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434430434039 = 7313494957283
BaseRepresentation
bin1100101001001100001…
…00100101101011110111
31112112100012111122022112
412110212010211223313
524104203142342124
6531324035521235
743246406522120
oct6244604455367
91475305448275
10434430434039
11158271722068
1270241a5921b
1331c74860b34
1417052ba9047
15b47946d90e
hex6526125af7

434430434039 has 16 divisors (see below), whose sum is σ = 512531404800. Its totient is φ = 360340440480.

The previous prime is 434430434027. The next prime is 434430434047. The reversal of 434430434039 is 930434034434.

It is a cyclic number.

It is not a de Polignac number, because 434430434039 - 24 = 434430434023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434430433987 and 434430434005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434430434839) 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, 7555292 + ... + 7612574.

It is an arithmetic number, because the mean of its divisors is an integer number (32033212800).

Almost surely, 2434430434039 is an apocalyptic number.

434430434039 is a deficient number, since it is larger than the sum of its proper divisors (78100970761).

434430434039 is a wasteful number, since it uses less digits than its factorization.

434430434039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92270.

The product of its (nonzero) digits is 746496, while the sum is 41.

The spelling of 434430434039 in words is "four hundred thirty-four billion, four hundred thirty million, four hundred thirty-four thousand, thirty-nine".

Divisors: 1 7 31 217 34949 57283 244643 400981 1083419 1775773 7583933 12430411 2001983567 14013884969 62061490577 434430434039