Base | Representation |
---|---|
bin | 101010011100100… |
… | …0011000000000000 |
3 | 10200020221220212100 |
4 | 1110321003000000 |
5 | 10404101200030 |
6 | 353154230400 |
7 | 50202563034 |
oct | 12471030000 |
9 | 3606856770 |
10 | 1424240640 |
11 | 670a46089 |
12 | 338b85400 |
13 | 1990b8154 |
14 | d72221c4 |
15 | 85082360 |
hex | 54e43000 |
1424240640 has 156 divisors (see below), whose sum is σ = 4937403744. Its totient is φ = 379748352.
The previous prime is 1424240633. The next prime is 1424240647. The reversal of 1424240640 is 460424241.
It is a happy number.
1424240640 is a `hidden beast` number, since 14 + 2 + 4 + 2 + 4 + 0 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (1424240633) and next prime (1424240647).
It is a super-2 number, since 2×14242406402 = 4056922801255219200, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1424240647) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180457 + ... + 188183.
It is an arithmetic number, because the mean of its divisors is an integer number (31650024).
Almost surely, 21424240640 is an apocalyptic number.
1424240640 is a gapful number since it is divisible by the number (10) 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 1424240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468701872).
1424240640 is an abundant number, since it is smaller than the sum of its proper divisors (3513163104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1424240640 is an equidigital number, since it uses as much as digits as its factorization.
1424240640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7762 (or 7737 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
The square root of 1424240640 is about 37739.1128671568. The cubic root of 1424240640 is about 1125.1086354352.
Adding to 1424240640 its reverse (460424241), we get a palindrome (1884664881).
It can be divided in two parts, 1424 and 240640, that added together give a square (242064 = 4922).
The spelling of 1424240640 in words is "one billion, four hundred twenty-four million, two hundred forty thousand, six hundred forty".
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