Search a number
-
+
433030323040 = 2557386634217
BaseRepresentation
bin1100100110100101001…
…11100101101101100000
31112101201121221122002121
412103102213211231200
524043321230314130
6530533102354024
743166616004630
oct6232247455540
91471647848077
10433030323040
11157713367a37
126bb10b8b914
1331ab07739a3
1416d5cc686c0
15b3e65a5d7a
hex64d29e5b60

433030323040 has 48 divisors (see below), whose sum is σ = 1169181875232. Its totient is φ = 148467538944.

The previous prime is 433030322971. The next prime is 433030323043. The reversal of 433030323040 is 40323030334.

It is a junction number, because it is equal to n+sod(n) for n = 433030322996 and 433030323014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433030323043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193315989 + ... + 193318228.

It is an arithmetic number, because the mean of its divisors is an integer number (24357955734).

Almost surely, 2433030323040 is an apocalyptic number.

433030323040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

433030323040 is an abundant number, since it is smaller than the sum of its proper divisors (736151552192).

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

433030323040 is a wasteful number, since it uses less digits than its factorization.

433030323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386634239 (or 386634231 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

Adding to 433030323040 its reverse (40323030334), we get a palindrome (473353353374).

The spelling of 433030323040 in words is "four hundred thirty-three billion, thirty million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 386634217 773268434 1546536868 1933171085 2706439519 3093073736 3866342170 5412879038 6186147472 7732684340 10825758076 12372294944 13532197595 15465368680 21651516152 27064395190 30930737360 43303032304 54128790380 61861474720 86606064608 108257580760 216515161520 433030323040