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434055405311 = 111071632262461
BaseRepresentation
bin1100101000011111011…
…01111101111011111111
31112111101001211012121122
412110033231331323333
524102421140432221
6531222521421155
743234204032653
oct6241755757377
91474331735548
10434055405311
11158099a62470
127015833a7bb
1331c14c53648
1417019064a63
15b45658deab
hex650fb7deff

434055405311 has 16 divisors (see below), whose sum is σ = 480872723328. Its totient is φ = 388509631200.

The previous prime is 434055405307. The next prime is 434055405349. The reversal of 434055405311 is 113504550434.

It is a cyclic number.

It is not a de Polignac number, because 434055405311 - 22 = 434055405307 is a prime.

It is a super-3 number, since 3×4340554053113 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434055402311) 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, 939380 + ... + 1323081.

It is an arithmetic number, because the mean of its divisors is an integer number (30054545208).

Almost surely, 2434055405311 is an apocalyptic number.

434055405311 is a deficient number, since it is larger than the sum of its proper divisors (46817318017).

434055405311 is a wasteful number, since it uses less digits than its factorization.

434055405311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262742.

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 434055405311 its reverse (113504550434), we get a palindrome (547559955745).

The spelling of 434055405311 in words is "four hundred thirty-four billion, fifty-five million, four hundred five thousand, three hundred eleven".

Divisors: 1 11 107 163 1177 1793 17441 191851 2262461 24887071 242083327 368781143 2662916597 4056592573 39459582301 434055405311