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242330421040 = 24528118795737
BaseRepresentation
bin1110000110110000000…
…1001100011100110000
3212011111102102212200021
43201230001030130300
512432243041433130
6303154113533224
723336113410151
oct3415401143460
9764442385607
10242330421040
1193854229044
123ab6bb74214
1319b0c1383a6
14ba2bd99928
15648483b37a
hex386c04c730

242330421040 has 80 divisors (see below), whose sum is σ = 565822802880. Its totient is φ = 96518983680.

The previous prime is 242330421037. The next prime is 242330421061. The reversal of 242330421040 is 40124033242.

It is a happy number.

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

It is a super-2 number, since 2×2423304210402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242330420996 and 242330421014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42237052 + ... + 42242788.

It is an arithmetic number, because the mean of its divisors is an integer number (7072785036).

Almost surely, 2242330421040 is an apocalyptic number.

242330421040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242330421040 is an abundant number, since it is smaller than the sum of its proper divisors (323492381840).

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

242330421040 is a wasteful number, since it uses less digits than its factorization.

242330421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7910 (or 7904 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 242330421040 its reverse (40124033242), we get a palindrome (282454454282).

The spelling of 242330421040 in words is "two hundred forty-two billion, three hundred thirty million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 281 562 1124 1405 1879 2248 2810 3758 4496 5620 5737 7516 9395 11240 11474 15032 18790 22480 22948 28685 30064 37580 45896 57370 75160 91792 114740 150320 229480 458960 527999 1055998 1612097 2111996 2639995 3224194 4223992 5279990 6448388 8060485 8447984 10559980 10779823 12896776 16120970 21119960 21559646 25793552 32241940 42239920 43119292 53899115 64483880 86238584 107798230 128967760 172477168 215596460 431192920 862385840 3029130263 6058260526 12116521052 15145651315 24233042104 30291302630 48466084208 60582605260 121165210520 242330421040