Search a number
-
+
31364234401041 = 323484914933449
BaseRepresentation
bin1110010000110100011100…
…00011001101010100010001
311010001101120102101212200200
413020122032003031110101
513102332423001313131
6150412310321005413
76414663652435053
oct710321603152421
9133041512355620
1031364234401041
119aa25517234a3
123626722783869
1314668333257c9
147a60739178d3
15395cc80792e6
hex1c868e0cd511

31364234401041 has 6 divisors (see below), whose sum is σ = 45303894134850. Its totient is φ = 20909489600688.

The previous prime is 31364234401007. The next prime is 31364234401061. The reversal of 31364234401041 is 14010443246313.

31364234401041 is a `hidden beast` number, since 3 + 1 + 3 + 642 + 3 + 4 + 4 + 0 + 1 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23327740814400 + 8036493586641 = 4829880^2 + 2834871^2 .

It is not a de Polignac number, because 31364234401041 - 235 = 31329874662673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31364234400987 and 31364234401005.

It is not an unprimeable number, because it can be changed into a prime (31364234401061) 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 5 ways as a sum of consecutive naturals, for example, 1742457466716 + ... + 1742457466733.

It is an arithmetic number, because the mean of its divisors is an integer number (7550649022475).

Almost surely, 231364234401041 is an apocalyptic number.

It is an amenable number.

31364234401041 is a deficient number, since it is larger than the sum of its proper divisors (13939659733809).

31364234401041 is a wasteful number, since it uses less digits than its factorization.

31364234401041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484914933455 (or 3484914933452 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 31364234401041 its reverse (14010443246313), we get a palindrome (45374677647354).

The spelling of 31364234401041 in words is "thirty-one trillion, three hundred sixty-four billion, two hundred thirty-four million, four hundred one thousand, forty-one".

Divisors: 1 3 9 3484914933449 10454744800347 31364234401041