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2731457105341 = 17220294658161
BaseRepresentation
bin100111101111110111100…
…001111100110110111101
3100200010100221102202211121
4213233313201330312331
5324223011004332331
65450451501150541
7401225024212666
oct47576741746675
910603327382747
102731457105341
1196344a3662a8
1238145b55b451
1316a762c1a3c3
14962bb93836d
154b0b8a83c11
hex27bf787cdbd

2731457105341 has 12 divisors (see below), whose sum is σ = 2903013140020. Its totient is φ = 2569515586560.

The previous prime is 2731457105327. The next prime is 2731457105347. The reversal of 2731457105341 is 1435017541372.

It can be written as a sum of positive squares in 6 ways, for example, as 814190405625 + 1917266699716 = 902325^2 + 1384654^2 .

It is not a de Polignac number, because 2731457105341 - 215 = 2731457072573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731457105347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1742700 + ... + 2915461.

Almost surely, 22731457105341 is an apocalyptic number.

It is an amenable number.

2731457105341 is a deficient number, since it is larger than the sum of its proper divisors (171556034679).

2731457105341 is a wasteful number, since it uses less digits than its factorization.

2731457105341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660224 (or 4660207 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 2731457105341 in words is "two trillion, seven hundred thirty-one billion, four hundred fifty-seven million, one hundred five thousand, three hundred forty-one".

Divisors: 1 17 289 2029 34493 586381 4658161 79188737 1346208529 9451408669 160673947373 2731457105341