Search a number
-
+
443423020055040 = 2932519245790801
BaseRepresentation
bin110010011010010100111011…
…1100110000111101000000000
32011011000211022200022201211100
41210310221313212013220000
5431110020321113230130
64211025420114414400
7162254153543262324
oct14464516746075000
92134024280281740
10443423020055040
11119319712896913
1241896428291400
13160567c424508c
147b6db0820b984
15363e6b4e09c60
hex1934a77987a00

443423020055040 has 120 divisors (see below), whose sum is σ = 1535698631254788. Its totient is φ = 118246138675200.

The previous prime is 443423020055023. The next prime is 443423020055053. The reversal of 443423020055040 is 40550020324344.

443423020055040 is a `hidden beast` number, since 4 + 4 + 3 + 42 + 3 + 0 + 20 + 0 + 550 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 372385632911616 + 71037387143424 = 19297296^2 + 8428368^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 443423020054986 and 443423020055004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9622872361 + ... + 9622918440.

Almost surely, 2443423020055040 is an apocalyptic number.

443423020055040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443423020055040 is an abundant number, since it is smaller than the sum of its proper divisors (1092275611199748).

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

443423020055040 is a wasteful number, since it uses less digits than its factorization.

443423020055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19245790830 (or 19245790811 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 443423020055040 its reverse (40550020324344), we get a palindrome (483973040379384).

The spelling of 443423020055040 in words is "four hundred forty-three trillion, four hundred twenty-three billion, twenty million, fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 19245790801 38491581602 57737372403 76983163204 96228954005 115474744806 153966326408 173212117209 192457908010 230949489612 288686862015 307932652816 346424234418 384915816020 461898979224 577373724030 615865305632 692848468836 769831632040 866060586045 923797958448 1154747448060 1231730611264 1385696937672 1539663264080 1732121172090 1847595916896 2309494896120 2463461222528 2771393875344 3079326528160 3464242344180 3695191833792 4618989792240 4926922445056 5542787750688 6158653056320 6928484688360 7390383667584 9237979584480 9853844890112 11085575501376 12317306112640 13856969376720 14780767335168 18475959168960 22171151002752 24634612225280 27713938753440 29561534670336 36951918337920 44342302005504 49269224450560 55427877506880 73903836675840 88684604011008 110855755013760 147807673351680 221711510027520 443423020055040