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434411212431 = 37521188921019
BaseRepresentation
bin1100101001001001110…
…11010000111010001111
31112112021212100002020010
412110210323100322033
524104133232244211
6531322111524303
743246054244340
oct6244473207217
91475255302203
10434411212431
11158261893639
1270237529693
1331c70890ac1
14170504040c7
15b4779234a6
hex6524ed0e8f

434411212431 has 32 divisors (see below), whose sum is σ = 663613171200. Its totient is φ = 247615580160.

The previous prime is 434411212421. The next prime is 434411212439. The reversal of 434411212431 is 134212114434.

It is a happy number.

434411212431 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 434411212431 - 29 = 434411211919 is a prime.

It is a super-2 number, since 2×4344112124312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434411212439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20657040 + ... + 20678058.

It is an arithmetic number, because the mean of its divisors is an integer number (20737911600).

Almost surely, 2434411212431 is an apocalyptic number.

434411212431 is a deficient number, since it is larger than the sum of its proper divisors (229201958769).

434411212431 is a wasteful number, since it uses less digits than its factorization.

434411212431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23439.

The product of its digits is 9216, while the sum is 30.

Adding to 434411212431 its reverse (134212114434), we get a palindrome (568623326865).

The spelling of 434411212431 in words is "four hundred thirty-four billion, four hundred eleven million, two hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 7 21 521 1563 1889 3647 5667 10941 13223 21019 39669 63057 147133 441399 984169 2952507 6889183 10950899 20667549 32852697 39704891 76656293 119114673 229968879 277934237 833802711 20686248211 62058744633 144803737477 434411212431