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420012141010 = 257111732086489
BaseRepresentation
bin1100001110010101010…
…11001010100111010010
31111011010100221110120121
412013022223022213102
523340141102003020
6520541221500454
742226202202310
oct6071253124722
91434110843517
10420012141010
111521429a4110
126949927172a
13307b76a71b7
1416485d290b0
15add3761baa
hex61caaca9d2

420012141010 has 64 divisors (see below), whose sum is σ = 998018184960. Its totient is φ = 123212113920.

The previous prime is 420012140953. The next prime is 420012141011. The reversal of 420012141010 is 10141210024.

It is a happy number.

It is a super-4 number, since 4×4200121410104 (a number of 48 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (420012141011) 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 31 ways as a sum of consecutive naturals, for example, 16030155 + ... + 16056334.

It is an arithmetic number, because the mean of its divisors is an integer number (15594034140).

Almost surely, 2420012141010 is an apocalyptic number.

420012141010 is an abundant number, since it is smaller than the sum of its proper divisors (578006043950).

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

420012141010 is a wasteful number, since it uses less digits than its factorization.

420012141010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32086531.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 420012141010 its reverse (10141210024), we get a palindrome (430153351034).

The spelling of 420012141010 in words is "four hundred twenty billion, twelve million, one hundred forty-one thousand, ten".

Divisors: 1 2 5 7 10 11 14 17 22 34 35 55 70 77 85 110 119 154 170 187 238 374 385 595 770 935 1190 1309 1870 2618 6545 13090 32086489 64172978 160432445 224605423 320864890 352951379 449210846 545470313 705902758 1090940626 1123027115 1764756895 2246054230 2470659653 2727351565 3529513790 3818292191 4941319306 5454703130 6000173443 7636584382 12000346886 12353298265 19091460955 24706596530 30000867215 38182921910 42001214101 60001734430 84002428202 210006070505 420012141010