Search a number
-
+
312236467848 = 233122712
BaseRepresentation
bin1001000101100101011…
…11100110011010001000
31002211221022000000000000
410202302233212122020
520103430013432343
6355234531043000
731362340120614
oct4426257463210
91084838000000
10312236467848
11110467389748
125061b440460
132359cc78626
1411180316344
1581c6a8ded3
hex48b2be6688

312236467848 has 156 divisors (see below), whose sum is σ = 881416931895. Its totient is φ = 103694767920.

The previous prime is 312236467843. The next prime is 312236467913. The reversal of 312236467848 is 848764632213.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 156118233924 + 156118233924 = 395118^2 + 395118^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=395118.

It is a super-2 number, since 2×3122364678482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 312236467794 and 312236467803.

It is not an unprimeable number, because it can be changed into a prime (312236467843) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 1152163953 + ... + 1152164223.

Almost surely, 2312236467848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312236467848

312236467848 is an abundant number, since it is smaller than the sum of its proper divisors (569180464047).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312236467848 is an frugal number, since it uses more digits than its factorization.

312236467848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 276 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 312236467848 in words is "three hundred twelve billion, two hundred thirty-six million, four hundred sixty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 271 324 486 542 648 729 813 972 1084 1458 1626 1944 2168 2187 2439 2916 3252 4374 4878 5832 6504 6561 7317 8748 9756 13122 14634 17496 19512 19683 21951 26244 29268 39366 43902 52488 58536 59049 65853 73441 78732 87804 118098 131706 146882 157464 175608 177147 197559 220323 236196 263412 293764 354294 395118 440646 472392 526824 531441 587528 592677 660969 708588 790236 881292 1062882 1185354 1321938 1417176 1580472 1762584 1778031 1982907 2125764 2370708 2643876 3556062 3965814 4251528 4741416 5287752 5334093 5948721 7112124 7931628 10668186 11897442 14224248 15863256 16002279 17846163 21336372 23794884 32004558 35692326 42672744 47589768 48006837 53538489 64009116 71384652 96013674 107076978 128018232 142769304 144020511 160615467 192027348 214153956 288041022 321230934 384054696 428307912 481846401 576082044 642461868 963692802 1152164088 1284923736 1445539203 1927385604 2891078406 3854771208 4336617609 5782156812 8673235218 11564313624 13009852827 17346470436 26019705654 34692940872 39029558481 52039411308 78059116962 104078822616 156118233924 312236467848