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42041113221344 = 253142380154457
BaseRepresentation
bin10011000111100011101011…
…00111101001100011100000
312111212002110110112220101012
421203301311213221203200
521002300144441040334
6225225230520200052
711566240656132626
oct1143616547514340
9174762413486335
1042041113221344
1112439599449636
12486ba23909028
131a5c5c9710c33
14a54b2d317516
154cd8bc2c99ce
hex263c759e98e0

42041113221344 has 24 divisors (see below), whose sum is σ = 85438391387328. Its totient is φ = 20342474138880.

The previous prime is 42041113221307. The next prime is 42041113221361. The reversal of 42041113221344 is 44312231114024.

42041113221344 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 (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42041113221344.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 21190076237 + ... + 21190078220.

It is an arithmetic number, because the mean of its divisors is an integer number (3559932974472).

Almost surely, 242041113221344 is an apocalyptic number.

It is an amenable number.

42041113221344 is an abundant number, since it is smaller than the sum of its proper divisors (43397278165984).

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

42041113221344 is a wasteful number, since it uses less digits than its factorization.

42041113221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42380154498 (or 42380154490 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 42041113221344 its reverse (44312231114024), we get a palindrome (86353344335368).

The spelling of 42041113221344 in words is "forty-two trillion, forty-one billion, one hundred thirteen million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 42380154457 84760308914 169520617828 339041235656 678082471312 1313784788167 1356164942624 2627569576334 5255139152668 10510278305336 21020556610672 42041113221344