Search a number
-
+
43458026040 = 23345112138527
BaseRepresentation
bin101000011110010011…
…001101101000111000
311011011122221110110000
4220132103031220320
51203000223313130
631544144153000
73065634061242
oct503623155070
9134148843400
1043458026040
1117480a17200
12850a008760
134137613a10
142163961092
1511e53a2260
hexa1e4cda38

43458026040 has 480 divisors, whose sum is σ = 172923791040. Its totient is φ = 9723732480.

The previous prime is 43458026023. The next prime is 43458026071. The reversal of 43458026040 is 4062085434.

43458026040 is a `hidden beast` number, since 4 + 3 + 45 + 8 + 0 + 2 + 604 + 0 = 666.

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 = 43458025986 and 43458026004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5092257 + ... + 5100783.

It is an arithmetic number, because the mean of its divisors is an integer number (360257898).

Almost surely, 243458026040 is an apocalyptic number.

43458026040 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 43458026040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86461895520).

43458026040 is an abundant number, since it is smaller than the sum of its proper divisors (129465765000).

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

43458026040 is a wasteful number, since it uses less digits than its factorization.

43458026040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8585 (or 8561 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 43458026040 in words is "forty-three billion, four hundred fifty-eight million, twenty-six thousand, forty".