| Base | Representation |
|---|---|
| bin | 10011001100110011000100… |
| … | …100000001100010001000000 |
| 3 | 102001222121110211021200211210 |
| 4 | 103030303010200030101000 |
| 5 | 42032000420034000134 |
| 6 | 455332140512010120 |
| 7 | 23533521150363510 |
| oct | 2314630440142100 |
| 9 | 361877424250753 |
| 10 | 84442353812544 |
| 11 | 249a688a357372 |
| 12 | 95795b1530940 |
| 13 | 3816b58bb5210 |
| 14 | 16bd0630dd840 |
| 15 | 9b68157752e9 |
| hex | 4cccc480c440 |
84442353812544 has 448 divisors, whose sum is σ = 281791953031680. Its totient is φ = 21719136337920.
The previous prime is 84442353812543. The next prime is 84442353812563. The reversal of 84442353812544 is 44521835324448.
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-3 number, since 3×844423538125443 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (84442353812543) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2029404412 + ... + 2029446020.
It is an arithmetic number, because the mean of its divisors is an integer number (628999895160).
Almost surely, 284442353812544 is an apocalyptic number.
84442353812544 is a gapful number since it is divisible by the number (84) 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 84442353812544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140895976515840).
84442353812544 is an abundant number, since it is smaller than the sum of its proper divisors (197349599219136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84442353812544 is a wasteful number, since it uses less digits than its factorization.
84442353812544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 44518 (or 44508 counting only the distinct ones).
The product of its digits is 58982400, while the sum is 57.
The spelling of 84442353812544 in words is "eighty-four trillion, four hundred forty-two billion, three hundred fifty-three million, eight hundred twelve thousand, five hundred forty-four".
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