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434240430121 = 17313221336877
BaseRepresentation
bin1100101000110101011…
…11110010000000101001
31112111211221222102221101
412110122233302000221
524103311022230441
6531253131241401
743241611516621
oct6243257620051
91474757872841
10434240430121
11158184447333
12701aa2a9261
1331c44396694
1417035869881
15b46793b231
hex651abf2029

434240430121 has 16 divisors (see below), whose sum is σ = 461473885584. Its totient is φ = 407196002304.

The previous prime is 434240430119. The next prime is 434240430149. The reversal of 434240430121 is 121034042434.

It can be written as a sum of positive squares in 8 ways, for example, as 53853700096 + 380386730025 = 232064^2 + 616755^2 .

It is a cyclic number.

It is not a de Polignac number, because 434240430121 - 21 = 434240430119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 434240430121.

It is not an unprimeable number, because it can be changed into a prime (434240436121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11756935 + ... + 11793811.

It is an arithmetic number, because the mean of its divisors is an integer number (28842117849).

Almost surely, 2434240430121 is an apocalyptic number.

It is an amenable number.

434240430121 is a deficient number, since it is larger than the sum of its proper divisors (27233455463).

434240430121 is a wasteful number, since it uses less digits than its factorization.

434240430121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39420.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 434240430121 its reverse (121034042434), we get a palindrome (555274472555).

The spelling of 434240430121 in words is "four hundred thirty-four billion, two hundred forty million, four hundred thirty thousand, one hundred twenty-one".

Divisors: 1 17 313 2213 5321 36877 37621 626909 692669 11542501 11775373 81608801 196222517 1387349617 25543554713 434240430121