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317143554025 = 52232592832
BaseRepresentation
bin1001001110101110011…
…10101001011111101001
31010022121021112210202111
410213113032221133221
520144002222212100
6401405503002321
731625053505404
oct4472716513751
91108537483674
10317143554025
111125552a5171
125156a8993a1
1323ba27a4c0c
14114c7d0cd3b
1583b27906ba
hex49d73a97e9

317143554025 has 81 divisors (see below), whose sum is σ = 423284550199. Its totient is φ = 235696135840.

The previous prime is 317143554017. The next prime is 317143554029. The reversal of 317143554025 is 520455341713.

The square root of 317143554025 is 563155.

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., 114171679449 + 202971874576 = 337893^2 + 450524^2 .

It is not a de Polignac number, because 317143554025 - 23 = 317143554017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (317143554029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3821006634 + ... + 3821006716.

Almost surely, 2317143554025 is an apocalyptic number.

317143554025 is the 563155-th square number.

317143554025 is the 281578-th centered octagonal number.

It is an amenable number.

317143554025 is a deficient number, since it is larger than the sum of its proper divisors (106140996174).

317143554025 is an frugal number, since it uses more digits than its factorization.

317143554025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

Adding to 317143554025 its reverse (520455341713), we get a palindrome (837598895738).

The spelling of 317143554025 in words is "three hundred seventeen billion, one hundred forty-three million, five hundred fifty-four thousand, twenty-five".

Divisors: 1 5 23 25 59 83 115 295 415 529 575 1357 1475 1909 2075 2645 3481 4897 6785 6889 9545 13225 17405 24485 31211 33925 34445 43907 47725 80063 87025 112631 122425 156055 158447 172225 219535 288923 400315 406451 563155 780275 792235 1097675 1444615 1841449 2001575 2032255 2590513 2815775 3644281 3961175 6645229 7223075 9207245 9348373 10161275 12952565 18221405 23980609 33226145 46036225 46741865 64762825 91107025 119903045 152840267 166130725 215012579 233709325 551554007 599515225 764201335 1075062895 2757770035 3821006675 5375314475 12685742161 13788850175 63428710805 317143554025