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423224714880 = 273451123361
BaseRepresentation
bin1100010100010100010…
…10001010011010000000
31111110102020222010110000
412022022022022122000
523413231011334010
6522232102240000
742401621502012
oct6121212123200
91443366863400
10423224714880
11153541355440
126a035126000
1330baa128c96
14166ac8681b2
15b0207e57c0
hex628a28a680

423224714880 has 1280 divisors, whose sum is σ = 1752011078400. Its totient is φ = 96530227200.

The previous prime is 423224714879. The next prime is 423224714893. The reversal of 423224714880 is 88417422324.

423224714880 is a `hidden beast` number, since 42 + 3 + 22 + 471 + 48 + 80 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6938110050 + ... + 6938110110.

It is an arithmetic number, because the mean of its divisors is an integer number (1368758655).

Almost surely, 2423224714880 is an apocalyptic number.

423224714880 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 423224714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876005539200).

423224714880 is an abundant number, since it is smaller than the sum of its proper divisors (1328786363520).

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

423224714880 is an equidigital number, since it uses as much as digits as its factorization.

423224714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 423224714880 in words is "four hundred twenty-three billion, two hundred twenty-four million, seven hundred fourteen thousand, eight hundred eighty".