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444564320114433 = 32941378793290281
BaseRepresentation
bin110010100010101000011001…
…0011000010101011100000001
32011022001221012211201220021110
41211011100302120111130001
5431232220211422130213
64213302010151513533
7162432466166566311
oct14505206230253401
92138057184656243
10444564320114433
1111971973aa337a2
1241a3b6633888a9
131610a30a52b8cc
147bad0567bb441
15365e2115955c3
hex1945432615701

444564320114433 has 32 divisors (see below), whose sum is σ = 628164846086400. Its totient is φ = 279169465881600.

The previous prime is 444564320114429. The next prime is 444564320114461. The reversal of 444564320114433 is 334411023465444.

It is a happy number.

It is not a de Polignac number, because 444564320114433 - 22 = 444564320114429 is a prime.

It is a super-2 number, since 2×4445643201144332 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444564320114413) 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 31 ways as a sum of consecutive naturals, for example, 133469253 + ... + 136759533.

It is an arithmetic number, because the mean of its divisors is an integer number (19630151440200).

Almost surely, 2444564320114433 is an apocalyptic number.

It is an amenable number.

444564320114433 is a deficient number, since it is larger than the sum of its proper divisors (183600525971967).

444564320114433 is a wasteful number, since it uses less digits than its factorization.

444564320114433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328233.

The product of its (nonzero) digits is 6635520, while the sum is 48.

Adding to 444564320114433 its reverse (334411023465444), we get a palindrome (778975343579877).

The spelling of 444564320114433 in words is "four hundred forty-four trillion, five hundred sixty-four billion, three hundred twenty million, one hundred fourteen thousand, four hundred thirty-three".

Divisors: 1 3 29 41 87 123 1189 3567 37879 113637 1098491 1553039 3290281 3295473 4659117 9870843 45038131 95418149 134901521 135114393 286254447 404704563 3912144109 11736432327 124632553999 373897661997 3614344065971 5109934713959 10843032197913 15329804141877 148188106704811 444564320114433