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434414414434 = 271113216990217
BaseRepresentation
bin1100101001001010001…
…11011110101001100010
31112112022002100202112211
412110211013132221202
524104140042230214
6531322304312334
743246123411540
oct6244507365142
91475262322484
10434414414434
11158263680320
12702386126aa
1331c71442390
14170509d8d90
15b477d570c4
hex65251dea62

434414414434 has 32 divisors (see below), whose sum is σ = 874904558976. Its totient is φ = 156232955520.

The previous prime is 434414414389. The next prime is 434414414459.

434414414434 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 108493107 + ... + 108497110.

It is an arithmetic number, because the mean of its divisors is an integer number (27340767468).

Almost surely, 2434414414434 is an apocalyptic number.

434414414434 is an abundant number, since it is smaller than the sum of its proper divisors (440490144542).

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

434414414434 is a wasteful number, since it uses less digits than its factorization.

434414414434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216990250.

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 434414 and 414434, that added together give a palindrome (848848).

The spelling of 434414414434 in words is "four hundred thirty-four billion, four hundred fourteen million, four hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 216990217 433980434 1518931519 2386892387 2820872821 3037863038 4773784774 5641745642 16708246709 19746109747 31029601031 33416493418 39492219494 62059202062 217207207217 434414414434