Search a number
-
+
43391013120 = 28365721373
BaseRepresentation
bin101000011010010011…
…100101000100000000
311010222222211212000000
4220122103211010000
51202331044404440
631533352000000
73064161345300
oct503223450400
9133888755000
1043391013120
1117447106424
1284ab690000
13412677c9c0
142158ab9600
1511de566730
hexa1a4e5100

43391013120 has 1512 divisors, whose sum is σ = 197891401176. Its totient is φ = 9029615616.

The previous prime is 43391013073. The next prime is 43391013121. The reversal of 43391013120 is 2131019334.

43391013120 is a `hidden beast` number, since 4 + 339 + 10 + 1 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1106493696 + 42284519424 = 33264^2 + 205632^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (43391013121) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 594397404 + ... + 594397476.

Almost surely, 243391013120 is an apocalyptic number.

43391013120 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 43391013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98945700588).

43391013120 is an abundant number, since it is smaller than the sum of its proper divisors (154500388056).

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

43391013120 is an equidigital number, since it uses as much as digits as its factorization.

43391013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 43391013120 in words is "forty-three billion, three hundred ninety-one million, thirteen thousand, one hundred twenty".