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41027122448 = 24131773158941
BaseRepresentation
bin100110001101011010…
…000011010100010000
310220220020202202121122
4212031122003110100
51133010420404243
630503025341412
72651455533614
oct461532032420
9126806682548
1041027122448
1116443817374
127b4ba97868
133b3aac7a20
141db2b79344
151101c74668
hex98d683510

41027122448 has 80 divisors (see below), whose sum is σ = 91882462896. Its totient is φ = 17577492480.

The previous prime is 41027122447. The next prime is 41027122483. The reversal of 41027122448 is 84422172014.

It can be written as a sum of positive squares in 8 ways, for example, as 2378707984 + 38648414464 = 48772^2 + 196592^2 .

It is not an unprimeable number, because it can be changed into a prime (41027122441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178658 + ... + 337598.

Almost surely, 241027122448 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 41027122448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45941231448).

41027122448 is an abundant number, since it is smaller than the sum of its proper divisors (50855340448).

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

41027122448 is a wasteful number, since it uses less digits than its factorization.

41027122448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159052 (or 159046 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The spelling of 41027122448 in words is "forty-one billion, twenty-seven million, one hundred twenty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 73 104 136 146 208 221 272 292 442 584 884 949 1168 1241 1768 1898 2482 3536 3796 4964 7592 9928 15184 16133 19856 32266 64532 129064 158941 258128 317882 635764 1271528 2066233 2543056 2701997 4132466 5403994 8264932 10807988 11602693 16529864 21615976 23205386 33059728 35125961 43231952 46410772 70251922 92821544 140503844 150835009 185643088 197245781 281007688 301670018 394491562 562015376 603340036 788983124 1206680072 1577966248 2413360144 2564195153 3155932496 5128390306 10256780612 20513561224 41027122448