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421413341400 = 233252234118523
BaseRepresentation
bin1100010000111100011…
…00010100100011011000
31111021202000112211011100
412020132030110203120
523401023303411100
6521332234231400
742306005204532
oct6103614244330
91437660484140
10421413341400
111527a1932767
126980a585560
133097ba8615c
141657a070852
15ae66792400
hex621e3148d8

421413341400 has 72 divisors (see below), whose sum is σ = 1415246477580. Its totient is φ = 112376890560.

The previous prime is 421413341369. The next prime is 421413341417. The reversal of 421413341400 is 4143314124.

421413341400 is a `hidden beast` number, since 4 + 214 + 1 + 3 + 3 + 41 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117057462 + ... + 117061061.

Almost surely, 2421413341400 is an apocalyptic number.

421413341400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421413341400 is an abundant number, since it is smaller than the sum of its proper divisors (993833136180).

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

421413341400 is a wasteful number, since it uses less digits than its factorization.

421413341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234118545 (or 234118533 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 421413341400 its reverse (4143314124), we get a palindrome (425556655524).

The spelling of 421413341400 in words is "four hundred twenty-one billion, four hundred thirteen million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 234118523 468237046 702355569 936474092 1170592615 1404711138 1872948184 2107066707 2341185230 2809422276 3511777845 4214133414 4682370460 5618844552 5852963075 7023555690 8428266828 9364740920 10535333535 11705926150 14047111380 16856533656 17558889225 21070667070 23411852300 28094222760 35117778450 42141334140 46823704600 52676667675 70235556900 84282668280 105353335350 140471113800 210706670700 421413341400