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42440244230412 = 223274737911238419
BaseRepresentation
bin10011010011001011000111…
…01011100111100100001100
312120021020200120221221220200
421221211203223213210030
521030320110010333122
6230132440135013500
711640130546545450
oct1151454353474414
9176236616857820
1042440244230412
11125828964a9206
124915253b0a290
131a8b136cc1c52
14a6a193d12660
154d8e7c76e5ac
hex269963ae790c

42440244230412 has 288 divisors, whose sum is σ = 125670868377600. Its totient is φ = 11824530512256.

The previous prime is 42440244230411. The next prime is 42440244230431. The reversal of 42440244230412 is 21403244204424.

42440244230412 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 0 + 2 + 4 + 4 + 230 + 412 = 666.

42440244230412 is digitally balanced in base 2, 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 (36).

It is not an unprimeable number, because it can be changed into a prime (42440244230411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5041003539 + ... + 5041011957.

Almost surely, 242440244230412 is an apocalyptic number.

42440244230412 is a gapful number since it is divisible by the number (42) 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 42440244230412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62835434188800).

42440244230412 is an abundant number, since it is smaller than the sum of its proper divisors (83230624147188).

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

42440244230412 is a wasteful number, since it uses less digits than its factorization.

42440244230412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9985 (or 9980 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 42440244230412 its reverse (21403244204424), we get a palindrome (63843488434836).

The spelling of 42440244230412 in words is "forty-two trillion, four hundred forty billion, two hundred forty-four million, two hundred thirty thousand, four hundred twelve".