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434214344043 = 32438385915737
BaseRepresentation
bin1100101000110010011…
…00010001010101101011
31112111210010220010120100
412110121030101111223
524103232333002133
6531250400200443
743241144012124
oct6243114212553
91474703803510
10434214344043
1115817074a497
12701a1609123
1331c3bb6202c
14170321d904b
15b4654d6e13
hex651931156b

434214344043 has 48 divisors (see below), whose sum is σ = 650314304640. Its totient is φ = 278994748032.

The previous prime is 434214344009. The next prime is 434214344099. The reversal of 434214344043 is 340443412434.

434214344043 is a `hidden beast` number, since 4 + 3 + 4 + 214 + 34 + 404 + 3 = 666.

It is not a de Polignac number, because 434214344043 - 210 = 434214343019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434214343989 and 434214344007.

It is not an unprimeable number, because it can be changed into a prime (434214344143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27584071 + ... + 27599807.

It is an arithmetic number, because the mean of its divisors is an integer number (13548214680).

Almost surely, 2434214344043 is an apocalyptic number.

434214344043 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

434214344043 is a deficient number, since it is larger than the sum of its proper divisors (216099960597).

434214344043 is a wasteful number, since it uses less digits than its factorization.

434214344043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16728 (or 16725 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 434214344043 its reverse (340443412434), we get a palindrome (774657756477).

The spelling of 434214344043 in words is "four hundred thirty-four billion, two hundred fourteen million, three hundred forty-four thousand, forty-three".

Divisors: 1 3 9 43 83 129 249 387 747 859 2577 3569 7731 10707 15737 32121 36937 47211 71297 110811 141633 213891 332433 641673 676691 1306171 2030073 3065771 3918513 6090219 9197313 11755539 13518083 27591939 40554249 56165353 121662747 168496059 505488177 581277569 1122000889 1743832707 3366002667 5231498121 10098008001 48246038227 144738114681 434214344043