Search a number
-
+
11411451413325 = 325253956935129
BaseRepresentation
bin1010011000001110111110…
…0000100000001101001101
31111101220221200002010012200
42212003233200200031031
52443431123030211300
640134203131152113
72255310255404115
oct246035740401515
944356850063180
1011411451413325
1136aa629910667
121343747ba5639
1364a13135cac2
142b6462554045
1514bc885ae200
hexa60ef82034d

11411451413325 has 36 divisors (see below), whose sum is σ = 20824822299060. Its totient is φ = 5971275198720.

The previous prime is 11411451413317. The next prime is 11411451413407. The reversal of 11411451413325 is 52331415411411.

11411451413325 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 4 + 514 + 133 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1337584329 + 11410113828996 = 36573^2 + 3377886^2 .

It is not a de Polignac number, because 11411451413325 - 23 = 11411451413317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11411451413325.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 478455640 + ... + 478479489.

It is an arithmetic number, because the mean of its divisors is an integer number (578467286085).

Almost surely, 211411451413325 is an apocalyptic number.

11411451413325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11411451413325 is a deficient number, since it is larger than the sum of its proper divisors (9413370885735).

11411451413325 is a wasteful number, since it uses less digits than its factorization.

11411451413325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956935198 (or 956935190 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 11411451413325 its reverse (52331415411411), we get a palindrome (63742866824736).

The spelling of 11411451413325 in words is "eleven trillion, four hundred eleven billion, four hundred fifty-one million, four hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 225 265 477 795 1325 2385 3975 11925 956935129 2870805387 4784675645 8612416161 14354026935 23923378225 43062080805 50717561837 71770134675 152152685511 215310404025 253587809185 456458056533 760763427555 1267939045925 2282290282665 3803817137775 11411451413325