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434132231434 = 211295376116871
BaseRepresentation
bin1100101000101000100…
…11000010010100001010
31112111120102101101020121
412110110103002110022
524103100322401214
6531234304213454
743236126036556
oct6242423022412
91474512341217
10434132231434
11158129366030
127017a00a28a
1331c27b421a5
1417025342866
15b45d1b7424
hex65144c250a

434132231434 has 64 divisors (see below), whose sum is σ = 749788980480. Its totient is φ = 186676672000.

The previous prime is 434132231419. The next prime is 434132231549.

434132231434 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 434132231434.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25724019 + ... + 25740889.

It is an arithmetic number, because the mean of its divisors is an integer number (11715452820).

Almost surely, 2434132231434 is an apocalyptic number.

434132231434 is a deficient number, since it is larger than the sum of its proper divisors (315656749046).

434132231434 is a wasteful number, since it uses less digits than its factorization.

434132231434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17727.

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 434132 and 231434, that added together give a palindrome (665566).

The spelling of 434132231434 in words is "four hundred thirty-four billion, one hundred thirty-two million, two hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 11 22 29 53 58 106 319 583 638 761 1166 1522 1537 3074 8371 16742 16871 16907 22069 33742 33814 40333 44138 80666 185581 242759 371162 443663 485518 489259 887326 894163 978518 1169657 1788326 2339314 5381849 9835793 10763698 12838831 12866227 19671586 25677662 25732454 25930727 51861454 141227141 282454282 285237997 372326099 570475994 680458043 744652198 1360916086 4095587089 7485038473 8191174178 14970076946 19733283247 39466566494 217066115717 434132231434