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444110020416431 is a prime number
BaseRepresentation
bin110010011111010100110110…
…0000000100001001110101111
32011020110111120220201001211122
41210332221230000201032233
5431202244310211311211
64212313154332411155
7162354614213064665
oct14476515400411657
92136414526631748
10444110020416431
11119564002667626
12419875b7316abb
13160a651a408965
147b9507ac3cc35
1536524c2ad26db
hex193ea6c0213af

444110020416431 has 2 divisors, whose sum is σ = 444110020416432. Its totient is φ = 444110020416430.

The previous prime is 444110020416343. The next prime is 444110020416449. The reversal of 444110020416431 is 134614020011444.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444110020416431 is a prime.

It is a super-3 number, since 3×4441100204164313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 444110020416391 and 444110020416400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444110020412431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222055010208215 + 222055010208216.

It is an arithmetic number, because the mean of its divisors is an integer number (222055010208216).

Almost surely, 2444110020416431 is an apocalyptic number.

444110020416431 is a deficient number, since it is larger than the sum of its proper divisors (1).

444110020416431 is an equidigital number, since it uses as much as digits as its factorization.

444110020416431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 444110020416431 its reverse (134614020011444), we get a palindrome (578724040427875).

The spelling of 444110020416431 in words is "four hundred forty-four trillion, one hundred ten billion, twenty million, four hundred sixteen thousand, four hundred thirty-one".