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42022230203232 = 253416212280171
BaseRepresentation
bin10011000111000000100000…
…00110101001101101100000
312111210021201110211012020000
421203200100012221231200
521001443011413000412
6225212425051420000
711565002016130656
oct1143402006515540
9174707643735200
1042022230203232
1112431589483644
124868233a54600
131a5a8aa581736
14a53c5b510dd6
154cd16464b4dc
hex2638101a9b60

42022230203232 has 60 divisors (see below), whose sum is σ = 123586211751156. Its totient is φ = 14007410066880.

The previous prime is 42022230203227. The next prime is 42022230203249. The reversal of 42022230203232 is 23230203222024.

42022230203232 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 223 + 0 + 203 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42022230203196 and 42022230203205.

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 9 ways as a sum of consecutive naturals, for example, 8106137494 + ... + 8106142677.

Almost surely, 242022230203232 is an apocalyptic number.

It is an amenable number.

42022230203232 is an abundant number, since it is smaller than the sum of its proper divisors (81563981547924).

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

42022230203232 is a wasteful number, since it uses less digits than its factorization.

42022230203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16212280193 (or 16212280176 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 42022230203232 its reverse (23230203222024), we get a palindrome (65252433425256).

The spelling of 42022230203232 in words is "forty-two trillion, twenty-two billion, two hundred thirty million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 16212280171 32424560342 48636840513 64849120684 97273681026 129698241368 145910521539 194547362052 259396482736 291821043078 389094724104 437731564617 518792965472 583642086156 778189448208 875463129234 1167284172312 1313194693851 1556378896416 1750926258468 2334568344624 2626389387702 3501852516936 4669136689248 5252778775404 7003705033872 10505557550808 14007410067744 21011115101616 42022230203232