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42330424240 = 24513371100063
BaseRepresentation
bin100111011011000101…
…110000001110110000
311001021002011100120101
4213123011300032300
51143143042033430
631240223522144
73025662445366
oct473305601660
9131232140511
1042330424240
1116a5246a295
128254459354
133cb7b1a810
142097cb9636
15117b3b7dca
hex9db1703b0

42330424240 has 80 divisors (see below), whose sum is σ = 108853532928. Its totient is φ = 15207257088.

The previous prime is 42330424223. The next prime is 42330424249. The reversal of 42330424240 is 4242403324.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 42330424199 and 42330424208.

It is not an unprimeable number, because it can be changed into a prime (42330424249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 511552 + ... + 588511.

Almost surely, 242330424240 is an apocalyptic number.

42330424240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42330424240 is an abundant number, since it is smaller than the sum of its proper divisors (66523108688).

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

42330424240 is a wasteful number, since it uses less digits than its factorization.

42330424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100126 (or 1100120 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 42330424240 its reverse (4242403324), we get a palindrome (46572827564).

The spelling of 42330424240 in words is "forty-two billion, three hundred thirty million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 7696 9620 19240 38480 1100063 2200126 4400252 5500315 8800504 11000630 14300819 17601008 22001260 28601638 40702331 44002520 57203276 71504095 81404662 88005040 114406552 143008190 162809324 203511655 228813104 286016380 325618648 407023310 529130303 572032760 651237296 814046620 1058260606 1144065520 1628093240 2116521212 2645651515 3256186480 4233042424 5291303030 8466084848 10582606060 21165212120 42330424240