Search a number
-
+
441484643612061 = 33719419293417609
BaseRepresentation
bin110010001100001110010011…
…1010110110011010110011101
32010220011112000220001221011000
41210120130213112303112131
5430331241022231041221
64202543125000220513
7161664133013334330
oct14430344726632635
92126145026057130
10441484643612061
11118741649924555
1241622821a6a739
1315c45a9190111a
147b03d83ab8617
153609066e83e26
hex19187275b359d

441484643612061 has 64 divisors (see below), whose sum is σ = 788706535680000. Its totient is φ = 238428800919936.

The previous prime is 441484643611997. The next prime is 441484643612083. The reversal of 441484643612061 is 160216346484144.

441484643612061 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 84 + 6 + 436 + 120 + 6 + 1 = 666.

It is not a de Polignac number, because 441484643612061 - 26 = 441484643611997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 441484643611989 and 441484643612007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441484643602061) 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, 145204176 + ... + 148213433.

It is an arithmetic number, because the mean of its divisors is an integer number (12323539620000).

Almost surely, 2441484643612061 is an apocalyptic number.

It is an amenable number.

441484643612061 is a deficient number, since it is larger than the sum of its proper divisors (347221892067939).

441484643612061 is a wasteful number, since it uses less digits than its factorization.

441484643612061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293418063 (or 293418057 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 441484643612061 in words is "four hundred forty-one trillion, four hundred eighty-four billion, six hundred forty-three million, six hundred twelve thousand, sixty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 419 513 1197 1257 2933 3591 3771 7961 8799 11313 23883 26397 55727 71649 79191 167181 214947 501543 1504629 293417609 880252827 2053923263 2640758481 5574934571 6161769789 7922275443 16724803713 18485309367 39024541997 50174411139 55455928101 117073625991 122941978171 150523233417 351220877973 368825934513 860593847197 1053662633919 1106477803539 2335897585249 2581781541591 3319433410617 7007692755747 7745344624773 16351283096743 21023078267241 23236033874319 49053849290229 63069234801723 147161547870687 441484643612061