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421313596344 = 233567732607
BaseRepresentation
bin1100010000110000011…
…11110100101110111000
31111021111001212020200000
412020120033310232320
523400322240040334
6521314312313000
742303354323604
oct6103017645670
91437431766600
10421313596344
111527505a5833
12697a10a2760
1330964201704
141656ab08504
15ae5cb3d299
hex62183f4bb8

421313596344 has 288 divisors, whose sum is σ = 1219663710720. Its totient is φ = 136221896448.

The previous prime is 421313596343. The next prime is 421313596349. The reversal of 421313596344 is 443695313124.

421313596344 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 1 + 3 + 5 + 9 + 634 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 421313596344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421313596343) 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 71 ways as a sum of consecutive naturals, for example, 694091289 + ... + 694091895.

It is an arithmetic number, because the mean of its divisors is an integer number (4234943440).

Almost surely, 2421313596344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421313596344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609831855360).

421313596344 is an abundant number, since it is smaller than the sum of its proper divisors (798350114376).

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

421313596344 is an equidigital number, since it uses as much as digits as its factorization.

421313596344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 752 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 421313596344 in words is "four hundred twenty-one billion, three hundred thirteen million, five hundred ninety-six thousand, three hundred forty-four".