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443402341134340 = 225719795773656903
BaseRepresentation
bin110010011010001011010011…
…1000010010011000000000100
32011010221211221112021201110111
41210310112213002103000010
5431104200443312244330
64211012120133402404
7162252522235326640
oct14464264702230004
92133854845251414
10443402341134340
11119310971105705
1241892416a99404
1316054879ccb823
147b6cb05ab7c20
15363dda478232a
hex19345a7093004

443402341134340 has 192 divisors, whose sum is σ = 1136320019251200. Its totient is φ = 141952861200384.

The previous prime is 443402341134317. The next prime is 443402341134343. The reversal of 443402341134340 is 43431143204344.

It is a super-2 number, since 2×4434023411343402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443402341134293 and 443402341134302.

It is not an unprimeable number, because it can be changed into a prime (443402341134343) 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, 119422329 + ... + 123079231.

It is an arithmetic number, because the mean of its divisors is an integer number (5918333433600).

Almost surely, 2443402341134340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443402341134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568160009625600).

443402341134340 is an abundant number, since it is smaller than the sum of its proper divisors (692917678116860).

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

443402341134340 is a wasteful number, since it uses less digits than its factorization.

443402341134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657594 (or 3657592 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 443402341134340 its reverse (43431143204344), we get a palindrome (486833484338684).

The spelling of 443402341134340 in words is "four hundred forty-three trillion, four hundred two billion, three hundred forty-one million, one hundred thirty-four thousand, three hundred forty".