Search a number
-
+
441035354565 = 3251319713212897
BaseRepresentation
bin1100110101011111100…
…00010111000111000101
31120011101111211100221200
412122233300113013011
524211220022321230
6534335302133113
743602160442151
oct6325760270705
91504344740850
10441035354565
11160050a61673
1271585a21199
1332788059030
14174bc082061
15b714247160
hex66afc171c5

441035354565 has 96 divisors (see below), whose sum is σ = 828357225696. Its totient is φ = 215784898560.

The previous prime is 441035354563. The next prime is 441035354671. The reversal of 441035354565 is 565453530144.

It is a happy number.

441035354565 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 35 + 3 + 54 + 565 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 39502755009 + 401532599556 = 198753^2 + 633666^2 .

It is not a de Polignac number, because 441035354565 - 21 = 441035354563 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 441035354565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441035354563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152237197 + ... + 152240093.

It is an arithmetic number, because the mean of its divisors is an integer number (8628721101).

Almost surely, 2441035354565 is an apocalyptic number.

441035354565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441035354565 is a deficient number, since it is larger than the sum of its proper divisors (387321871131).

441035354565 is a wasteful number, since it uses less digits than its factorization.

441035354565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 441035354565 in words is "four hundred forty-one billion, thirty-five million, three hundred fifty-four thousand, five hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 197 585 591 985 1321 1773 2561 2897 2955 3963 6605 7683 8691 8865 11889 12805 14485 17173 19815 23049 26073 37661 38415 43455 51519 59445 85865 112983 115245 130365 154557 188305 257595 260237 338949 564915 570709 772785 780711 1301185 1694745 1712127 2342133 2853545 3383081 3826937 3903555 5136381 7419217 8560635 10149243 11480811 11710665 16915405 19134685 22257651 25681905 30447729 34442433 37096085 49750181 50746215 57404055 66772953 111288255 149250543 152238645 172212165 248750905 333864765 447751629 746252715 753906589 2238758145 2261719767 3769532945 6785159301 9800785657 11308598835 29402356971 33925796505 49003928285 88207070913 147011784855 441035354565