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421032327840 = 253351749911489
BaseRepresentation
bin1100010000001110111…
…10110111101010100000
31111020202110121022211000
412020013132313222200
523344233233442330
6521230343552000
742263400511035
oct6100736675240
91436673538730
10421032327840
11152616855623
1269722a5b600
133091ab61847
141654160d38c
15ae430ce560
hex62077b7aa0

421032327840 has 384 divisors, whose sum is σ = 1563559200000. Its totient is φ = 105449914368.

The previous prime is 421032327839. The next prime is 421032327841. The reversal of 421032327840 is 48723230124.

It is a happy number.

421032327840 is a `hidden beast` number, since 4 + 21 + 0 + 323 + 278 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (421032327839) and next prime (421032327841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 421032327795 and 421032327804.

It is not an unprimeable number, because it can be changed into a prime (421032327841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36640816 + ... + 36652304.

It is an arithmetic number, because the mean of its divisors is an integer number (4071768750).

Almost surely, 2421032327840 is an apocalyptic number.

421032327840 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 421032327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781779600000).

421032327840 is an abundant number, since it is smaller than the sum of its proper divisors (1142526872160).

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

421032327840 is a wasteful number, since it uses less digits than its factorization.

421032327840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12029 (or 12015 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 421032327840 its reverse (48723230124), we get a palindrome (469755557964).

The spelling of 421032327840 in words is "four hundred twenty-one billion, thirty-two million, three hundred twenty-seven thousand, eight hundred forty".