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42322012400 = 2452429724623
BaseRepresentation
bin100111011010100101…
…101010100011110000
311001020111022222200202
4213122211222203300
51143133413344100
631235323334332
73025531112153
oct473245524360
9131214288622
1042322012400
1116a48744358
1282516813a8
133cb6163ab5
142096b29c9a
15117a7a57d5
hex9da96a8f0

42322012400 has 60 divisors (see below), whose sum is σ = 101706427872. Its totient is φ = 16924177920.

The previous prime is 42322012393. The next prime is 42322012451. The reversal of 42322012400 is 421022324.

42322012400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×423220124003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1706489 + ... + 1731111.

Almost surely, 242322012400 is an apocalyptic number.

42322012400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42322012400 is an abundant number, since it is smaller than the sum of its proper divisors (59384415472).

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

42322012400 is a wasteful number, since it uses less digits than its factorization.

42322012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28938 (or 28927 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42322012400 its reverse (421022324), we get a palindrome (42743034724).

The spelling of 42322012400 in words is "forty-two billion, three hundred twenty-two million, twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4297 8594 17188 21485 24623 34376 42970 49246 68752 85940 98492 107425 123115 171880 196984 214850 246230 343760 393968 429700 492460 615575 859400 984920 1231150 1718800 1969840 2462300 4924600 9849200 105805031 211610062 423220124 529025155 846440248 1058050310 1692880496 2116100620 2645125775 4232201240 5290251550 8464402480 10580503100 21161006200 42322012400