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42311330400 = 2535217629721
BaseRepresentation
bin100111011001111100…
…111010101001100000
311001012202020021202010
4213121330322221200
51143123200033100
631234302352520
73025341242253
oct473174725140
9131182207663
1042311330400
1116a42708859
128249b8b740
133cb3b939a1
14209554909a
151179895750
hex9d9f3aa60

42311330400 has 72 divisors (see below), whose sum is σ = 137723388264. Its totient is φ = 11283020800.

The previous prime is 42311330393. The next prime is 42311330441. The reversal of 42311330400 is 403311324.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8812461 + ... + 8817260.

It is an arithmetic number, because the mean of its divisors is an integer number (1912824837).

Almost surely, 242311330400 is an apocalyptic number.

42311330400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42311330400 is an abundant number, since it is smaller than the sum of its proper divisors (95412057864).

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

42311330400 is a wasteful number, since it uses less digits than its factorization.

42311330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17629744 (or 17629731 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 42311330400 its reverse (403311324), we get a palindrome (42714641724).

The spelling of 42311330400 in words is "forty-two billion, three hundred eleven million, three hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 17629721 35259442 52889163 70518884 88148605 105778326 141037768 176297210 211556652 264445815 282075536 352594420 423113304 440743025 528891630 564151072 705188840 846226608 881486050 1057783260 1322229075 1410377680 1692453216 1762972100 2115566520 2644458150 2820755360 3525944200 4231133040 5288916300 7051888400 8462266080 10577832600 14103776800 21155665200 42311330400