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434332420011 = 32731767123527
BaseRepresentation
bin1100101001000000011…
…10101100011110101011
31112112002101002000100100
412110200032230132223
524104003044420021
6531310215040443
743244106441000
oct6244016543653
91475071060310
10434332420011
11158221367736
1270215070123
1331c5a464279
1417043b738a7
15b470a5c626
hex65203ac7ab

434332420011 has 96 divisors (see below), whose sum is σ = 786231014400. Its totient is φ = 230102256384.

The previous prime is 434332420001. The next prime is 434332420021. The reversal of 434332420011 is 110024233434.

434332420011 is a `hidden beast` number, since 4 + 3 + 433 + 24 + 200 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (434332420001) and next prime (434332420021).

It is not a de Polignac number, because 434332420011 - 27 = 434332419883 is a prime.

It is a super-2 number, since 2×4343324200112 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434332420001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3454330 + ... + 3577856.

It is an arithmetic number, because the mean of its divisors is an integer number (8189906400).

Almost surely, 2434332420011 is an apocalyptic number.

434332420011 is a deficient number, since it is larger than the sum of its proper divisors (351898594389).

434332420011 is a wasteful number, since it uses less digits than its factorization.

434332420011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123638 (or 123621 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 434332420011 its reverse (110024233434), we get a palindrome (544356653445).

The spelling of 434332420011 in words is "four hundred thirty-four billion, three hundred thirty-two million, four hundred twenty thousand, eleven".

Divisors: 1 3 7 9 17 21 49 51 63 67 119 147 153 201 343 357 441 469 603 833 1029 1071 1139 1407 2499 3087 3283 3417 4221 5831 7497 7973 9849 10251 17493 22981 23919 29547 52479 55811 68943 71757 123527 167433 206829 370581 390677 502299 864689 1111743 1172031 2099959 2594067 3516093 6052823 6299877 7782201 8276309 14699713 18158469 18899631 24828927 42369761 44099139 54475407 57934163 74486781 102897991 127109283 132297417 140697253 173802489 308693973 381327849 405539141 422091759 521407467 720285937 926081919 984880771 1216617423 1266275277 2160857811 2838773987 2954642313 3649852269 6482573433 6894165397 8516321961 8863926939 20682496191 25548965883 48259157779 62047488573 144777473337 434332420011