Base | Representation |
---|---|
bin | 100000010001010001110… |
… | …0011000010010001000000 |
3 | 120200222220020102011210021 |
4 | 1000202203203002101000 |
5 | 1040131141412320000 |
6 | 13233251351143224 |
7 | 635300104000105 |
oct | 100424343022100 |
9 | 16628806364707 |
10 | 4435150120000 |
11 | 145aa33689416 |
12 | 5b768a974b14 |
13 | 26230479c142 |
14 | 11493b928aac |
15 | 7a57d6d911a |
hex | 408a38c2440 |
4435150120000 has 140 divisors (see below), whose sum is σ = 11009084512140. Its totient is φ = 1772228608000.
The previous prime is 4435150119989. The next prime is 4435150120007. The reversal of 4435150120000 is 210515344.
It is a happy number.
It can be written as a sum of positive squares in 10 ways, for example, as 3440965640256 + 994184479744 = 1854984^2 + 997088^2 .
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (4435150120007) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39023256 + ... + 39136744.
Almost surely, 24435150120000 is an apocalyptic number.
4435150120000 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 4435150120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504542256070).
4435150120000 is an abundant number, since it is smaller than the sum of its proper divisors (6573934392140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4435150120000 is an equidigital number, since it uses as much as digits as its factorization.
4435150120000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 114498 (or 114473 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 25.
Adding to 4435150120000 its reverse (210515344), we get a palindrome (4435360635344).
The spelling of 4435150120000 in words is "four trillion, four hundred thirty-five billion, one hundred fifty million, one hundred twenty thousand".
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