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1340143141311 = 321329653604859
BaseRepresentation
bin10011100000000110110…
…000011000000110111111
311202010010212202022200200
4103200012300120012333
5133424103121010221
62503353034254543
7165551665514652
oct23400660300677
94663125668620
101340143141311
11477395958437
1219788b287453
13994b4a16ab0
1448c12b77899
1524cd8284426
hex13806c181bf

1340143141311 has 48 divisors (see below), whose sum is σ = 2159858282400. Its totient is φ = 795044710656.

The previous prime is 1340143141289. The next prime is 1340143141327. The reversal of 1340143141311 is 1131413410431.

1340143141311 is a `hidden beast` number, since 1 + 34 + 0 + 1 + 4 + 314 + 1 + 311 = 666.

It is not a de Polignac number, because 1340143141311 - 29 = 1340143140799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340143145311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1913200 + ... + 2518058.

It is an arithmetic number, because the mean of its divisors is an integer number (44997047550).

Almost surely, 21340143141311 is an apocalyptic number.

1340143141311 is a deficient number, since it is larger than the sum of its proper divisors (819715141089).

1340143141311 is a wasteful number, since it uses less digits than its factorization.

1340143141311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605560 (or 605557 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1340143141311 its reverse (1131413410431), we get a palindrome (2471556551742).

The spelling of 1340143141311 in words is "one trillion, three hundred forty billion, one hundred forty-three million, one hundred forty-one thousand, three hundred eleven".

Divisors: 1 3 9 13 29 39 87 117 261 377 653 1131 1959 3393 5877 8489 18937 25467 56811 76401 170433 246181 604859 738543 1814577 2215629 5443731 7863167 17540911 23589501 52622733 70768503 157868199 228031843 394972927 684095529 1184918781 2052286587 3554756343 5134648051 11454214883 15403944153 34362644649 46211832459 103087933947 148904793479 446714380437 1340143141311