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423605142720 = 2635517331489
BaseRepresentation
bin1100010101000001101…
…01011000010011000000
31111111101202210212100000
412022200311120103000
523420020404031340
6522333532200000
742414221206044
oct6124065302300
91444352725300
10423605142720
11153717072511
126a120609000
1330c3aba6b06
14167071b6024
15b043dded30
hex62a0d584c0

423605142720 has 336 divisors, whose sum is σ = 1519771387680. Its totient is φ = 112304848896.

The previous prime is 423605142703. The next prime is 423605142731. The reversal of 423605142720 is 27241506324.

423605142720 is a `hidden beast` number, since 4 + 2 + 3 + 605 + 1 + 4 + 27 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13436736 + ... + 13468224.

It is an arithmetic number, because the mean of its divisors is an integer number (4523129130).

Almost surely, 2423605142720 is an apocalyptic number.

423605142720 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 423605142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759885693840).

423605142720 is an abundant number, since it is smaller than the sum of its proper divisors (1096166244960).

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

423605142720 is a wasteful number, since it uses less digits than its factorization.

423605142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31694 (or 31672 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 423605142720 in words is "four hundred twenty-three billion, six hundred five million, one hundred forty-two thousand, seven hundred twenty".