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441441241431 = 319375333711719
BaseRepresentation
bin1100110110001111111…
…00101100100101010111
31120012102210120120001120
412123013330230211113
524213032424211211
6534443441455023
743615216432611
oct6330774544527
91505383516046
10441441241431
1116023a088463
1271679941473
133282117bc88
1417519d39db1
15b739bbed06
hex66c7f2c957

441441241431 has 64 divisors (see below), whose sum is σ = 650296857600. Its totient is φ = 265339017216.

The previous prime is 441441241421. The next prime is 441441241441. The reversal of 441441241431 is 134142144144.

It is an interprime number because it is at equal distance from previous prime (441441241421) and next prime (441441241441).

It is not a de Polignac number, because 441441241431 - 217 = 441441110359 is a prime.

It is a super-2 number, since 2×4414412414312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441441241392 and 441441241401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441441241411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37662990 + ... + 37674708.

It is an arithmetic number, because the mean of its divisors is an integer number (10160888400).

Almost surely, 2441441241431 is an apocalyptic number.

441441241431 is a deficient number, since it is larger than the sum of its proper divisors (208855616169).

441441241431 is a wasteful number, since it uses less digits than its factorization.

441441241431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12168.

The product of its digits is 24576, while the sum is 33.

Adding to 441441241431 its reverse (134142144144), we get a palindrome (575583385575).

The spelling of 441441241431 in words is "four hundred forty-one billion, four hundred forty-one million, two hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 19 37 53 57 111 159 337 703 1007 1011 1961 2109 3021 5883 6403 11719 12469 17861 19209 35157 37259 37407 53583 111777 222661 236911 339359 433603 621107 660857 667983 710733 1018077 1300809 1863321 1982571 3949303 8238457 11801033 11847909 12556283 22980959 24715371 35403099 37668849 68942877 75036757 146124211 209313059 225110271 436638221 438372633 627939177 1309914663 2776360009 3976948121 7744583183 8329080027 11930844363 23233749549 147147080477 441441241431