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444314014101 = 32149389851749
BaseRepresentation
bin1100111011100110010…
…11011101000110010101
31120110212000012112022100
412131303023131012111
524234423341422401
6540040503152313
744046341543256
oct6356313350625
91513760175270
10444314014101
11161483750051
127213ba45699
1332b8b3a8a69
141770d6a4b2d
15b856ed1b86
hex67732dd195

444314014101 has 24 divisors (see below), whose sum is σ = 647755875000. Its totient is φ = 293464662912.

The previous prime is 444314014091. The next prime is 444314014141. The reversal of 444314014101 is 101410413444.

It can be written as a sum of positive squares in 4 ways, for example, as 45362610225 + 398951403876 = 212985^2 + 631626^2 .

It is not a de Polignac number, because 444314014101 - 25 = 444314014069 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444314014141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95775 + ... + 947523.

It is an arithmetic number, because the mean of its divisors is an integer number (26989828125).

Almost surely, 2444314014101 is an apocalyptic number.

It is an amenable number.

444314014101 is a deficient number, since it is larger than the sum of its proper divisors (203441860899).

444314014101 is a wasteful number, since it uses less digits than its factorization.

444314014101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852293 (or 852290 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 444314014101 its reverse (101410413444), we get a palindrome (545724427545).

The spelling of 444314014101 in words is "four hundred forty-four billion, three hundred fourteen million, fourteen thousand, one hundred one".

Divisors: 1 3 9 149 389 447 1167 1341 3501 57961 173883 521649 851749 2555247 7665741 126910601 331330361 380731803 993991083 1142195409 2981973249 49368223789 148104671367 444314014101