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42321442000 = 245321160721
BaseRepresentation
bin100111011010100011…
…011111010011010000
311001020110021000020211
4213122203133103100
51143133242121000
631235303213504
73025523215165
oct473243372320
9131213230224
1042321442000
1116a48394852
128251447294
133cb5cc4296
142096a1c06c
15117a6e17ba
hex9da8df4d0

42321442000 has 40 divisors (see below), whose sum is σ = 102333251592. Its totient is φ = 16928576000.

The previous prime is 42321441997. The next prime is 42321442021. The reversal of 42321442000 is 24412324.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 125708944 + 42195733056 = 11212^2 + 205416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×423214420002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10578361 + ... + 10582360.

Almost surely, 242321442000 is an apocalyptic number.

42321442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42321442000 is an abundant number, since it is smaller than the sum of its proper divisors (60011809592).

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

42321442000 is a wasteful number, since it uses less digits than its factorization.

42321442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21160744 (or 21160728 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 42321442000 its reverse (24412324), we get a palindrome (42345854324).

The spelling of 42321442000 in words is "forty-two billion, three hundred twenty-one million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 21160721 42321442 84642884 105803605 169285768 211607210 338571536 423214420 529018025 846428840 1058036050 1692857680 2116072100 2645090125 4232144200 5290180250 8464288400 10580360500 21160721000 42321442000