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424204440030 = 232572251409937
BaseRepresentation
bin1100010110001001000…
…11100001000111011110
31111112221112111022200200
412023010203201013132
523422232314040110
6522513221204330
742435116150400
oct6130443410736
91445845438620
10424204440030
111539a4390448
126a2692606a6
13310050b78c7
1416762a18b70
15b07b81e6c0
hex62c48e11de

424204440030 has 288 divisors, whose sum is σ = 1292641066080. Its totient is φ = 96235776000.

The previous prime is 424204440029. The next prime is 424204440031. The reversal of 424204440030 is 30044402424.

It is a happy number.

424204440030 is a `hidden beast` number, since 4 + 24 + 204 + 4 + 400 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (424204440029) and next prime (424204440031).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 424204439976 and 424204440003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424204440031) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 452725722 + ... + 452726658.

It is an arithmetic number, because the mean of its divisors is an integer number (4488337035).

Almost surely, 2424204440030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424204440030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646320533040).

424204440030 is an abundant number, since it is smaller than the sum of its proper divisors (868436626050).

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

424204440030 is a wasteful number, since it uses less digits than its factorization.

424204440030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 424204440030 its reverse (30044402424), we get a palindrome (454248842454).

The spelling of 424204440030 in words is "four hundred twenty-four billion, two hundred four million, four hundred forty thousand, thirty".