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42044300032 = 287128318287
BaseRepresentation
bin100111001010000010…
…010001101100000000
311000112010202201221111
4213022002101230000
51142101320100112
631152003133104
73015616440130
oct471202215400
9130463681844
1042044300032
1116915a029a9
128194674194
133c7076a757
14206bcb8ac0
1511611ea5a7
hex9ca091b00

42044300032 has 72 divisors (see below), whose sum is σ = 95993565696. Its totient is φ = 18003956736.

The previous prime is 42044300003. The next prime is 42044300041. The reversal of 42044300032 is 23000344024.

It is a junction number, because it is equal to n+sod(n) for n = 42044299976 and 42044300012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2289993 + ... + 2308279.

It is an arithmetic number, because the mean of its divisors is an integer number (1333243968).

Almost surely, 242044300032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42044300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47996782848).

42044300032 is an abundant number, since it is smaller than the sum of its proper divisors (53949265664).

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

42044300032 is a wasteful number, since it uses less digits than its factorization.

42044300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19593 (or 19579 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 42044300032 its reverse (23000344024), we get a palindrome (65044644056).

The spelling of 42044300032 in words is "forty-two billion, forty-four million, three hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1283 1792 2566 5132 8981 10264 17962 18287 20528 35924 36574 41056 71848 73148 82112 128009 143696 146296 164224 256018 287392 292592 328448 512036 574784 585184 1024072 1149568 1170368 2048144 2299136 2340736 4096288 4681472 8192576 16385152 23462221 32770304 46924442 93848884 164235547 187697768 328471094 375395536 656942188 750791072 1313884376 1501582144 2627768752 3003164288 5255537504 6006328576 10511075008 21022150016 42044300032