| Base | Representation |
|---|---|
| bin | 10101001101100101… |
| … | …11101111101100000 |
| 3 | 1002101200010021010200 |
| 4 | 22212302331331200 |
| 5 | 141310402012230 |
| 6 | 5122015025200 |
| 7 | 552133032000 |
| oct | 124662757540 |
| 9 | 32350107120 |
| 10 | 11388313440 |
| 11 | 4914451499 |
| 12 | 2259b0b200 |
| 13 | 10c650680a |
| 14 | 7a06b2000 |
| 15 | 469be5160 |
| hex | 2a6cbdf60 |
11388313440 has 288 divisors, whose sum is σ = 45322804800. Its totient is φ = 2602930176.
The previous prime is 11388313429. The next prime is 11388313441. The reversal of 11388313440 is 4431388311.
It is a happy number.
11388313440 is a `hidden beast` number, since 1 + 138 + 83 + 1 + 3 + 440 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 11388313395 and 11388313404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11388313441) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 482392 + ... + 505448.
It is an arithmetic number, because the mean of its divisors is an integer number (157370850).
Almost surely, 211388313440 is an apocalyptic number.
11388313440 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 11388313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22661402400).
11388313440 is an abundant number, since it is smaller than the sum of its proper divisors (33934491360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11388313440 is a wasteful number, since it uses less digits than its factorization.
11388313440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23099 (or 23074 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 11388313440 in words is "eleven billion, three hundred eighty-eight million, three hundred thirteen thousand, four hundred forty".
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