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421313249280 = 21735711323
BaseRepresentation
bin1100010000110000011…
…10100000000000000000
31111021111001012121120210
412020120032200000000
523400322142434110
6521314301034120
742303351350010
oct6103016400000
91437431177523
10421313249280
11152750389000
12697a0b55940
133096410c751
141656aa57c40
15ae5cac0520
hex62183a0000

421313249280 has 1152 divisors, whose sum is σ = 1768446038016. Its totient is φ = 83739279360.

The previous prime is 421313249267. The next prime is 421313249281. The reversal of 421313249280 is 82942313124.

It is not an unprimeable number, because it can be changed into a prime (421313249281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18317967349 + ... + 18317967371.

It is an arithmetic number, because the mean of its divisors is an integer number (1535109408).

Almost surely, 2421313249280 is an apocalyptic number.

421313249280 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 421313249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884223019008).

421313249280 is an abundant number, since it is smaller than the sum of its proper divisors (1347132788736).

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

421313249280 is an frugal number, since it uses more digits than its factorization.

421313249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 421313249280 in words is "four hundred twenty-one billion, three hundred thirteen million, two hundred forty-nine thousand, two hundred eighty".