Base | Representation |
---|---|
bin | 100110001101000110… |
… | …100011111110100000 |
3 | 10220212220011012020120 |
4 | 212031012203332200 |
5 | 1133003113411334 |
6 | 30502324040240 |
7 | 2651364234354 |
oct | 461506437640 |
9 | 126786135216 |
10 | 41022013344 |
11 | 16440947874 |
12 | 7b4a233080 |
13 | 3b39a293a0 |
14 | 1db2209464 |
15 | 11015b5949 |
hex | 98d1a3fa0 |
41022013344 has 96 divisors (see below), whose sum is σ = 116029428480. Its totient is φ = 12615263232.
The previous prime is 41022013339. The next prime is 41022013363. The reversal of 41022013344 is 44331022014.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2574169 + ... + 2590055.
It is an arithmetic number, because the mean of its divisors is an integer number (1208639880).
Almost surely, 241022013344 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 41022013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58014714240).
41022013344 is an abundant number, since it is smaller than the sum of its proper divisors (75007415136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41022013344 is a wasteful number, since it uses less digits than its factorization.
41022013344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17982 (or 17974 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 41022013344 its reverse (44331022014), we get a palindrome (85353035358).
It can be divided in two parts, 4102201 and 3344, that added together give a triangular number (4105545 = T2865).
The spelling of 41022013344 in words is "forty-one billion, twenty-two million, thirteen thousand, three hundred forty-four".
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