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434430434042 = 2111371512513803
BaseRepresentation
bin1100101001001100001…
…00100101101011111010
31112112100012111122022122
412110212010211223322
524104203142342132
6531324035521242
743246406522123
oct6244604455372
91475305448278
10434430434042
11158271722070
1270241a59222
1331c74860b37
1417052ba904a
15b47946d912
hex6526125afa

434430434042 has 64 divisors (see below), whose sum is σ = 723879410688. Its totient is φ = 193902000000.

The previous prime is 434430434027. The next prime is 434430434047. The reversal of 434430434042 is 240434034434.

It is a junction number, because it is equal to n+sod(n) for n = 434430433993 and 434430434011.

It is not an unprimeable number, because it can be changed into a prime (434430434047) 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 31 ways as a sum of consecutive naturals, for example, 114231713 + ... + 114235515.

It is an arithmetic number, because the mean of its divisors is an integer number (11310615792).

Almost surely, 2434430434042 is an apocalyptic number.

434430434042 is a deficient number, since it is larger than the sum of its proper divisors (289448976646).

434430434042 is a wasteful number, since it uses less digits than its factorization.

434430434042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355.

The product of its (nonzero) digits is 221184, while the sum is 35.

Adding to 434430434042 its reverse (240434034434), we get a palindrome (674864468476).

The spelling of 434430434042 in words is "four hundred thirty-four billion, four hundred thirty million, four hundred thirty-four thousand, forty-two".

Divisors: 1 2 11 22 137 151 251 274 302 502 1507 1661 2761 3014 3322 3803 5522 7606 20687 34387 37901 41374 41833 68774 75802 83666 227557 378257 416911 455114 521011 574253 756514 833822 954553 1042022 1148506 1909106 5192437 5731121 6316783 10384874 10500083 11462242 12633566 21000166 57116807 78672661 114233614 130773761 144137503 157345322 261547522 288275006 865399271 1438511371 1585512533 1730798542 2877022742 3171025066 19746837911 39493675822 217215217021 434430434042