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42043340241504 = 253272331107273359
BaseRepresentation
bin10011000111100111110100…
…10111000011101001100000
312111212022012200002020201100
421203303322113003221200
521002314230100212004
6225230235513034400
711566350110400030
oct1143637227035140
9174768180066640
1042043340241504
111243a531553868
1248703456b5a00
131a5c892c13144
14a54ca0dc98c0
154cd99ca82739
hex263cfa5c3a60

42043340241504 has 576 divisors, whose sum is σ = 148557242695680. Its totient is φ = 11015496391680.

The previous prime is 42043340241433. The next prime is 42043340241509. The reversal of 42043340241504 is 40514204334024.

42043340241504 is a `hidden beast` number, since 4 + 20 + 4 + 3 + 340 + 241 + 50 + 4 = 666.

42043340241504 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42043340241509) 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, 153665977 + ... + 153939335.

It is an arithmetic number, because the mean of its divisors is an integer number (257911879680).

Almost surely, 242043340241504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42043340241504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74278621347840).

42043340241504 is an abundant number, since it is smaller than the sum of its proper divisors (106513902454176).

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

42043340241504 is a wasteful number, since it uses less digits than its factorization.

42043340241504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273543 (or 273532 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 42043340241504 its reverse (40514204334024), we get a palindrome (82557544575528).

The spelling of 42043340241504 in words is "forty-two trillion, forty-three billion, three hundred forty million, two hundred forty-one thousand, five hundred four".