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42454001320 = 2352936598277
BaseRepresentation
bin100111100010011101…
…001010011010101000
311001120200200201110021
4213202131022122220
51143421211020240
631300400330224
73032023025413
oct474235123250
9131520621407
1042454001320
11170061a4605
128289913974
1340075c7953
1420aa486b7a
15118717854a
hex9e274a6a8

42454001320 has 32 divisors (see below), whose sum is σ = 98815350600. Its totient is φ = 16396027648.

The previous prime is 42454001273. The next prime is 42454001363. The reversal of 42454001320 is 2310045424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22433449284 + 20020552036 = 149778^2 + 141494^2 .

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 7 ways as a sum of consecutive naturals, for example, 18297979 + ... + 18300298.

Almost surely, 242454001320 is an apocalyptic number.

42454001320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42454001320 is an abundant number, since it is smaller than the sum of its proper divisors (56361349280).

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

42454001320 is a wasteful number, since it uses less digits than its factorization.

42454001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36598317 (or 36598313 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 42454001320 its reverse (2310045424), we get a palindrome (44764046744).

The spelling of 42454001320 in words is "forty-two billion, four hundred fifty-four million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 36598277 73196554 146393108 182991385 292786216 365982770 731965540 1061350033 1463931080 2122700066 4245400132 5306750165 8490800264 10613500330 21227000660 42454001320