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42003433305 = 355672412141
BaseRepresentation
bin100111000111100110…
…011000011101011001
311000102021212111100000
4213013212120131121
51142010334331210
631143543203213
73014612202141
oct470746303531
9130367774300
1042003433305
11168a4930149
128182a46509
133c6515c562
1420666bb921
15115c826ac0
hex9c7998759

42003433305 has 96 divisors (see below), whose sum is σ = 76983274368. Its totient is φ = 21965644800.

The previous prime is 42003433301. The next prime is 42003433309. The reversal of 42003433305 is 50333430024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42003433301) and next prime (42003433309).

It is not a de Polignac number, because 42003433305 - 22 = 42003433301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42003433301) 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 95 ways as a sum of consecutive naturals, for example, 19617535 + ... + 19619675.

It is an arithmetic number, because the mean of its divisors is an integer number (801909108).

Almost surely, 242003433305 is an apocalyptic number.

42003433305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42003433305 is a deficient number, since it is larger than the sum of its proper divisors (34979841063).

42003433305 is a wasteful number, since it uses less digits than its factorization.

42003433305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

Adding to 42003433305 its reverse (50333430024), we get a palindrome (92336863329).

The spelling of 42003433305 in words is "forty-two billion, three million, four hundred thirty-three thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 67 81 135 201 241 243 335 405 603 723 1005 1205 1215 1809 2141 2169 3015 3615 5427 6423 6507 9045 10705 10845 16147 16281 19269 19521 27135 32115 32535 48441 57807 58563 80735 81405 96345 97605 143447 145323 173421 242205 289035 292815 430341 435969 515981 520263 717235 726615 867105 1291023 1307907 1547943 2151705 2179845 2579905 2601315 3873069 3923721 4643829 6455115 6539535 7739715 11619207 13931487 19365345 19618605 23219145 34570727 34857621 41794461 58096035 69657435 103712181 125383383 172853635 174288105 208972305 311136543 518560905 626916915 933409629 1555682715 2800228887 4667048145 8400686661 14001144435 42003433305