Search a number
-
+
31141677614113 = 115973657316369
BaseRepresentation
bin1110001010010101111001…
…01000011100010000100001
311002021010010001112200122101
413011022330220130100201
513040211123432122423
6150122142244410401
76362624542112623
oct705127450342041
9132233101480571
1031141677614113
119a17125173430
1235ab5709a6a01
13144b855a08c41
1479939db5ac13
153900ee6927ad
hex1c52bca1c421

31141677614113 has 16 divisors (see below), whose sum is σ = 35021816193600. Its totient is φ = 27449531527680.

The previous prime is 31141677614107. The next prime is 31141677614167.

It is a happy number.

31141677614113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31141677614113 - 221 = 31141675516961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31141677614713) 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 15 ways as a sum of consecutive naturals, for example, 328610808 + ... + 328705561.

It is an arithmetic number, because the mean of its divisors is an integer number (2188863512100).

Almost surely, 231141677614113 is an apocalyptic number.

It is an amenable number.

31141677614113 is a deficient number, since it is larger than the sum of its proper divisors (3880138579487).

31141677614113 is a wasteful number, since it uses less digits than its factorization.

31141677614113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657316512.

The product of its digits is 254016, while the sum is 46.

The spelling of 31141677614113 in words is "thirty-one trillion, one hundred forty-one billion, six hundred seventy-seven million, six hundred fourteen thousand, one hundred thirteen".

Divisors: 1 11 59 73 649 803 4307 47377 657316369 7230480059 38781665771 47984094937 426598323481 527825044307 2831061601283 31141677614113