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42735031339 = 71113372514597
BaseRepresentation
bin100111110011001101…
…001101010000101011
311002022021111112011111
4213303031031100223
51200010132000324
631344320011151
73042004526050
oct476315152053
9132267445144
1042735031339
111713a8a1620
128347a60ab7
1340508b30c0
1420d591d027
1511a1b8b794
hex9f334d42b

42735031339 has 64 divisors (see below), whose sum is σ = 59176922112. Its totient is φ = 29782080000.

The previous prime is 42735031333. The next prime is 42735031357. The reversal of 42735031339 is 93313053724.

It is a cyclic number.

It is not a de Polignac number, because 42735031339 - 23 = 42735031331 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42735031331) 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 63 ways as a sum of consecutive naturals, for example, 9293989 + ... + 9298585.

It is an arithmetic number, because the mean of its divisors is an integer number (924639408).

Almost surely, 242735031339 is an apocalyptic number.

42735031339 is a deficient number, since it is larger than the sum of its proper divisors (16441890773).

42735031339 is a wasteful number, since it uses less digits than its factorization.

42735031339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916.

The product of its (nonzero) digits is 204120, while the sum is 40.

The spelling of 42735031339 in words is "forty-two billion, seven hundred thirty-five million, thirty-one thousand, three hundred thirty-nine".

Divisors: 1 7 11 13 37 77 91 143 251 259 407 481 1001 1757 2761 2849 3263 3367 4597 5291 9287 19327 22841 32179 35893 37037 50567 59761 65009 102157 120731 170089 251251 353969 418327 657371 715099 845117 1153847 1190623 1328041 1870979 2211157 4601597 8076929 9296287 12692317 13096853 15000011 15478099 24322727 42692339 88846219 105000077 165000121 170259089 298846373 469615729 555000407 1155000847 3287310103 3885002849 6105004477 42735031339