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40845181441 is a prime number
BaseRepresentation
bin100110000010100100…
…000000001000000001
310220102120102012110211
4212002210000020001
51132122331301231
630433005554121
72644116212431
oct460244001001
9126376365424
1040845181441
11163600493a9
127abab75941
133b0c1c451c
141d969382c1
1510e0cd5eb1
hex982900201

40845181441 has 2 divisors, whose sum is σ = 40845181442. Its totient is φ = 40845181440.

The previous prime is 40845181423. The next prime is 40845181459. The reversal of 40845181441 is 14418154804.

It is a balanced prime because it is at equal distance from previous prime (40845181423) and next prime (40845181459).

It can be written as a sum of positive squares in only one way, i.e., 21218292225 + 19626889216 = 145665^2 + 140096^2 .

It is a cyclic number.

It is not a de Polignac number, because 40845181441 - 211 = 40845179393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40845181394 and 40845181403.

It is not a weakly prime, because it can be changed into another prime (40845181471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20422590720 + 20422590721.

It is an arithmetic number, because the mean of its divisors is an integer number (20422590721).

Almost surely, 240845181441 is an apocalyptic number.

It is an amenable number.

40845181441 is a deficient number, since it is larger than the sum of its proper divisors (1).

40845181441 is an equidigital number, since it uses as much as digits as its factorization.

40845181441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81920, while the sum is 40.

The spelling of 40845181441 in words is "forty billion, eight hundred forty-five million, one hundred eighty-one thousand, four hundred forty-one".