| Base | Representation |
|---|---|
| bin | 1011101101101010… |
| … | …1000010000000000 |
| 3 | 22010010121000011022 |
| 4 | 2323122220100000 |
| 5 | 22414421220000 |
| 6 | 1240001405012 |
| 7 | 140630164463 |
| oct | 27332502000 |
| 9 | 8103530138 |
| 10 | 3144320000 |
| 11 | 1373983178 |
| 12 | 739039768 |
| 13 | 3b1574ca3 |
| 14 | 21b8532da |
| 15 | 1360a0585 |
| hex | bb6a8400 |
3144320000 has 220 divisors, whose sum is σ = 8345250540. Its totient is φ = 1183744000.
The previous prime is 3144319999. The next prime is 3144320059. The reversal of 3144320000 is 234413.
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.
It can be written as a sum of positive squares in 10 ways, for example, as 2279489536 + 864830464 = 47744^2 + 29408^2 .
It is a Harshad number since it is a multiple of its sum of digits (17).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 184959992 + ... + 184960008.
It is an arithmetic number, because the mean of its divisors is an integer number (37932957).
Almost surely, 23144320000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3144320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172625270).
3144320000 is an abundant number, since it is smaller than the sum of its proper divisors (5200930540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3144320000 is an frugal number, since it uses more digits than its factorization.
3144320000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 91 (or 24 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
The square root of 3144320000 is about 56074.2365084002. The cubic root of 3144320000 is about 1465.0155892217.
Multiplying 3144320000 by its sum of digits (17), we get a square (53453440000 = 2312002).
3144320000 divided by its sum of digits (17) gives a square (184960000 = 136002).
Adding to 3144320000 its reverse (234413), we get a palindrome (3144554413).
The spelling of 3144320000 in words is "three billion, one hundred forty-four million, three hundred twenty thousand".
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