Base | Representation |
---|---|
bin | 1000010001110100… |
… | …01100010111000000 |
3 | 102110201222221111220 |
4 | 10020322030113000 |
5 | 33100234040000 |
6 | 2013003435040 |
7 | 215065055010 |
oct | 41072142700 |
9 | 12421887456 |
10 | 4444440000 |
11 | 1980852610 |
12 | a40525a80 |
13 | 55aa22770 |
14 | 3023a5c40 |
15 | 1b02b61a0 |
hex | 108e8c5c0 |
4444440000 has 1120 divisors, whose sum is σ = 20262713856. Its totient is φ = 829440000.
The previous prime is 4444439959. The next prime is 4444440017. The reversal of 4444440000 is 444444.
It is a tau number, because it is divible by the number of its divisors (1120).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a nialpdrome in base 10.
It is a zygodrome in base 10.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120119982 + ... + 120120018.
Almost surely, 24444440000 is an apocalyptic number.
4444440000 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 4444440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10131356928).
4444440000 is an abundant number, since it is smaller than the sum of its proper divisors (15818273856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4444440000 is a wasteful number, since it uses less digits than its factorization.
4444440000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 103 (or 78 counting only the distinct ones).
The product of its (nonzero) digits is 4096, while the sum is 24.
The square root of 4444440000 is about 66666.6333333250. The cubic root of 4444440000 is about 1644.1408348397.
Adding to 4444440000 its reverse (444444), we get a palindrome (4444884444).
4444440000 divided by its reverse (444444) gives a 4-th power (10000 = 104).
It can be divided in two parts, 4444 and 440000, that added together give a palindrome (444444).
The spelling of 4444440000 in words is "four billion, four hundred forty-four million, four hundred forty thousand".
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