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444000400117 is a prime number
BaseRepresentation
bin1100111011000000111…
…11000111001011110101
31120110001011002021210121
412131200133013023311
524233303100300432
6535545421251541
744035513062631
oct6354037071365
91513034067717
10444000400117
1116133271823a
1272072a03bb1
1332b3b422461
14176bdb89dc1
15b8396d4197
hex67607c72f5

444000400117 has 2 divisors, whose sum is σ = 444000400118. Its totient is φ = 444000400116.

The previous prime is 444000400099. The next prime is 444000400141. The reversal of 444000400117 is 711004000444.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 231655465636 + 212344934481 = 481306^2 + 460809^2 .

It is a cyclic number.

It is not a de Polignac number, because 444000400117 - 211 = 444000398069 is a prime.

It is a super-2 number, since 2×4440004001172 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444000400091 and 444000400100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444000400157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222000200058 + 222000200059.

It is an arithmetic number, because the mean of its divisors is an integer number (222000200059).

Almost surely, 2444000400117 is an apocalyptic number.

It is an amenable number.

444000400117 is a deficient number, since it is larger than the sum of its proper divisors (1).

444000400117 is an equidigital number, since it uses as much as digits as its factorization.

444000400117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1792, while the sum is 25.

The spelling of 444000400117 in words is "four hundred forty-four billion, four hundred thousand, one hundred seventeen".