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444101314244141 is a prime number
BaseRepresentation
bin110010011111010000110010…
…1000101000110111000101101
32011020102200010011111200200002
41210332201211011012320231
5431202123442421303031
64212305154405114045
7162354155365615331
oct14476414505067055
92136380104450602
10444101314244141
11119560345214514
12419859876b8925
13160a57607a4c18
147b948928717c1
1536521635e5ccb
hex193e865146e2d

444101314244141 has 2 divisors, whose sum is σ = 444101314244142. Its totient is φ = 444101314244140.

The previous prime is 444101314244039. The next prime is 444101314244243. The reversal of 444101314244141 is 141442413101444.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (444101314244039) and next prime (444101314244243).

It can be written as a sum of positive squares in only one way, i.e., 246181717052041 + 197919597192100 = 15690179^2 + 14068390^2 .

It is a cyclic number.

It is not a de Polignac number, because 444101314244141 - 238 = 443826436337197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444101314244095 and 444101314244104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444101314240141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222050657122070 + 222050657122071.

It is an arithmetic number, because the mean of its divisors is an integer number (222050657122071).

Almost surely, 2444101314244141 is an apocalyptic number.

It is an amenable number.

444101314244141 is a deficient number, since it is larger than the sum of its proper divisors (1).

444101314244141 is an equidigital number, since it uses as much as digits as its factorization.

444101314244141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98304, while the sum is 38.

Adding to 444101314244141 its reverse (141442413101444), we get a palindrome (585543727345585).

The spelling of 444101314244141 in words is "four hundred forty-four trillion, one hundred one billion, three hundred fourteen million, two hundred forty-four thousand, one hundred forty-one".