Search a number
-
+
8443113840 = 243357471092
BaseRepresentation
bin1111101110011111…
…11011000101110000
3210210102012121211000
413313033323011300
5114242414120330
63513445122000
7416141166150
oct76717730560
923712177730
108443113840
113642a10437
1217776b9300
13a4729b665
145a1492760
15346378560
hex1f73fb170

8443113840 has 480 divisors, whose sum is σ = 34257807360. Its totient is φ = 1871465472.

The previous prime is 8443113839. The next prime is 8443113859. The reversal of 8443113840 is 483113448.

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 = 8443113795 and 8443113804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77459706 + ... + 77459814.

It is an arithmetic number, because the mean of its divisors is an integer number (71370432).

Almost surely, 28443113840 is an apocalyptic number.

8443113840 is a gapful number since it is divisible by the number (80) 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 8443113840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128903680).

8443113840 is an abundant number, since it is smaller than the sum of its proper divisors (25814693520).

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

8443113840 is a wasteful number, since it uses less digits than its factorization.

8443113840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8443113840 is about 91886.4181476240. The cubic root of 8443113840 is about 2036.2646177164.

The spelling of 8443113840 in words is "eight billion, four hundred forty-three million, one hundred thirteen thousand, eight hundred forty".