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13140540645021 = 3210092657544613
BaseRepresentation
bin1011111100111000010101…
…0000011101111010011101
31201112020000212112000120100
42333032011100131322131
53210243311401120041
643540403034211313
72524241563360266
oct277160520357235
951466025460510
1013140540645021
1142069656914a9
121582884583b39
137441bc5637ba
1433601138996d
1517bc37a9e6b6
hexbf38541de9d

13140540645021 has 24 divisors (see below), whose sum is σ = 19006778077560. Its totient is φ = 8748368326656.

The previous prime is 13140540645019. The next prime is 13140540645047. The reversal of 13140540645021 is 12054604504131.

13140540645021 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 0 + 5 + 4 + 0 + 645 + 0 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5607376640100 + 7533164004921 = 2367990^2 + 2744661^2 .

It is not a de Polignac number, because 13140540645021 - 21 = 13140540645019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140540645121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23855911 + ... + 24400523.

It is an arithmetic number, because the mean of its divisors is an integer number (791949086565).

Almost surely, 213140540645021 is an apocalyptic number.

It is an amenable number.

13140540645021 is a deficient number, since it is larger than the sum of its proper divisors (5866237432539).

13140540645021 is a wasteful number, since it uses less digits than its factorization.

13140540645021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548285 (or 548282 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13140540645021 in words is "thirteen trillion, one hundred forty billion, five hundred forty million, six hundred forty-five thousand, twenty-one".

Divisors: 1 3 9 1009 2657 3027 7971 9081 23913 544613 1633839 2680913 4901517 8042739 24128217 549514517 1447036741 1648543551 4341110223 4945630653 13023330669 1460060071669 4380180215007 13140540645021