Search a number
-
+
43245671040 = 27335112133743
BaseRepresentation
bin101000010001101001…
…001001001010000000
311010121212100201011000
4220101221021022000
51202031342433130
631511120452000
73060445065405
oct502151111200
9133555321130
1043245671040
1117382065800
12846aa7a000
134102621c80
1421436842ac
1511d1907260
hexa11a49280

43245671040 has 1536 divisors, whose sum is σ = 190531756800. Its totient is φ = 9196830720.

The previous prime is 43245671039. The next prime is 43245671111. The reversal of 43245671040 is 4017654234.

43245671040 is a `hidden beast` number, since 43 + 2 + 4 + 567 + 10 + 40 = 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 = 43245670986 and 43245671004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1005713259 + ... + 1005713301.

Almost surely, 243245671040 is an apocalyptic number.

43245671040 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 43245671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95265878400).

43245671040 is an abundant number, since it is smaller than the sum of its proper divisors (147286085760).

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

43245671040 is a wasteful number, since it uses less digits than its factorization.

43245671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 43245671040 in words is "forty-three billion, two hundred forty-five million, six hundred seventy-one thousand, forty".