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42314320000 = 2754528929
BaseRepresentation
bin100111011010001000…
…010100100010000000
311001012221212011201001
4213122020110202000
51143124431220000
631234450421344
73025405533301
oct473210244200
9131187764631
1042314320000
1116a4436a9a7
12824ab91854
133cb469c694
142095ac67a8
151179c8646a
hex9da214880

42314320000 has 80 divisors (see below), whose sum is σ = 105339054150. Its totient is φ = 16925696000.

The previous prime is 42314319973. The next prime is 42314320019. The reversal of 42314320000 is 2341324.

It can be written as a sum of positive squares in 5 ways, for example, as 8819463744 + 33494856256 = 93912^2 + 183016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 42314320000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 184465 + ... + 344464.

Almost surely, 242314320000 is an apocalyptic number.

42314320000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42314320000 is an abundant number, since it is smaller than the sum of its proper divisors (63024734150).

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

42314320000 is an frugal number, since it uses more digits than its factorization.

42314320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528963 (or 528936 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 42314320000 its reverse (2341324), we get a palindrome (42316661324).

The spelling of 42314320000 in words is "forty-two billion, three hundred fourteen million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 528929 1057858 2115716 2644645 4231432 5289290 8462864 10578580 13223225 16925728 21157160 26446450 33851456 42314320 52892900 66116125 67702912 84628640 105785800 132232250 169257280 211571600 264464500 330580625 338514560 423143200 528929000 661161250 846286400 1057858000 1322322500 1692572800 2115716000 2644645000 4231432000 5289290000 8462864000 10578580000 21157160000 42314320000