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1330240241304 = 2332138167174017
BaseRepresentation
bin10011010110111000011…
…111110011111010011000
311201011120201200212201100
4103112320133303322120
5133243313000210204
62455034240551400
7165051410326242
oct23267037637230
94634521625640
101330240241304
11473173a34057
12195986922560
1398597196150
144855388d092
1524908ba6a39
hex135b87f3e98

1330240241304 has 96 divisors (see below), whose sum is σ = 3880364735520. Its totient is φ = 409252220928.

The previous prime is 1330240241273. The next prime is 1330240241311. The reversal of 1330240241304 is 4031420420331.

1330240241304 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 240 + 2 + 413 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7557304 + ... + 7731320.

It is an arithmetic number, because the mean of its divisors is an integer number (40420465995).

Almost surely, 21330240241304 is an apocalyptic number.

It is an amenable number.

1330240241304 is an abundant number, since it is smaller than the sum of its proper divisors (2550124494216).

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

1330240241304 is a wasteful number, since it uses less digits than its factorization.

1330240241304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182209 (or 182202 counting only the distinct ones).

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

Adding to 1330240241304 its reverse (4031420420331), we get a palindrome (5361660661635).

The spelling of 1330240241304 in words is "one trillion, three hundred thirty billion, two hundred forty million, two hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 8167 16334 24501 32668 49002 65336 73503 98004 106171 147006 174017 196008 212342 294012 318513 348034 424684 522051 588024 637026 696068 849368 955539 1044102 1274052 1392136 1566153 1911078 2088204 2262221 2548104 3132306 3822156 4176408 4524442 6264612 6786663 7644312 9048884 12529224 13573326 18097768 20359989 27146652 40719978 54293304 81439956 162879912 1421196839 2842393678 4263590517 5684787356 8527181034 11369574712 12790771551 17054362068 18475558907 25581543102 34108724136 36951117814 51163086204 55426676721 73902235628 102326172408 110853353442 147804471256 166280030163 221706706884 332560060326 443413413768 665120120652 1330240241304