Search a number
-
+
13140340100397 = 323049478857917
BaseRepresentation
bin1011111100110111100101…
…0011011100110100101101
31201112012111220011022001200
42333031321103130310231
53210242404031203042
643540331112000113
72524233606644136
oct277157123346455
951465456138050
1013140340100397
114206872467344
121582829390039
13744189b48643
14335dd28a4c8d
1517bc25188c4c
hexbf3794dcd2d

13140340100397 has 12 divisors (see below), whose sum is σ = 18986716448700. Its totient is φ = 8757353567808.

The previous prime is 13140340100387. The next prime is 13140340100417. The reversal of 13140340100397 is 79300104304131.

It is a happy number.

13140340100397 is a `hidden beast` number, since 131 + 4 + 0 + 34 + 0 + 100 + 397 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3324864143241 + 9815475957156 = 1823421^2 + 3132966^2 .

It is not a de Polignac number, because 13140340100397 - 220 = 13140339051821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140340100387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239401518 + ... + 239456399.

It is an arithmetic number, because the mean of its divisors is an integer number (1582226370725).

Almost surely, 213140340100397 is an apocalyptic number.

It is an amenable number.

13140340100397 is a deficient number, since it is larger than the sum of its proper divisors (5846376348303).

13140340100397 is a wasteful number, since it uses less digits than its factorization.

13140340100397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478860972 (or 478860969 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13140340100397 in words is "thirteen trillion, one hundred forty billion, three hundred forty million, one hundred thousand, three hundred ninety-seven".

Divisors: 1 3 9 3049 9147 27441 478857917 1436573751 4309721253 1460037788933 4380113366799 13140340100397