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811217241040 = 24553191324821
BaseRepresentation
bin10111100111000000101…
…00001100001111010000
32212112220010100121220111
423303200110030033100
5101242333103203130
61420400144451104
7112415501530453
oct13634024141720
92775803317814
10811217241040
11293042a90a38
12111277019a94
135b660bb69cb
142b39802549a
151617ce9402a
hexbce050c3d0

811217241040 has 40 divisors (see below), whose sum is σ = 1921666512168. Its totient is φ = 318364500480.

The previous prime is 811217241011. The next prime is 811217241041. The reversal of 811217241040 is 40142712118.

It can be written as a sum of positive squares in 4 ways, for example, as 400607980096 + 410609260944 = 632936^2 + 640788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 811217240993 and 811217241011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811217241041) 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 7 ways as a sum of consecutive naturals, for example, 95658171 + ... + 95666650.

Almost surely, 2811217241040 is an apocalyptic number.

811217241040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

811217241040 is an abundant number, since it is smaller than the sum of its proper divisors (1110449271128).

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

811217241040 is a wasteful number, since it uses less digits than its factorization.

811217241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191324887 (or 191324881 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

Adding to 811217241040 its reverse (40142712118), we get a palindrome (851359953158).

The spelling of 811217241040 in words is "eight hundred eleven billion, two hundred seventeen million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 191324821 382649642 765299284 956624105 1530598568 1913248210 3061197136 3826496420 7652992840 10140215513 15305985680 20280431026 40560862052 50701077565 81121724104 101402155130 162243448208 202804310260 405608620520 811217241040