185667840.

The previous prime is 434141441291. The next prime is 434141441359. The reversal of 434141441304 is 403144141434.

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 15 ways as a sum of consecutive naturals, for example, 7550247 + ... + 7607529.

It is an arithmetic number, because the mean of its divisors is an integer number (17020651710).

Almost surely, 2434141441304 is an apocalyptic number.

It is an amenable number.

434141441304 is an abundant number, since it is smaller than the sum of its proper divisors (655180268136).

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

434141441304 is a wasteful number, since it uses less digits than its factorization.

434141441304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58440 (or 58436 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 434141441304 its reverse (403144141434), we get a palindrome (837285582738).

The spelling of 434141441304 in words is "four hundred thirty-four billion, one hundred forty-one million, four hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 457 691 914 1371 1382 1828 2073 2742 2764 3656 4146 5484 5528 8292 10968 16584 57283 114566 171849 229132 315787 343698 458264 631574 687396 947361 1263148 1374792 1894722 2526296 3789444 7578888 26178331 39582553 52356662 78534993 79165106 104713324 118747659 157069986 158330212 209426648 237495318 314139972 316660424 474990636 628279944 949981272 18089226721 36178453442 54267680163 72356906884 108535360326 144713813768 217070720652 434141441304