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421855439400 = 23325210714711489
BaseRepresentation
bin1100010001110001000…
…10110010101000101000
31111022212211102201121100
412020320202302220220
523402424443030100
6521444150041400
742322654033143
oct6107042625050
91438784381540
10421855439400
111529a944150a
1269912649260
1330a1c5471c5
14165bca7305a
15ae904be400
hex62388b2a28

421855439400 has 288 divisors, whose sum is σ = 1431904780800. Its totient is φ = 111292876800.

The previous prime is 421855439351. The next prime is 421855439417. The reversal of 421855439400 is 4934558124.

421855439400 is a `hidden beast` number, since 4 + 2 + 1 + 8 + 554 + 3 + 94 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283313856 + ... + 283315344.

It is an arithmetic number, because the mean of its divisors is an integer number (4971891600).

Almost surely, 2421855439400 is an apocalyptic number.

421855439400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421855439400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715952390400).

421855439400 is an abundant number, since it is smaller than the sum of its proper divisors (1010049341400).

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

421855439400 is a wasteful number, since it uses less digits than its factorization.

421855439400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 421855439400 in words is "four hundred twenty-one billion, eight hundred fifty-five million, four hundred thirty-nine thousand, four hundred".