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316191411481 = 112172312972
BaseRepresentation
bin1001001100111100111…
…10100000110100011001
31010020010220220221201211
410212132132200310121
520140030000131411
6401131211143121
731562342436541
oct4463636406431
91106126827654
10316191411481
11112106899400
1251343a44aa1
1323a80452b6a
141143769c321
158358db4221
hex499e7a0d19

316191411481 has 81 divisors (see below), whose sum is σ = 385463054781. Its totient is φ = 259111987200.

The previous prime is 316191411461. The next prime is 316191411493. The reversal of 316191411481 is 184114191613.

The square root of 316191411481 is 562309.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18512051481 + 297679360000 = 136059^2 + 545600^2 .

It is not a de Polignac number, because 316191411481 - 219 = 316190887193 is a prime.

It is a super-2 number, since 2×3161914114812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (316191411401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3259705225 + ... + 3259705321.

Almost surely, 2316191411481 is an apocalyptic number.

316191411481 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

316191411481 is the 562309-th square number.

316191411481 is the 281155-th centered octagonal number.

It is an amenable number.

316191411481 is a deficient number, since it is larger than the sum of its proper divisors (69271643300).

316191411481 is an equidigital number, since it uses as much as digits as its factorization.

316191411481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its digits is 20736, while the sum is 40.

The spelling of 316191411481 in words is "three hundred sixteen billion, one hundred ninety-one million, four hundred eleven thousand, four hundred eighty-one".

Divisors: 1 11 17 31 97 121 187 289 341 527 961 1067 1649 2057 3007 3179 3751 5797 8959 9409 10571 11737 16337 18139 28033 33077 34969 51119 63767 93217 98549 103499 116281 159953 179707 199529 277729 291679 308363 363847 562309 869023 1025387 1084039 1138489 1584689 1759483 1976777 2719201 3055019 3208469 3391993 4958543 6185399 9042049 9559253 11279257 17431579 19354313 26939713 29911211 33605209 35293159 54543973 84295231 99462539 105151783 153714833 191747369 296336843 329023321 599983703 927247541 1094087929 1690863163 2613152161 3259705273 10199722951 18599494793 28744673771 316191411481