| Base | Representation |
|---|---|
| bin | 100111000110010… |
| … | …1111101111100000 |
| 3 | 10101102200200110000 |
| 4 | 1032030233233200 |
| 5 | 10141330323003 |
| 6 | 334103540000 |
| 7 | 44340340206 |
| oct | 11614575740 |
| 9 | 3342620400 |
| 10 | 1311964128 |
| 11 | 61362a082 |
| 12 | 30745a600 |
| 13 | 17ba66847 |
| 14 | c6357076 |
| 15 | 7a2a51a3 |
| hex | 4e32fbe0 |
1311964128 has 120 divisors (see below), whose sum is σ = 3913343280. Its totient is φ = 431101440.
The previous prime is 1311964109. The next prime is 1311964133. The reversal of 1311964128 is 8214691131.
1311964128 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 9 + 641 + 2 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 1311964092 and 1311964101.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180468 + ... + 187596.
It is an arithmetic number, because the mean of its divisors is an integer number (32611194).
Almost surely, 21311964128 is an apocalyptic number.
1311964128 is a gapful number since it is divisible by the number (18) 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 1311964128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956671640).
1311964128 is an abundant number, since it is smaller than the sum of its proper divisors (2601379152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1311964128 is an equidigital number, since it uses as much as digits as its factorization.
1311964128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7222 (or 7205 counting only the distinct ones).
The product of its digits is 10368, while the sum is 36.
The square root of 1311964128 is about 36221.0453742020. The cubic root of 1311964128 is about 1094.7307575975.
The spelling of 1311964128 in words is "one billion, three hundred eleven million, nine hundred sixty-four thousand, one hundred twenty-eight".
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