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42115325333200 = 2452760497248627
BaseRepresentation
bin10011001001101101111010…
…00000011000111011010000
312112010012000102201210110121
421210312331000120323100
521010004141241130300
6225323302515240024
711604506010520030
oct1144667500307320
9175105012653417
1042115325333200
111246801122a689
1248822952a9014
131a665c56b5162
14a5856d4d98c0
154d07b25ad81a
hex264dbd018ed0

42115325333200 has 120 divisors (see below), whose sum is σ = 115639026967872. Its totient is φ = 14439243356160.

The previous prime is 42115325333167. The next prime is 42115325333219. The reversal of 42115325333200 is 233352351124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169267287 + ... + 169515913.

Almost surely, 242115325333200 is an apocalyptic number.

42115325333200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42115325333200 is an abundant number, since it is smaller than the sum of its proper divisors (73523701634672).

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

42115325333200 is a wasteful number, since it uses less digits than its factorization.

42115325333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309149 (or 309138 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 42115325333200 its reverse (233352351124), we get a palindrome (42348677684324).

The spelling of 42115325333200 in words is "forty-two trillion, one hundred fifteen billion, three hundred twenty-five million, three hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 60497 120994 241988 248627 302485 423479 483976 497254 604970 846958 967952 994508 1209940 1243135 1512425 1693916 1740389 1989016 2117395 2419880 2486270 3024850 3387832 3480778 3978032 4234790 4839760 4972540 6049700 6215675 6775664 6961556 8469580 8701945 9945080 10586975 12099400 12431350 13923112 16939160 17403890 19890160 21173950 24198800 24862700 27846224 33878320 34807780 42347900 43509725 49725400 69615560 84695800 87019450 99450800 139231120 169391600 174038900 348077800 696155600 15041187619 30082375238 60164750476 75205938095 105288313333 120329500952 150411876190 210576626666 240659001904 300823752380 376029690475 421153253332 526441566665 601647504760 752059380950 842306506664 1052883133330 1203295009520 1504118761900 1684613013328 2105766266660 2632207833325 3008237523800 4211532533320 5264415666650 6016475047600 8423065066640 10528831333300 21057662666600 42115325333200