Search a number
-
+
443342322414040 = 23571583365437193
BaseRepresentation
bin110010011001101111010110…
…1101001000011000111011000
32011010202010000201110211021211
41210303132231221003013120
5431102210034014222130
64210524352400112504
7162245266020533050
oct14463365551030730
92133663021424254
10443342322414040
11119298472101825
1241882866905734
131604c00371884a
147b69c50950560
15363c540582a2a
hex19337ada431d8

443342322414040 has 32 divisors (see below), whose sum is σ = 1140023114779680. Its totient is φ = 152003081970432.

The previous prime is 443342322414011. The next prime is 443342322414049. The reversal of 443342322414040 is 40414223243344.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 443342322413984 and 443342322414002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443342322414049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 791682718317 + ... + 791682718876.

It is an arithmetic number, because the mean of its divisors is an integer number (35625722336865).

Almost surely, 2443342322414040 is an apocalyptic number.

443342322414040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443342322414040 is an abundant number, since it is smaller than the sum of its proper divisors (696680792365640).

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

443342322414040 is a wasteful number, since it uses less digits than its factorization.

443342322414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583365437211 (or 1583365437207 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 443342322414040 its reverse (40414223243344), we get a palindrome (483756545657384).

The spelling of 443342322414040 in words is "four hundred forty-three trillion, three hundred forty-two billion, three hundred twenty-two million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1583365437193 3166730874386 6333461748772 7916827185965 11083558060351 12666923497544 15833654371930 22167116120702 31667308743860 44334232241404 55417790301755 63334617487720 88668464482808 110835580603510 221671161207020 443342322414040