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42531040395 = 32531136722303
BaseRepresentation
bin100111100111000011…
…000010110010001011
311001210001122201012100
4213213003002302023
51144100421243040
631312151444443
73033646610214
oct474703026213
9131701581170
1042531040395
1117045733168
1282ab686723
13401a55c3bc
1420b67bc40b
15118dce4b30
hex9e70c2c8b

42531040395 has 48 divisors (see below), whose sum is σ = 76157632512. Its totient is φ = 21934463040.

The previous prime is 42531040381. The next prime is 42531040403. The reversal of 42531040395 is 59304013524.

42531040395 is a `hidden beast` number, since 4 + 253 + 10 + 4 + 0 + 395 = 666.

It is not a de Polignac number, because 42531040395 - 27 = 42531040267 is a prime.

It is a super-2 number, since 2×425310403952 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1895814 + ... + 1918116.

It is an arithmetic number, because the mean of its divisors is an integer number (1586617344).

Almost surely, 242531040395 is an apocalyptic number.

42531040395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42531040395 is a deficient number, since it is larger than the sum of its proper divisors (33626592117).

42531040395 is a wasteful number, since it uses less digits than its factorization.

42531040395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23712 (or 23709 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 42531040395 in words is "forty-two billion, five hundred thirty-one million, forty thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1367 1395 4101 6835 12303 20505 22303 42377 61515 66909 111515 127131 200727 211885 334545 381393 635655 691393 1003635 1906965 2074179 3456965 6222537 10370895 30488201 31112685 91464603 152441005 274393809 457323015 945134231 1371969045 2835402693 4725671155 8506208079 14177013465 42531040395