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14042121015040 = 28517476279569
BaseRepresentation
bin1100110001010110111110…
…1000101000111100000000
31211201102011120001012220121
43030111233220220330000
53320031230434440130
645510510014350024
72646336564152506
oct314255750507400
954642146035817
1014042121015040
114524259265718
1216a9559abb314
137ab2215717a1
143678dc5d6676
15195403bedd7a
hexcc56fa28f00

14042121015040 has 72 divisors (see below), whose sum is σ = 33654526511760. Its totient is φ = 5613632372736.

The previous prime is 14042121015031. The next prime is 14042121015047. The reversal of 14042121015040 is 4051012124041.

It is a junction number, because it is equal to n+sod(n) for n = 14042121014996 and 14042121015014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042121015047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 903625 + ... + 5375944.

It is an arithmetic number, because the mean of its divisors is an integer number (467423979330).

Almost surely, 214042121015040 is an apocalyptic number.

14042121015040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14042121015040 is an abundant number, since it is smaller than the sum of its proper divisors (19612405496720).

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

14042121015040 is an equidigital number, since it uses as much as digits as its factorization.

14042121015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6281337 (or 6281323 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 14042121015040 its reverse (4051012124041), we get a palindrome (18093133139081).

The spelling of 14042121015040 in words is "fourteen trillion, forty-two billion, one hundred twenty-one million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1747 3494 6988 8735 13976 17470 27952 34940 55904 69880 111808 139760 223616 279520 447232 559040 1118080 2236160 6279569 12559138 25118276 31397845 50236552 62795690 100473104 125591380 200946208 251182760 401892416 502365520 803784832 1004731040 1607569664 2009462080 4018924160 8037848320 10970407043 21940814086 43881628172 54852035215 87763256344 109704070430 175526512688 219408140860 351053025376 438816281720 702106050752 877632563440 1404212101504 1755265126880 2808424203008 3510530253760 7021060507520 14042121015040