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44422044331041 = 32132331629508981
BaseRepresentation
bin10100001100110110100000…
…01011000010110000100001
312211021201001122111010110200
422012123100023002300201
521310302321322043131
6234251112213015413
712233246445503436
oct1206332013026041
9184251048433420
1044422044331041
1113177312a43243
124b95358924569
131ba2c99aa54a0
14ad80775bbb8d
155207bca592e6
hex2866d02c2c21

44422044331041 has 24 divisors (see below), whose sum is σ = 69397528525416. Its totient is φ = 27219318001920.

The previous prime is 44422044331037. The next prime is 44422044331081. The reversal of 44422044331041 is 14013344022444.

44422044331041 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 204 + 433 + 10 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3180872250000 + 41241172081041 = 1783500^2 + 6421929^2 .

It is not a de Polignac number, because 44422044331041 - 22 = 44422044331037 is a prime.

It is a super-2 number, since 2×444220443310412 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44422044330987 and 44422044331005.

It is not an unprimeable number, because it can be changed into a prime (44422044331031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 814727230 + ... + 814781751.

It is an arithmetic number, because the mean of its divisors is an integer number (2891563688559).

Almost surely, 244422044331041 is an apocalyptic number.

It is an amenable number.

44422044331041 is a deficient number, since it is larger than the sum of its proper divisors (24975484194375).

44422044331041 is a wasteful number, since it uses less digits than its factorization.

44422044331041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629509233 (or 1629509230 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 44422044331041 its reverse (14013344022444), we get a palindrome (58435388353485).

The spelling of 44422044331041 in words is "forty-four trillion, four hundred twenty-two billion, forty-four million, three hundred thirty-one thousand, forty-one".

Divisors: 1 3 9 13 39 117 233 699 2097 3029 9087 27261 1629508981 4888526943 14665580829 21183616753 63550850259 190652550777 379675592573 1139026777719 3417080333157 4935782703449 14807348110347 44422044331041