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441143552241 = 33729671201283
BaseRepresentation
bin1100110101101100011…
…01000110100011110001
31120011200001102101021000
412122312031012203301
524211430222132431
6534354125152213
743604643216240
oct6326615064361
91504601371230
10441143552241
111600a7042137
12715b60bb669
13327a45acc22
14174cc5a8957
15b71d9ba9e6
hex66b63468f1

441143552241 has 64 divisors (see below), whose sum is σ = 784198195200. Its totient is φ = 239756666688.

The previous prime is 441143552237. The next prime is 441143552261. The reversal of 441143552241 is 142255341144.

441143552241 is a `hidden beast` number, since 4 + 41 + 1 + 43 + 552 + 24 + 1 = 666.

It is not a de Polignac number, because 441143552241 - 22 = 441143552237 is a prime.

It is a super-2 number, since 2×4411435522412 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 441143552196 and 441143552205.

It is not an unprimeable number, because it can be changed into a prime (441143552221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233415 + ... + 967868.

It is an arithmetic number, because the mean of its divisors is an integer number (12253096800).

Almost surely, 2441143552241 is an apocalyptic number.

It is an amenable number.

441143552241 is a deficient number, since it is larger than the sum of its proper divisors (343054642959).

441143552241 is a wasteful number, since it uses less digits than its factorization.

441143552241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201395 (or 1201389 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 441143552241 its reverse (142255341144), we get a palindrome (583398893385).

The spelling of 441143552241 in words is "four hundred forty-one billion, one hundred forty-three million, five hundred fifty-two thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 29 63 67 87 189 201 203 261 469 603 609 783 1407 1809 1827 1943 4221 5481 5829 12663 13601 17487 40803 52461 122409 367227 1201283 3603849 8408981 10811547 25226943 32434641 34837207 75680829 80485961 104511621 227042487 241457883 243860449 313534863 563401727 724373649 731581347 940604589 1690205181 2173120947 2194744041 2334092869 5070615543 6584232123 7002278607 15211846629 16338650083 21006835821 49015950249 63020507463 147047850747 441143552241