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434212212434 = 271113391955343
BaseRepresentation
bin1100101000110010001…
…00001000111011010010
31112111202222212211112212
412110121010020323102
524103231311244214
6531250242352122
743241116623410
oct6243104107322
91474688784485
10434212212434
1115816a523a30
12701a095b642
1331c3b596a20
1417031c022b0
15b46521553e
hex6519108ed2

434212212434 has 64 divisors (see below), whose sum is σ = 874736271360. Its totient is φ = 156117568320.

The previous prime is 434212212407. The next prime is 434212212443.

It is a happy number.

434212212434 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 434212212434.

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, 7818167 + ... + 7873509.

It is an arithmetic number, because the mean of its divisors is an integer number (13667754240).

Almost surely, 2434212212434 is an apocalyptic number.

434212212434 is an abundant number, since it is smaller than the sum of its proper divisors (440524058926).

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

434212212434 is a wasteful number, since it uses less digits than its factorization.

434212212434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59295.

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 434212 and 212434, that added together give a palindrome (646646).

The spelling of 434212212434 in words is "four hundred thirty-four billion, two hundred twelve million, two hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 3919 7838 27433 43109 50947 54866 55343 86218 101894 110686 301763 356629 387401 560417 603526 608773 713258 719459 774802 1120834 1217546 1438918 3922919 4261411 5036213 7845838 7914049 8522822 10072426 15828098 55398343 110796686 216889217 433778434 1518224519 2385781387 2819559821 3036449038 4771562774 5639119642 16700469709 19736918747 31015158031 33400939418 39473837494 62030316062 217106106217 434212212434