Search a number
-
+
2731514400461 = 711118799298607
BaseRepresentation
bin100111101111111010111…
…100100000111011001101
3100200010111221020122222002
4213233322330200323031
5324223120141303321
65450501305202045
7401226321213110
oct47577274407315
910603457218862
102731514400461
11963479739a40
12381476790325
1316a771a5b142
14962c53b0577
154b0bdb0020b
hex27bfaf20ecd

2731514400461 has 16 divisors (see below), whose sum is σ = 3405564518400. Its totient is φ = 2128427735280.

The previous prime is 2731514400389. The next prime is 2731514400463. The reversal of 2731514400461 is 1640044151372.

It is not a de Polignac number, because 2731514400461 - 210 = 2731514399437 is a prime.

It is a super-2 number, since 2×27315144004612 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731514400463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8998220 + ... + 9296826.

It is an arithmetic number, because the mean of its divisors is an integer number (212847782400).

Almost surely, 22731514400461 is an apocalyptic number.

It is an amenable number.

2731514400461 is a deficient number, since it is larger than the sum of its proper divisors (674050117939).

2731514400461 is a wasteful number, since it uses less digits than its factorization.

2731514400461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417424.

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 2731514400461 in words is "two trillion, seven hundred thirty-one billion, five hundred fourteen million, four hundred thousand, four hundred sixty-one".

Divisors: 1 7 11 77 118799 298607 831593 1306789 2090249 3284677 9147523 22992739 35474212993 248319490951 390216342923 2731514400461