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433240424040 = 23353610336867
BaseRepresentation
bin1100100110111110010…
…01000011111001101000
31112102021021021212111010
412103133021003321220
524044234022032130
6531010005503520
743205046562164
oct6233711037150
91472237255433
10433240424040
11157810a19a26
126bb6b411ba0
1331b151567c8
1416d7cb19ca4
15b409c580b0
hex64df243e68

433240424040 has 32 divisors (see below), whose sum is σ = 1299721272480. Its totient is φ = 115530779712.

The previous prime is 433240424021. The next prime is 433240424047. The reversal of 433240424040 is 40424042334.

433240424040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 433240423989 and 433240424007.

It is not an unprimeable number, because it can be changed into a prime (433240424047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1805168314 + ... + 1805168553.

It is an arithmetic number, because the mean of its divisors is an integer number (40616289765).

Almost surely, 2433240424040 is an apocalyptic number.

433240424040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

433240424040 is an abundant number, since it is smaller than the sum of its proper divisors (866480848440).

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

433240424040 is a wasteful number, since it uses less digits than its factorization.

433240424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610336881 (or 3610336877 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 433240424040 its reverse (40424042334), we get a palindrome (473664466374).

The spelling of 433240424040 in words is "four hundred thirty-three billion, two hundred forty million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3610336867 7220673734 10831010601 14441347468 18051684335 21662021202 28882694936 36103368670 43324042404 54155053005 72206737340 86648084808 108310106010 144413474680 216620212020 433240424040