| Base | Representation |
|---|---|
| bin | 1011100110110001… |
| … | …0011110011010000 |
| 3 | 22001010011201221000 |
| 4 | 2321230103303100 |
| 5 | 22340020303100 |
| 6 | 1233045502000 |
| 7 | 140126316000 |
| oct | 27154236320 |
| 9 | 8033151830 |
| 10 | 3115400400 |
| 11 | 1359620482 |
| 12 | 72b411900 |
| 13 | 3a858a9b8 |
| 14 | 217a86000 |
| 15 | 13378b900 |
| hex | b9b13cd0 |
3115400400 has 720 divisors, whose sum is σ = 13392496000. Its totient is φ = 687536640.
The previous prime is 3115400389. The next prime is 3115400443. The reversal of 3115400400 is 40045113.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
3115400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107427586 + ... + 107427614.
Almost surely, 23115400400 is an apocalyptic number.
3115400400 is a gapful number since it is divisible by the number (30) 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 3115400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696248000).
3115400400 is an abundant number, since it is smaller than the sum of its proper divisors (10277095600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3115400400 is a wasteful number, since it uses less digits than its factorization.
3115400400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 106 (or 46 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 3115400400 is about 55815.7719645621. The cubic root of 3115400400 is about 1460.5102988824.
Adding to 3115400400 its reverse (40045113), we get a palindrome (3155445513).
The spelling of 3115400400 in words is "three billion, one hundred fifteen million, four hundred thousand, four hundred".
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