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444034421433 = 321719374128287
BaseRepresentation
bin1100111011000101000…
…00111001001010111001
31120110010112002202021100
412131202200321022321
524233340302441213
6535553034402013
744036405210301
oct6354240711271
91513115082240
10444034421433
1116134a944a29
1272082290309
1332b454a4905
14176c44c4601
15b83c6a4773
hex67628392b9

444034421433 has 48 divisors (see below), whose sum is σ = 734174737920. Its totient is φ = 256812415488.

The previous prime is 444034421419. The next prime is 444034421459. The reversal of 444034421433 is 334124430444.

444034421433 is a `hidden beast` number, since 4 + 4 + 403 + 4 + 4 + 214 + 33 = 666.

It is not a de Polignac number, because 444034421433 - 210 = 444034420409 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444034421473) 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 47 ways as a sum of consecutive naturals, for example, 1956585 + ... + 2171702.

It is an arithmetic number, because the mean of its divisors is an integer number (15295307040).

Almost surely, 2444034421433 is an apocalyptic number.

It is an amenable number.

444034421433 is a deficient number, since it is larger than the sum of its proper divisors (290140316487).

444034421433 is a wasteful number, since it uses less digits than its factorization.

444034421433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128366 (or 4128363 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 444034421433 its reverse (334124430444), we get a palindrome (778158851877).

The spelling of 444034421433 in words is "four hundred forty-four billion, thirty-four million, four hundred twenty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 17 19 37 51 57 111 153 171 323 333 629 703 969 1887 2109 2907 5661 6327 11951 35853 107559 4128287 12384861 37154583 70180879 78437453 152746619 210542637 235312359 458239857 631627911 705937077 1333436701 1374719571 2596692523 2902185761 4000310103 7790077569 8706557283 12000930309 23370232707 26119671849 49337157937 148011473811 444034421433