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434023305523452 = 223275715926291851
BaseRepresentation
bin110001010101111011110110…
…0111100110011000011111100
32002220202020000102002211112100
41202223313230330303003330
5423342014212203222302
64135031315354305100
7160264102055120331
oct14253675474630374
92086666012084470
10434023305523452
11116325283004aa7
124081875aa28190
13158242b6c27798
147926ba9232988
153529e1ee22d1c
hex18abdecf330fc

434023305523452 has 36 divisors (see below), whose sum is σ = 1098563759367256. Its totient is φ = 144483319663200.

The previous prime is 434023305523411. The next prime is 434023305523459. The reversal of 434023305523452 is 254325503320434.

434023305523452 is a `hidden beast` number, since 4 + 3 + 4 + 0 + 23 + 30 + 552 + 3 + 45 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 434023305523398 and 434023305523407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434023305523459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7963118674 + ... + 7963173177.

Almost surely, 2434023305523452 is an apocalyptic number.

It is an amenable number.

434023305523452 is an abundant number, since it is smaller than the sum of its proper divisors (664540453843804).

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

434023305523452 is a wasteful number, since it uses less digits than its factorization.

434023305523452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15926292618 (or 15926292613 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 45.

Adding to 434023305523452 its reverse (254325503320434), we get a palindrome (688348808843886).

The spelling of 434023305523452 in words is "four hundred thirty-four trillion, twenty-three billion, three hundred five million, five hundred twenty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 757 1514 2271 3028 4542 6813 9084 13626 27252 15926291851 31852583702 47778875553 63705167404 95557751106 143336626659 191115502212 286673253318 573346506636 12056202931207 24112405862414 36168608793621 48224811724828 72337217587242 108505826380863 144674435174484 217011652761726 434023305523452