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42400300224 = 263415386217
BaseRepresentation
bin100111011111010000…
…010011110011000000
311001102221122102101210
4213133100103303000
51143313434101344
631251201330120
73030501414432
oct473720236300
9131387572353
1042400300224
1116a88956137
128273936940
133cc9444a59
1420a32a8652
1511825bbdb9
hex9df413cc0

42400300224 has 56 divisors (see below), whose sum is σ = 114920347248. Its totient is φ = 13788712960.

The previous prime is 42400300213. The next prime is 42400300237. The reversal of 42400300224 is 42200300424.

It is a self number, because there is not a number n which added to its sum of digits gives 42400300224.

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, 2685237 + ... + 2700980.

It is an arithmetic number, because the mean of its divisors is an integer number (2052149058).

Almost surely, 242400300224 is an apocalyptic number.

It is an amenable number.

42400300224 is an abundant number, since it is smaller than the sum of its proper divisors (72520047024).

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

42400300224 is a wasteful number, since it uses less digits than its factorization.

42400300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386273 (or 5386263 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 42400300224 its reverse (42200300424), we get a palindrome (84600600648).

The spelling of 42400300224 in words is "forty-two billion, four hundred million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 5386217 10772434 16158651 21544868 32317302 43089736 64634604 86179472 129269208 172358944 220834897 258538416 344717888 441669794 517076832 662504691 883339588 1034153664 1325009382 1766679176 2650018764 3533358352 5300037528 7066716704 10600075056 14133433408 21200150112 42400300224