| Base | Representation |
|---|---|
| bin | 1011111010000000… |
| … | …00101100101000000 |
| 3 | 121111110221110120100 |
| 4 | 11331000011211000 |
| 5 | 101042342022034 |
| 6 | 2534141442400 |
| 7 | 314255211633 |
| oct | 57500054500 |
| 9 | 17443843510 |
| 10 | 6392142144 |
| 11 | 279021a003 |
| 12 | 12a4870400 |
| 13 | 7ab3b883b |
| 14 | 448d29c1a |
| 15 | 276298099 |
| hex | 17d005940 |
6392142144 has 84 divisors (see below), whose sum is σ = 18336659796. Its totient is φ = 2129000448.
The previous prime is 6392142131. The next prime is 6392142151. The reversal of 6392142144 is 4412412936.
6392142144 is a `hidden beast` number, since 639 + 2 + 1 + 4 + 2 + 14 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2820884544 + 3571257600 = 53112^2 + 59760^2 .
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 = 6392142099 and 6392142108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 856252 + ... + 863684.
It is an arithmetic number, because the mean of its divisors is an integer number (218293569).
Almost surely, 26392142144 is an apocalyptic number.
6392142144 is a gapful number since it is divisible by the number (64) 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 6392142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9168329898).
6392142144 is an abundant number, since it is smaller than the sum of its proper divisors (11944517652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6392142144 is a wasteful number, since it uses less digits than its factorization.
6392142144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8944 (or 8931 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 6392142144 is about 79950.8733160558. The cubic root of 6392142144 is about 1855.8753694057.
The spelling of 6392142144 in words is "six billion, three hundred ninety-two million, one hundred forty-two thousand, one hundred forty-four".
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