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42434042319 = 3329321432503
BaseRepresentation
bin100111100001010001…
…000001100111001111
311001112022010200212000
4213201101001213033
51143401103323234
631254404443343
73031361260044
oct474121014717
9131468120760
1042434042319
1116aa5a02069
1282830a9553
13400342a0a6
1420a796d1cb
151185534899
hex9e14419cf

42434042319 has 32 divisors (see below), whose sum is σ = 63134453760. Its totient is φ = 28168396704.

The previous prime is 42434042317. The next prime is 42434042423. The reversal of 42434042319 is 91324043424.

42434042319 is a `hidden beast` number, since 4 + 243 + 404 + 2 + 3 + 1 + 9 = 666.

It is not a de Polignac number, because 42434042319 - 21 = 42434042317 is a prime.

It is a super-2 number, since 2×424340423192 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42434042317) 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 31 ways as a sum of consecutive naturals, for example, 16952022 + ... + 16954524.

It is an arithmetic number, because the mean of its divisors is an integer number (1972951680).

Almost surely, 242434042319 is an apocalyptic number.

42434042319 is a deficient number, since it is larger than the sum of its proper divisors (20700411441).

42434042319 is a wasteful number, since it uses less digits than its factorization.

42434042319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 42434042319 in words is "forty-two billion, four hundred thirty-four million, forty-two thousand, three hundred nineteen".

Divisors: 1 3 9 27 293 879 2143 2503 2637 6429 7509 7911 19287 22527 57861 67581 627899 733379 1883697 2200137 5363929 5651091 6600411 16091787 16953273 19801233 48275361 144826083 1571631197 4714893591 14144680773 42434042319