Search a number
-
+
11364130140 = 2235111011511129
BaseRepresentation
bin10101001010101101…
…01101110101011100
31002022222121121212220
422211112231311130
5141233204131030
65115352425340
7551420340516
oct124526556534
932288547786
1011364130140
1149018341a0
1222519a8250
1310c14ba27c
1479b3b8bb6
15467a19a10
hex2a55add5c

11364130140 has 192 divisors, whose sum is σ = 35319352320. Its totient is φ = 2707200000.

The previous prime is 11364130139. The next prime is 11364130159. The reversal of 11364130140 is 4103146311.

It is a self number, because there is not a number n which added to its sum of digits gives 11364130140.

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 63 ways as a sum of consecutive naturals, for example, 10065096 + ... + 10066224.

It is an arithmetic number, because the mean of its divisors is an integer number (183954960).

Almost surely, 211364130140 is an apocalyptic number.

11364130140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11364130140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17659676160).

11364130140 is an abundant number, since it is smaller than the sum of its proper divisors (23955222180).

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

11364130140 is a wasteful number, since it uses less digits than its factorization.

11364130140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11364130140 its reverse (4103146311), we get a palindrome (15467276451).

The spelling of 11364130140 in words is "eleven billion, three hundred sixty-four million, one hundred thirty thousand, one hundred forty".