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13681114371041 = 131502177005821
BaseRepresentation
bin1100011100010110000111…
…1101100101001111100001
31210102220100101100120110012
43013011201331211033201
53243122410234333131
645033003413214305
72611266524260235
oct307054175451741
953386311316405
1013681114371041
1143a514543a877
12164b5a9631395
1378317b590680
143542530445c5
1518ad2574752b
hexc7161f653e1

13681114371041 has 8 divisors (see below), whose sum is σ = 14733607968744. Its totient is φ = 12628635085440.

The previous prime is 13681114371019. The next prime is 13681114371049. The reversal of 13681114371041 is 14017341118631.

It can be written as a sum of positive squares in 4 ways, for example, as 808913164816 + 12872201206225 = 899396^2 + 3587785^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13681114371041 - 234 = 13663934501857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13681114371041.

It is not an unprimeable number, because it can be changed into a prime (13681114371049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1550090 + ... + 5455731.

It is an arithmetic number, because the mean of its divisors is an integer number (1841700996093).

Almost surely, 213681114371041 is an apocalyptic number.

It is an amenable number.

13681114371041 is a deficient number, since it is larger than the sum of its proper divisors (1052493597703).

13681114371041 is a wasteful number, since it uses less digits than its factorization.

13681114371041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156051.

The product of its (nonzero) digits is 48384, while the sum is 41.

Adding to 13681114371041 its reverse (14017341118631), we get a palindrome (27698455489672).

The spelling of 13681114371041 in words is "thirteen trillion, six hundred eighty-one billion, one hundred fourteen million, three hundred seventy-one thousand, forty-one".

Divisors: 1 13 150217 1952821 7005821 91075673 1052393413157 13681114371041