Base | Representation |
---|---|
bin | 1100110111001010001… |
… | …00001011011100000000 |
3 | 1120020200211202221222012 |
4 | 12123211010023130000 |
5 | 24220033003221310 |
6 | 535004132032052 |
7 | 43633300554011 |
oct | 6334504133400 |
9 | 1506624687865 |
10 | 441929742080 |
11 | 16046a900202 |
12 | 71795462628 |
13 | 3289b438c08 |
14 | 17564b7b008 |
15 | b767a15c05 |
hex | 66e510b700 |
441929742080 has 144 divisors (see below), whose sum is σ = 1071563320800. Its totient is φ = 174604615680.
The previous prime is 441929742047. The next prime is 441929742091. The reversal of 441929742080 is 80247929144.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183296075 + ... + 183298485.
It is an arithmetic number, because the mean of its divisors is an integer number (7441411950).
Almost surely, 2441929742080 is an apocalyptic number.
441929742080 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 441929742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535781660400).
441929742080 is an abundant number, since it is smaller than the sum of its proper divisors (629633578720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
441929742080 is a wasteful number, since it uses less digits than its factorization.
441929742080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4130 (or 4116 counting only the distinct ones).
The product of its (nonzero) digits is 1161216, while the sum is 50.
The spelling of 441929742080 in words is "four hundred forty-one billion, nine hundred twenty-nine million, seven hundred forty-two thousand, eighty".
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