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423933401430 = 2335721121371933
BaseRepresentation
bin1100010101101000110…
…01100101100101010110
31111112020122111010122000
412022310121211211112
523421203422321210
6522430300020130
742425315312400
oct6126431454526
91445218433560
10423933401430
11153875398100
126a1b2531646
1330c90bba136
1416738a23b70
15b062b31ac0
hex62b4665956

423933401430 has 576 divisors, whose sum is σ = 1456781941440. Its totient is φ = 87401825280.

The previous prime is 423933401387. The next prime is 423933401431. The reversal of 423933401430 is 34104339324.

423933401430 is a `hidden beast` number, since 423 + 93 + 3 + 4 + 0 + 143 + 0 = 666.

It is a super-3 number, since 3×4239334014303 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423933401431) 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 287 ways as a sum of consecutive naturals, for example, 219312744 + ... + 219314676.

It is an arithmetic number, because the mean of its divisors is an integer number (2529135315).

Almost surely, 2423933401430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423933401430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728390970720).

423933401430 is an abundant number, since it is smaller than the sum of its proper divisors (1032848540010).

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

423933401430 is a wasteful number, since it uses less digits than its factorization.

423933401430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 423933401430 in words is "four hundred twenty-three billion, nine hundred thirty-three million, four hundred one thousand, four hundred thirty".