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42433334240 = 2551124109849
BaseRepresentation
bin100111100001001110…
…010100101111100000
311001112020210201112212
4213201032110233200
51143400413143430
631254341341252
73031352250503
oct474116245740
9131466721485
1042433334240
1116aa5569080
128282a07828
13400323c9cb
1420a782713a
151185444b95
hex9e1394be0

42433334240 has 48 divisors (see below), whose sum is σ = 109362279600. Its totient is φ = 15430302720.

The previous prime is 42433334233. The next prime is 42433334243. The reversal of 42433334240 is 4243333424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42433334197 and 42433334206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433334243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12053165 + ... + 12056684.

It is an arithmetic number, because the mean of its divisors is an integer number (2278380825).

Almost surely, 242433334240 is an apocalyptic number.

42433334240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42433334240 is an abundant number, since it is smaller than the sum of its proper divisors (66928945360).

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

42433334240 is a wasteful number, since it uses less digits than its factorization.

42433334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24109875 (or 24109867 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 42433334240 its reverse (4243333424), we get a palindrome (46676667664).

It can be divided in two parts, 42433 and 334240, that added together give a palindrome (376673).

The spelling of 42433334240 in words is "forty-two billion, four hundred thirty-three million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 24109849 48219698 96439396 120549245 192878792 241098490 265208339 385757584 482196980 530416678 771515168 964393960 1060833356 1326041695 1928787920 2121666712 2652083390 3857575840 4243333424 5304166780 8486666848 10608333560 21216667120 42433334240