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42102043420200 = 23352149470940083
BaseRepresentation
bin10011001001010101001010…
…10101111010011000101000
312112001220201210110201001220
421210222211111322120220
521004244441103421300
6225313224533542040
711603525612233431
oct1144524525723050
9175056653421056
1042102043420200
1112462415a04885
12487b7a91a4920
131a65289aa913a
14a57a6d548488
154d0286521da0
hex264aa557a628

42102043420200 has 96 divisors (see below), whose sum is σ = 131392283436000. Its totient is φ = 11151861141760.

The previous prime is 42102043420187. The next prime is 42102043420211. The reversal of 42102043420200 is 202434020124.

It is a super-3 number, since 3×421020434202003 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 235380642 + ... + 235559441.

It is an arithmetic number, because the mean of its divisors is an integer number (1368669619125).

Almost surely, 242102043420200 is an apocalyptic number.

42102043420200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42102043420200 is an abundant number, since it is smaller than the sum of its proper divisors (89290240015800).

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

42102043420200 is a wasteful number, since it uses less digits than its factorization.

42102043420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470940251 (or 470940242 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42102043420200 its reverse (202434020124), we get a palindrome (42304477440324).

The spelling of 42102043420200 in words is "forty-two trillion, one hundred two billion, forty-three million, four hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 149 150 200 298 300 447 596 600 745 894 1192 1490 1788 2235 2980 3576 3725 4470 5960 7450 8940 11175 14900 17880 22350 29800 44700 89400 470940083 941880166 1412820249 1883760332 2354700415 2825640498 3767520664 4709400830 5651280996 7064101245 9418801660 11302561992 11773502075 14128202490 18837603320 23547004150 28256404980 35320506225 47094008300 56512809960 70170072367 70641012450 94188016600 140340144734 141282024900 210510217101 280680289468 282564049800 350850361835 421020434202 561360578936 701700723670 842040868404 1052551085505 1403401447340 1684081736808 1754251809175 2105102171010 2806802894680 3508503618350 4210204342020 5262755427525 7017007236700 8420408684040 10525510855050 14034014473400 21051021710100 42102043420200