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317468014249 = 532106312
BaseRepresentation
bin1001001111010101001…
…00010111011010101001
31010100102220002002111211
410213222210113122221
520200133302423444
6401502013153121
731636103411521
oct4475244273251
91110386062454
10317468014249
11112701465a11
125163b48b7a1
1323c24a88309
141151904c681
1583d0ed1c34
hex49ea9176a9

317468014249 has 9 divisors (see below), whose sum is σ = 323601434359. Its totient is φ = 311448752680.

The previous prime is 317468014217. The next prime is 317468014277. The reversal of 317468014249 is 942410864713.

It is a happy number.

The square root of 317468014249 is 563443.

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., 228861776025 + 88606238224 = 478395^2 + 297668^2 .

It is not a de Polignac number, because 317468014249 - 25 = 317468014217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (317468014949) 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, 29857164 + ... + 29867794.

Almost surely, 2317468014249 is an apocalyptic number.

317468014249 is the 563443-rd square number.

317468014249 is the 281722-nd centered octagonal number.

It is an amenable number.

317468014249 is a deficient number, since it is larger than the sum of its proper divisors (6133420110).

317468014249 is an frugal number, since it uses more digits than its factorization.

317468014249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21368 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 317468014249 by its sum of digits (49), we get a square (15555932698201 = 39441012).

The spelling of 317468014249 in words is "three hundred seventeen billion, four hundred sixty-eight million, fourteen thousand, two hundred forty-nine".

Divisors: 1 53 2809 10631 563443 29862479 113018161 5989962533 317468014249