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10024234304 = 26743520361
BaseRepresentation
bin10010101010111110…
…11010110101000000
3221212121100212100012
421111133122311000
5131012200444204
64334410044052
7503260404620
oct112537326500
927777325305
1010024234304
114284467667
121b39119628
13c39a23cb6
146b1470880
153da09876e
hex2557dad40

10024234304 has 56 divisors (see below), whose sum is σ = 23262262848. Its totient is φ = 4196183040.

The previous prime is 10024234273. The next prime is 10024234313. The reversal of 10024234304 is 40343242001.

10024234304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 10024234304.

It is a congruent number.

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, 240917 + ... + 279444.

Almost surely, 210024234304 is an apocalyptic number.

10024234304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10024234304 is an abundant number, since it is smaller than the sum of its proper divisors (13238028544).

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

10024234304 is an equidigital number, since it uses as much as digits as its factorization.

10024234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520423 (or 520413 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 10024234304 its reverse (40343242001), we get a palindrome (50367476305).

The spelling of 10024234304 in words is "ten billion, twenty-four million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 2408 2752 4816 9632 19264 520361 1040722 2081444 3642527 4162888 7285054 8325776 14570108 16651552 22375523 29140216 33303104 44751046 58280432 89502092 116560864 156628661 179004184 233121728 313257322 358008368 626514644 716016736 1253029288 1432033472 2506058576 5012117152 10024234304