Base | Representation |
---|---|
bin | 1111110101101011… |
… | …1111000000000000 |
3 | 101222022100012220000 |
4 | 3331122333000000 |
5 | 32201414200230 |
6 | 1541520520000 |
7 | 210234635226 |
oct | 37532770000 |
9 | 11868305800 |
10 | 4251709440 |
11 | 1891a85260 |
12 | 9a7a80000 |
13 | 529b12204 |
14 | 2c4956b16 |
15 | 19d3e5b60 |
hex | fd6bf000 |
4251709440 has 520 divisors, whose sum is σ = 16698238128. Its totient is φ = 1026293760.
The previous prime is 4251709403. The next prime is 4251709463. The reversal of 4251709440 is 449071524.
It is a happy number.
4251709440 is a `hidden beast` number, since 42 + 5 + 170 + 9 + 440 = 666.
4251709440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×42517094402 = 36154066324370227200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 4.
It is a junction number, because it is equal to n+sod(n) for n = 4251709395 and 4251709404.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18247564 + ... + 18247796.
Almost surely, 24251709440 is an apocalyptic number.
4251709440 is a gapful number since it is divisible by the number (40) 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 4251709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8349119064).
4251709440 is an abundant number, since it is smaller than the sum of its proper divisors (12446528688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4251709440 is a wasteful number, since it uses less digits than its factorization.
4251709440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 285 (or 254 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 4251709440 is about 65205.1335402359. The cubic root of 4251709440 is about 1620.0230449397.
The spelling of 4251709440 in words is "four billion, two hundred fifty-one million, seven hundred nine thousand, four hundred forty".
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