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444340400441 = 7895573127979
BaseRepresentation
bin1100111011101001100…
…00000111000100111001
31120110220211212002120012
412131310300013010321
524240002120303231
6540043244511305
744050112041340
oct6356460070471
91513824762505
10444340400441
11161497632543
127214884b535
1332b939b6c92
1417712db2b57
15b859494e2b
hex6774c07139

444340400441 has 16 divisors (see below), whose sum is σ = 513619574400. Its totient is φ = 376513323648.

The previous prime is 444340400437. The next prime is 444340400443. The reversal of 444340400441 is 144004043444.

It is not a de Polignac number, because 444340400441 - 22 = 444340400437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444340400398 and 444340400407.

It is not an unprimeable number, because it can be changed into a prime (444340400443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3407990 + ... + 3535968.

It is an arithmetic number, because the mean of its divisors is an integer number (32101223400).

Almost surely, 2444340400441 is an apocalyptic number.

It is an amenable number.

444340400441 is a deficient number, since it is larger than the sum of its proper divisors (69279173959).

444340400441 is a wasteful number, since it uses less digits than its factorization.

444340400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133648.

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 444340400441 its reverse (144004043444), we get a palindrome (588344443885).

The spelling of 444340400441 in words is "four hundred forty-four billion, three hundred forty million, four hundred thousand, four hundred forty-one".

Divisors: 1 7 89 623 5573 39011 127979 495997 895853 3471979 11390131 79730917 713226967 4992588769 63477200063 444340400441