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42241212056520 = 233252316730548477
BaseRepresentation
bin10011001101011000011000…
…11100001000001111001000
312112120012221200210221020200
421212230030130020033020
521014040000241302040
6225501202300452200
711616553420151061
oct1146541434101710
9175505850727220
1042241212056520
1112506440a860a4
1248a276854a060
131a75438356659
14a606b25a5568
154d3bce273630
hex266b0c7083c8

42241212056520 has 192 divisors, whose sum is σ = 144110612056320. Its totient is φ = 10710051297792.

The previous prime is 42241212056473. The next prime is 42241212056521. The reversal of 42241212056520 is 2565021214224.

42241212056520 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 1 + 2 + 120 + 5 + 6 + 520 = 666.

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 (42241212056521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13891479 + ... + 16656998.

It is an arithmetic number, because the mean of its divisors is an integer number (750576104460).

Almost surely, 242241212056520 is an apocalyptic number.

42241212056520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42241212056520 is an abundant number, since it is smaller than the sum of its proper divisors (101869399999800).

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

42241212056520 is a wasteful number, since it uses less digits than its factorization.

42241212056520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30548684 (or 30548677 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 42241212056520 in words is "forty-two trillion, two hundred forty-one billion, two hundred twelve million, fifty-six thousand, five hundred twenty".