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434424304001 = 1792933982721
BaseRepresentation
bin1100101001001011011…
…01001101000110000001
31112112022202222012111002
412110211231031012001
524104200110212001
6531323300301345
743246303441232
oct6244555150601
91475282865432
10434424304001
11158269215516
127023b9a1855
1331c734c58ac
1417052051089
15b478b5c46b
hex6525b4d181

434424304001 has 8 divisors (see below), whose sum is σ = 436871426400. Its totient is φ = 431977406080.

The previous prime is 434424303983. The next prime is 434424304019. The reversal of 434424304001 is 100403424434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (434424303983) and next prime (434424304019).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-434424304001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434424304201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5210321 + ... + 5293041.

It is an arithmetic number, because the mean of its divisors is an integer number (54608928300).

Almost surely, 2434424304001 is an apocalyptic number.

It is an amenable number.

434424304001 is a deficient number, since it is larger than the sum of its proper divisors (2447122399).

434424304001 is a wasteful number, since it uses less digits than its factorization.

434424304001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112239.

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 434424304001 its reverse (100403424434), we get a palindrome (534827728435).

The spelling of 434424304001 in words is "four hundred thirty-four billion, four hundred twenty-four million, three hundred four thousand, one".

Divisors: 1 179 29339 82721 5251681 14807059 2426951419 434424304001