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434222073243764 = 2213171513252989671
BaseRepresentation
bin110001010111011000011010…
…0011011011110100001110100
32002221110020001212122020002022
41202232300310123132201310
5423403243301222300024
64135302511104332312
7160314336523634231
oct14256606433364164
92087406055566068
10434222073243764
111163a1602222233
124084b191914098
1315839c72b5c980
1479326637c0788
1535301a50d235e
hex18aec346de874

434222073243764 has 48 divisors (see below), whose sum is σ = 872217614774016. Its totient is φ = 187372204992000.

The previous prime is 434222073243691. The next prime is 434222073243769. The reversal of 434222073243764 is 467342370222434.

It is a super-2 number, since 2×4342220732437642 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434222073243769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626361352 + ... + 1626628319.

It is an arithmetic number, because the mean of its divisors is an integer number (18171200307792).

Almost surely, 2434222073243764 is an apocalyptic number.

It is an amenable number.

434222073243764 is an abundant number, since it is smaller than the sum of its proper divisors (437995541530252).

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

434222073243764 is a wasteful number, since it uses less digits than its factorization.

434222073243764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252989856 (or 3252989854 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 53.

The spelling of 434222073243764 in words is "four hundred thirty-four trillion, two hundred twenty-two billion, seventy-three million, two hundred forty-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 13 17 26 34 52 68 151 221 302 442 604 884 1963 2567 3926 5134 7852 10268 33371 66742 133484 3252989671 6505979342 13011958684 42288865723 55300824407 84577731446 110601648814 169155462892 221203297628 491201440321 718910717291 982402880642 1437821434582 1964805761284 2875642869164 6385618724173 8350424485457 12771237448346 16700848970914 25542474896692 33401697941828 108555518310941 217111036621882 434222073243764