Search a number
-
+
281135369284 = 22721143132
BaseRepresentation
bin1000001011101001111…
…10010100110001000100
3222212122210210111100121
410011310332110301010
514101231123304114
6333052442351324
726211540132100
oct4056476246104
9885583714317
10281135369284
11a9257650000
124659b7bb544
1320684739823
14d86d964900
1574a6463a24
hex4174f94c44

281135369284 has 135 divisors (see below), whose sum is σ = 631556238285. Its totient is φ = 109183314240.

The previous prime is 281135369279. The next prime is 281135369297. The reversal of 281135369284 is 482963531182.

The square root of 281135369284 is 530222.

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., 1793522500 + 279341846784 = 42350^2 + 528528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 898195912 + ... + 898196224.

Almost surely, 2281135369284 is an apocalyptic number.

281135369284 is the 530222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281135369284

281135369284 is an abundant number, since it is smaller than the sum of its proper divisors (350420869001).

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

281135369284 is an frugal number, since it uses more digits than its factorization.

281135369284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 333 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The spelling of 281135369284 in words is "two hundred eighty-one billion, one hundred thirty-five million, three hundred sixty-nine thousand, two hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 313 484 539 626 847 1078 1252 1331 1694 2156 2191 2662 3388 3443 4382 5324 5929 6886 8764 9317 11858 13772 14641 15337 18634 23716 24101 29282 30674 37268 37873 48202 58564 61348 65219 75746 96404 97969 102487 130438 151492 168707 195938 204974 260876 265111 337414 391876 409948 416603 530222 674828 685783 717409 833206 1060444 1077659 1371566 1434818 1666412 1855777 2155318 2743132 2869636 2916221 3711554 4310636 4582633 4800481 5832442 7423108 7543613 9165266 9600962 11664884 11854249 15087226 18330532 19201924 20413547 23708498 30174452 32078431 40827094 47416996 52805291 64156862 81654188 82979743 105610582 128313724 130396739 165959486 211221164 224549017 260793478 331918972 449098034 521586956 580858201 898196068 912777173 1161716402 1434364129 1825554346 2323432804 2868728258 3651108692 5737456516 6389440211 10040548903 12778880422 20081097806 25557760844 40162195612 70283842321 140567684642 281135369284