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316344020443614 = 2321956315831037873
BaseRepresentation
bin100011111101101101001010…
…0111101110010000111011110
31112111002012012200212122122100
41013323122110331302013132
5312430440023213143424
63040450234200225530
7123430046505153042
oct10773322475620736
91474065180778570
10316344020443614
1191884822517aa9
122b59171046b2a6
13107691616ccca7
1458191bcdba022
152688c79842dc9
hex11fb694f721de

316344020443614 has 96 divisors (see below), whose sum is σ = 723225143646720. Its totient is φ = 99657582038784.

The previous prime is 316344020443609. The next prime is 316344020443621. The reversal of 316344020443614 is 416344020443613.

316344020443614 is a `hidden beast` number, since 3 + 1 + 6 + 3 + 4 + 4 + 0 + 20 + 4 + 4 + 3 + 614 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 316344020443614.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 304281382 + ... + 305319254.

It is an arithmetic number, because the mean of its divisors is an integer number (7533595246320).

Almost surely, 2316344020443614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316344020443614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361612571823360).

316344020443614 is an abundant number, since it is smaller than the sum of its proper divisors (406881123203106).

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

316344020443614 is a wasteful number, since it uses less digits than its factorization.

316344020443614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040046 (or 1040043 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

Subtracting 316344020443614 from its reverse (416344020443613), we obtain a palindrome (99999999999999).

The spelling of 316344020443614 in words is "three hundred sixteen trillion, three hundred forty-four billion, twenty million, four hundred forty-three thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 563 1126 1583 1689 3166 3378 4749 5067 9498 10134 10697 14247 21394 28494 30077 32091 60154 64182 90231 96273 180462 192546 270693 541386 891229 1037873 1782458 2075746 2673687 3113619 5347374 6227238 8021061 9340857 16042122 16933351 18681714 19719587 33866702 39439174 50800053 59158761 101600106 118317522 152400159 177476283 304800318 354952566 584322499 1168644998 1642952959 1752967497 3285905918 3505934994 4928858877 5258902491 9857717754 10517804982 11102127481 14786576631 22204254962 29573153262 31216106221 33306382443 62432212442 66612764886 93648318663 99919147329 187296637326 199838294658 280944955989 561889911978 924982515917 1849965031834 2774947547751 5549895095502 8324842643253 16649685286506 17574667802423 35149335604846 52724003407269 105448006814538 158172010221807 316344020443614