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423432000000 = 2932565881
BaseRepresentation
bin1100010100101101000…
…00111001001000000000
31111110221201000022011200
412022112200321020000
523414142043000000
6522304425141200
742410016420552
oct6122640711000
91443851008150
10423432000000
11153638363859
126a09262a800
1330c110641b9
14166cc1c54d2
15b033add500
hex6296839200

423432000000 has 420 divisors, whose sum is σ = 1527806967258. Its totient is φ = 112896000000.

The previous prime is 423431999987. The next prime is 423432000073. The reversal of 423432000000 is 234324.

423432000000 is a `hidden beast` number, since 423 + 43 + 200 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 149342056704 + 274089943296 = 386448^2 + 523536^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 41 ways as a sum of consecutive naturals, for example, 71997060 + ... + 72002940.

Almost surely, 2423432000000 is an apocalyptic number.

423432000000 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 423432000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763903483629).

423432000000 is an abundant number, since it is smaller than the sum of its proper divisors (1104374967258).

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

423432000000 is an frugal number, since it uses more digits than its factorization.

423432000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 423432000000 its reverse (234324), we get a palindrome (423432234324).

The spelling of 423432000000 in words is "four hundred twenty-three billion, four hundred thirty-two million", and thus it is an aban number.