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421310522880 = 293551359883
BaseRepresentation
bin1100010000110000001…
…00000110011000000000
31111021110212002002200000
412020120010012120000
523400320443213010
6521314122400000
742303316233222
oct6103004063000
91437425062600
10421310522880
11152749896685
12697a0060000
13309636967b0
141656a548412
15ae5c7327c0
hex6218106600

421310522880 has 960 divisors, whose sum is σ = 1659051313920. Its totient is φ = 101833998336.

The previous prime is 421310522849. The next prime is 421310522921. The reversal of 421310522880 is 88225013124.

It is a happy number.

421310522880 is a `hidden beast` number, since 4 + 21 + 31 + 0 + 522 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 477134919 + ... + 477135801.

It is an arithmetic number, because the mean of its divisors is an integer number (1728178452).

Almost surely, 2421310522880 is an apocalyptic number.

421310522880 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 421310522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829525656960).

421310522880 is an abundant number, since it is smaller than the sum of its proper divisors (1237740791040).

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

421310522880 is an equidigital number, since it uses as much as digits as its factorization.

421310522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 421310522880 in words is "four hundred twenty-one billion, three hundred ten million, five hundred twenty-two thousand, eight hundred eighty".