Search a number
-
+
44032144032 = 25321031937691
BaseRepresentation
bin101001000000100001…
…010011001010100000
311012122200020200021100
4221000201103022200
51210134212102112
632121133354400
73116105022522
oct510041231240
9135580220240
1044032144032
1117745aa7588
12864a338a00
1341c9549ac6
1421b9ccba12
15122a9ab2dc
hexa408532a0

44032144032 has 144 divisors (see below), whose sum is σ = 127103715648. Its totient is φ = 14457692160.

The previous prime is 44032144019. The next prime is 44032144043. The reversal of 44032144032 is 23044123044.

It is a happy number.

44032144032 is a `hidden beast` number, since 4 + 40 + 3 + 214 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 44032143987 and 44032144005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5721307 + ... + 5728997.

It is an arithmetic number, because the mean of its divisors is an integer number (882664692).

Almost surely, 244032144032 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 44032144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63551857824).

44032144032 is an abundant number, since it is smaller than the sum of its proper divisors (83071571616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44032144032 is a wasteful number, since it uses less digits than its factorization.

44032144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8003 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 44032144032 its reverse (23044123044), we get a palindrome (67076267076).

The spelling of 44032144032 in words is "forty-four billion, thirty-two million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 193 206 288 309 386 412 579 618 772 824 927 1158 1236 1544 1648 1737 1854 2316 2472 3088 3296 3474 3708 4632 4944 6176 6948 7416 7691 9264 9888 13896 14832 15382 18528 19879 23073 27792 29664 30764 39758 46146 55584 59637 61528 69219 79516 92292 119274 123056 138438 159032 178911 184584 238548 246112 276876 318064 357822 369168 477096 553752 636128 715644 738336 792173 954192 1107504 1431288 1484363 1584346 1908384 2215008 2376519 2862576 2968726 3168692 4453089 4753038 5725152 5937452 6337384 7129557 8906178 9506076 11874904 12674768 13359267 14259114 17812356 19012152 23749808 25349536 26718534 28518228 35624712 38024304 47499616 53437068 57036456 71249424 76048608 106874136 114072912 142498848 152889389 213748272 228145824 305778778 427496544 458668167 611557556 917336334 1223115112 1376004501 1834672668 2446230224 2752009002 3669345336 4892460448 5504018004 7338690672 11008036008 14677381344 22016072016 44032144032