Base | Representation |
---|---|
bin | 1011100111110000… |
… | …10010110010010000 |
3 | 121002210222022220021 |
4 | 11303320102302100 |
5 | 100234202313034 |
6 | 2511033353224 |
7 | 310416340000 |
oct | 56370226220 |
9 | 17083868807 |
10 | 6239104144 |
11 | 27118a2319 |
12 | 1261568814 |
13 | 785794c00 |
14 | 432890000 |
15 | 267b186b4 |
hex | 173e12c90 |
6239104144 has 225 divisors, whose sum is σ = 15778842489. Its totient is φ = 2388597120.
The previous prime is 6239104141. The next prime is 6239104153. The reversal of 6239104144 is 4414019326.
The square root of 6239104144 is 78988.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 922944400 + 5316159744 = 30380^2 + 72912^2 .
It is not an unprimeable number, because it can be changed into a prime (6239104141) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 201261409 + ... + 201261439.
Almost surely, 26239104144 is an apocalyptic number.
6239104144 is the 78988-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 6239104144
6239104144 is an abundant number, since it is smaller than the sum of its proper divisors (9539738345).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6239104144 is an equidigital number, since it uses as much as digits as its factorization.
6239104144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 124 (or 53 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 34.
The cubic root of 6239104144 is about 1840.9447086384.
Multiplying 6239104144 by its product of nonzero digits (20736), we get a square (129374063529984 = 113742722).
The spelling of 6239104144 in words is "six billion, two hundred thirty-nine million, one hundred four thousand, one hundred forty-four".
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