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444322144243341 = 327213519714912941
BaseRepresentation
bin110010100000110111100111…
…1100100101100111010001101
32011021012210010012002222021100
41211001233033210230322031
5431214233222411241331
64212554435234253313
7162406133640626100
oct14501571744547215
92137183105088240
10444322144243341
11119635a65a75391
1241a00737127239
13160c05244263c0
147ba1441172737
153657c8a5d6ae6
hex1941bcf92ce8d

444322144243341 has 72 divisors (see below), whose sum is σ = 804166259880984. Its totient is φ = 234322611989760.

The previous prime is 444322144243321. The next prime is 444322144243363. The reversal of 444322144243341 is 143342441223444.

444322144243341 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 2 + 21 + 44 + 243 + 341 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13974214004100 + 430347930239241 = 3738210^2 + 20744829^2 .

It is not a de Polignac number, because 444322144243341 - 29 = 444322144242829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444322144243321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22337931 + ... + 37250871.

Almost surely, 2444322144243341 is an apocalyptic number.

It is an amenable number.

444322144243341 is a deficient number, since it is larger than the sum of its proper divisors (359844115637643).

444322144243341 is a wasteful number, since it uses less digits than its factorization.

444322144243341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14918171 (or 14918161 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 45.

Adding to 444322144243341 its reverse (143342441223444), we get a palindrome (587664585466785).

The spelling of 444322144243341 in words is "four hundred forty-four trillion, three hundred twenty-two billion, one hundred forty-four million, two hundred forty-three thousand, three hundred forty-one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5197 5733 15591 36379 46773 67561 109137 202683 254653 327411 472927 608049 763959 1418781 2291877 3310489 4256343 9931467 14912941 29794401 44738823 104390587 134216469 193868233 313171761 581604699 730734109 939515283 1357077631 1744814097 2192202327 4071232893 6576606981 9499543417 12213698679 28498630251 77502554377 85495890753 232507663131 542517880639 697522989393 1007533206901 1627553641917 3022599620703 3797625164473 4882660925751 7052732448307 9067798862109 11392875493419 21158197344921 34178626480257 49369127138149 63474592034763 148107381414447 444322144243341