Search a number
-
+
443642422033240 = 235314312619659353
BaseRepresentation
bin110010011011111011000110…
…0111110001111101101011000
32011011210210122011212000212221
41210313312030332033231120
5431122114140020030430
64211314303132313424
7162306051535313413
oct14467661476175530
92134723564760787
10443642422033240
111193a377055a441
1241910a59612874
13160713bb086811
147b7a59cdc4b7a
15364525686d57a
hex1937d8cf8fb58

443642422033240 has 128 divisors (see below), whose sum is σ = 1054443136665600. Its totient is φ = 167725223285760.

The previous prime is 443642422033159. The next prime is 443642422033313. The reversal of 443642422033240 is 42330224246344.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672515404 + ... + 673174756.

It is an arithmetic number, because the mean of its divisors is an integer number (8237837005200).

Almost surely, 2443642422033240 is an apocalyptic number.

443642422033240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443642422033240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527221568332800).

443642422033240 is an abundant number, since it is smaller than the sum of its proper divisors (610800714632360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

443642422033240 is a wasteful number, since it uses less digits than its factorization.

443642422033240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672057 (or 672053 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 43.

Adding to 443642422033240 its reverse (42330224246344), we get a palindrome (485972646279584).

The spelling of 443642422033240 in words is "four hundred forty-three trillion, six hundred forty-two billion, four hundred twenty-two million, thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 86 124 155 172 215 248 310 344 430 620 860 1240 1333 1720 2666 5332 6665 10664 12619 13330 25238 26660 50476 53320 63095 100952 126190 252380 391189 504760 542617 659353 782378 1085234 1318706 1564756 1955945 2170468 2637412 2713085 3129512 3296765 3911890 4340936 5274824 5426170 6593530 7823780 10852340 13187060 15647560 16821127 20439943 21704680 26374120 28352179 33642254 40879886 56704358 67284508 81759772 84105635 102199715 113408716 134569016 141760895 163519544 168211270 204399430 226817432 283521790 336422540 408798860 567043580 672845080 817597720 878917549 1134087160 1757835098 3515670196 4394587745 7031340392 8320375507 8789175490 16640751014 17578350980 33281502028 35156701960 41601877535 66563004056 83203755070 166407510140 257931640717 332815020280 357776146801 515863281434 715552293602 1031726562868 1289658203585 1431104587204 1788880734005 2063453125736 2579316407170 2862209174408 3577761468010 5158632814340 7155522936020 10317265628680 11091060550831 14311045872040 22182121101662 44364242203324 55455302754155 88728484406648 110910605508310 221821211016620 443642422033240