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312041780449 = 72798012
BaseRepresentation
bin1001000101001110010…
…00111011010011100001
31002211102201122212002121
410202213020323103201
520103030143433244
6355203334144241
731354454241100
oct4424710732341
91084381585077
10312041780449
111103774a5173
12505861b2081
132356b831499
1411162518037
1581b4933c84
hex48a723b4e1

312041780449 has 9 divisors (see below), whose sum is σ = 362991925971. Its totient is φ = 267461031600.

The previous prime is 312041780443. The next prime is 312041780473. The reversal of 312041780449 is 944087140213.

The square root of 312041780449 is 558607.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 61401370849 + 250640409600 = 247793^2 + 500640^2 .

It is not a de Polignac number, because 312041780449 - 211 = 312041778401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312041780443) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3870349 + ... + 3950149.

It is an arithmetic number, because the mean of its divisors is an integer number (40332436219).

Almost surely, 2312041780449 is an apocalyptic number.

312041780449 is the 558607-th square number.

312041780449 is the 279304-th centered octagonal number.

It is an amenable number.

312041780449 is a deficient number, since it is larger than the sum of its proper divisors (50950145522).

312041780449 is an frugal number, since it uses more digits than its factorization.

312041780449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159616 (or 79808 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 312041780449 in words is "three hundred twelve billion, forty-one million, seven hundred eighty thousand, four hundred forty-nine".

Divisors: 1 7 49 79801 558607 3910249 6368199601 44577397207 312041780449