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13541269940001 = 324771487925831
BaseRepresentation
bin1100010100001101001010…
…0101011010011100100001
31202221112101101101102012100
43011003102211122130201
53233330010101040001
644444435025521013
72565216202233606
oct305032245323441
952845341342170
1013541269940001
114350902951a21
12162847baa3169
13772c22cca31b
1434b5883506ad
1518738d505586
hexc50d295a721

13541269940001 has 48 divisors (see below), whose sum is σ = 20298740686848. Its totient is φ = 8693099301600.

The previous prime is 13541269939991. The next prime is 13541269940089. The reversal of 13541269940001 is 10004996214531.

13541269940001 is a `hidden beast` number, since 1 + 3 + 541 + 2 + 69 + 9 + 40 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 13541269940001 - 25 = 13541269939969 is a prime.

It is a super-2 number, since 2×135412699400012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13541269945001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14163156 + ... + 15088986.

It is an arithmetic number, because the mean of its divisors is an integer number (422890430976).

Almost surely, 213541269940001 is an apocalyptic number.

It is an amenable number.

13541269940001 is a deficient number, since it is larger than the sum of its proper divisors (6757470746847).

13541269940001 is a wasteful number, since it uses less digits than its factorization.

13541269940001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926442 (or 926439 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 13541269940001 in words is "thirteen trillion, five hundred forty-one billion, two hundred sixty-nine million, nine hundred forty thousand, one".

Divisors: 1 3 9 47 71 141 213 423 487 639 1461 3337 4383 10011 22889 30033 34577 68667 103731 206001 311193 925831 1625119 2777493 4875357 8332479 14626071 43514057 65734001 130542171 197202003 391626513 450879697 591606009 1352639091 3089498047 4057917273 9268494141 21191345759 27805482423 32012458487 63574037277 96037375461 190722111831 288112126383 1504585548889 4513756646667 13541269940001