Search a number
-
+
11240412413112 = 2333199261502243
BaseRepresentation
bin1010001110010001110011…
…0010011111110010111000
31110210120110200000122202000
42203210130302133302320
52433130331034204422
635523435115541000
72240043620032611
oct243443462376270
943716420018660
1011240412413112
113644039852233
12131657345a760
13636c740920bc
142ac0788dac08
151475c792bcac
hexa391cc9fcb8

11240412413112 has 64 divisors (see below), whose sum is σ = 31380269280000. Its totient is φ = 3727975961952.

The previous prime is 11240412413089. The next prime is 11240412413123. The reversal of 11240412413112 is 21131421404211.

11240412413112 is a `hidden beast` number, since 1 + 1 + 2 + 404 + 1 + 241 + 3 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 130708138 + ... + 130794105.

It is an arithmetic number, because the mean of its divisors is an integer number (490316707500).

Almost surely, 211240412413112 is an apocalyptic number.

11240412413112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11240412413112 is an abundant number, since it is smaller than the sum of its proper divisors (20139856866888).

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

11240412413112 is a wasteful number, since it uses less digits than its factorization.

11240412413112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261502457 (or 261502447 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11240412413112 its reverse (21131421404211), we get a palindrome (32371833817323).

The spelling of 11240412413112 in words is "eleven trillion, two hundred forty billion, four hundred twelve million, four hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 398 597 796 1194 1592 1791 2388 3582 4776 5373 7164 10746 14328 21492 42984 261502243 523004486 784506729 1046008972 1569013458 2092017944 2353520187 3138026916 4707040374 6276053832 7060560561 9414080748 14121121122 18828161496 28242242244 52038946357 56484484488 104077892714 156116839071 208155785428 312233678142 416311570856 468350517213 624467356284 936701034426 1248934712568 1405051551639 1873402068852 2810103103278 3746804137704 5620206206556 11240412413112