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42302033344 = 265967271617
BaseRepresentation
bin100111011001011001…
…011100110111000000
311001012002201221120201
4213121121130313000
51143113310031334
631233331214544
73025166231164
oct473131346700
9131162657521
1042302033344
1116a3843883a
128246a47454
133cb1c8a07c
142094208ca4
151178b5ac14
hex9d965cdc0

42302033344 has 112 divisors (see below), whose sum is σ = 87100623360. Its totient is φ = 20373534720.

The previous prime is 42302033299. The next prime is 42302033381. The reversal of 42302033344 is 44333020324.

42302033344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 68560524 + ... + 68561140.

Almost surely, 242302033344 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 42302033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43550311680).

42302033344 is an abundant number, since it is smaller than the sum of its proper divisors (44798590016).

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

42302033344 is a wasteful number, since it uses less digits than its factorization.

42302033344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 42302033344 its reverse (44333020324), we get a palindrome (86635053668).

The spelling of 42302033344 in words is "forty-two billion, three hundred two million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 59 64 67 118 134 236 268 271 472 536 542 617 944 1072 1084 1234 1888 2144 2168 2468 3776 3953 4288 4336 4936 7906 8672 9872 15812 15989 17344 18157 19744 31624 31978 36314 36403 39488 41339 63248 63956 72628 72806 82678 126496 127912 145256 145612 165356 167207 252992 255824 290512 291224 330712 334414 511648 581024 582448 661424 668828 1023296 1071263 1162048 1164896 1322848 1337656 2142526 2329792 2439001 2645696 2675312 4285052 4878002 5350624 8570104 9756004 9865213 10701248 11202869 17140208 19512008 19730426 22405738 34280416 39024016 39460852 44811476 68560832 78048032 78921704 89622952 156096064 157843408 179245904 315686816 358491808 631373632 660969271 716983616 1321938542 2643877084 5287754168 10575508336 21151016672 42302033344