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42263235120 = 2435612886833
BaseRepresentation
bin100111010111000101…
…011100101000110000
311001002101201210102110
4213113011130220300
51143023342010440
631225423445320
73024215366631
oct472705345060
9131071653373
1042263235120
1116a18549097
128235a56840
133ca6c24542
14208cdc9888
151175545080
hex9d715ca30

42263235120 has 80 divisors (see below), whose sum is σ = 133163878752. Its totient is φ = 11085434880.

The previous prime is 42263235109. The next prime is 42263235221. The reversal of 42263235120 is 2153236224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1428777 + ... + 1458056.

Almost surely, 242263235120 is an apocalyptic number.

42263235120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42263235120 is an abundant number, since it is smaller than the sum of its proper divisors (90900643632).

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

42263235120 is a wasteful number, since it uses less digits than its factorization.

42263235120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886910 (or 2886904 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 42263235120 in words is "forty-two billion, two hundred sixty-three million, two hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 2886833 5773666 8660499 11547332 14434165 17320998 23094664 28868330 34641996 43302495 46189328 57736660 69283992 86604990 115473320 138567984 173209980 176096813 230946640 346419960 352193626 528290439 692839920 704387252 880484065 1056580878 1408774504 1760968130 2113161756 2641452195 2817549008 3521936260 4226323512 5282904390 7043872520 8452647024 10565808780 14087745040 21131617560 42263235120